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Question
8x^{2}+2x-4x
Simplify the expression
8x^{2}-2x
Evaluate
8x^{2}+2x-4x
Solution
More Steps
Evaluate
2x-4x
Collect like terms by calculating the sum or difference of their coefficients
\left(2-4\right)x
Subtract the numbers
-2x
8x^{2}-2x
Show Solutions
Factor the expression
2x\left(4x-1\right)
Evaluate
8x^{2}+2x-4x
Subtract the terms
More Steps
Evaluate
2x-4x
Collect like terms by calculating the sum or difference of their coefficients
\left(2-4\right)x
Subtract the numbers
-2x
8x^{2}-2x
Rewrite the expression
2x\times 4x-2x
Solution
2x\left(4x-1\right)
Show Solutions
Find the roots
x_{1}=0,x_{2}=\frac{1}{4}
Alternative Form
x_{1}=0,x_{2}=0.25
Evaluate
8x^{2}+2x-4x
To find the roots of the expression,set the expression equal to 0
8x^{2}+2x-4x=0
Subtract the terms
More Steps
Simplify
8x^{2}+2x-4x
Subtract the terms
More Steps
Evaluate
2x-4x
Collect like terms by calculating the sum or difference of their coefficients
\left(2-4\right)x
Subtract the numbers
-2x
8x^{2}-2x
8x^{2}-2x=0
Factor the expression
More Steps
Evaluate
8x^{2}-2x
Rewrite the expression
2x\times 4x-2x
\text{Factor out }2x\text{ from the expression}
2x\left(4x-1\right)
2x\left(4x-1\right)=0
When the product of factors equals 0,at least one factor is 0
\begin{align}&2x=0\\&4x-1=0\end{align}
\text{Solve the equation for }x
\begin{align}&x=0\\&4x-1=0\end{align}
\text{Solve the equation for }x
More Steps
Evaluate
4x-1=0
Move the constant to the right-hand side and change its sign
4x=0+1
Removing 0 doesn't change the value,so remove it from the expression
4x=1
Divide both sides
\frac{4x}{4}=\frac{1}{4}
Divide the numbers
x=\frac{1}{4}
\begin{align}&x=0\\&x=\frac{1}{4}\end{align}
Solution
x_{1}=0,x_{2}=\frac{1}{4}
Alternative Form
x_{1}=0,x_{2}=0.25
Show Solutions
