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9x-24x+16=

Algebra Calculus Trigonometry Matrix

Question

9x-24x+16

Simplify the expression

-15x+16

Evaluate

9x-24x+16

Solution

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Calculate

9x-24x

Collect like terms by calculating the sum or difference of their coefficients

\left(9-24\right)x

Subtract the numbers

-15x

-15x+16

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Find the roots

x=\frac{16}{15}

Alternative Form

x=1.0\dot{6}

Evaluate

9x-24x+16

To find the roots of the expression,set the expression equal to 0

9x-24x+16=0

Subtract the terms

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Simplify

9x-24x

Collect like terms by calculating the sum or difference of their coefficients

\left(9-24\right)x

Subtract the numbers

-15x

-15x+16=0

Move the constant to the right-hand side and change its sign

-15x=0-16

Removing 0 doesn't change the value,so remove it from the expression

-15x=-16

\text{Multiply both sides of the equation by }-\frac{1}{15}

-15x\left(-\frac{1}{15}\right)=-16\left(-\frac{1}{15}\right)

Multiply the numbers

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Evaluate

-16\left(-\frac{1}{15}\right)

Multiplying or dividing an even number of negative terms equals a positive

16\times \frac{1}{15}

Multiply the numbers

\frac{16}{15}

-15x\left(-\frac{1}{15}\right)=\frac{16}{15}

Solution

x=\frac{16}{15}

Alternative Form

x=1.0\dot{6}

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