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Question
3333x^{3}\times 333+9999x\times 8889
Simplify the expression
1109889x^{3}+88881111x
Evaluate
3333x^{3}\times 333+9999x\times 8889
Multiply the terms
1109889x^{3}+9999x\times 8889
Solution
1109889x^{3}+88881111x
Show Solutions
Factor the expression
29997x\left(37x^{2}+2963\right)
Evaluate
3333x^{3}\times 333+9999x\times 8889
Multiply the terms
1109889x^{3}+9999x\times 8889
Multiply the terms
1109889x^{3}+88881111x
Rewrite the expression
29997x\times 37x^{2}+29997x\times 2963
Solution
29997x\left(37x^{2}+2963\right)
Show Solutions
Find the roots
x_{1}=-\frac{\sqrt{109631}}{37}i,x_{2}=\frac{\sqrt{109631}}{37}i,x_{3}=0
Alternative Form
x_{1}\approx -8.948803i,x_{2}\approx 8.948803i,x_{3}=0
Evaluate
3333x^{3}\times 333+9999x\times 8889
To find the roots of the expression,set the expression equal to 0
3333x^{3}\times 333+9999x\times 8889=0
Multiply the terms
1109889x^{3}+9999x\times 8889=0
Multiply the terms
1109889x^{3}+88881111x=0
Factor the expression
29997x\left(37x^{2}+2963\right)=0
Divide both sides
x\left(37x^{2}+2963\right)=0
\text{Separate the equation into }2\text{ possible cases}
\begin{align}&x=0\\&37x^{2}+2963=0\end{align}
Solve the equation
More Steps
Evaluate
37x^{2}+2963=0
Move the constant to the right-hand side and change its sign
37x^{2}=0-2963
Removing 0 doesn't change the value,so remove it from the expression
37x^{2}=-2963
Divide both sides
\frac{37x^{2}}{37}=\frac{-2963}{37}
Divide the numbers
x^{2}=\frac{-2963}{37}
\text{Use }\frac{-a}{b}=\frac{a}{-b}=-\frac{a}{b}\text{ to rewrite the fraction}
x^{2}=-\frac{2963}{37}
Take the root of both sides of the equation and remember to use both positive and negative roots
x=\pm \sqrt{-\frac{2963}{37}}
Simplify the expression
More Steps
Evaluate
\sqrt{-\frac{2963}{37}}
Evaluate the power
\sqrt{\frac{2963}{37}}\times \sqrt{-1}
Evaluate the power
\sqrt{\frac{2963}{37}}\times i
Evaluate the power
\frac{\sqrt{109631}}{37}i
x=\pm \frac{\sqrt{109631}}{37}i
\text{Separate the equation into }2\text{ possible cases}
\begin{align}&x=\frac{\sqrt{109631}}{37}i\\&x=-\frac{\sqrt{109631}}{37}i\end{align}
\begin{align}&x=0\\&x=\frac{\sqrt{109631}}{37}i\\&x=-\frac{\sqrt{109631}}{37}i\end{align}
Solution
x_{1}=-\frac{\sqrt{109631}}{37}i,x_{2}=\frac{\sqrt{109631}}{37}i,x_{3}=0
Alternative Form
x_{1}\approx -8.948803i,x_{2}\approx 8.948803i,x_{3}=0
Show Solutions
