x(x-7)=9x

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Solution for x(x-7)=9x equation: 


Simplifying
x(x + -7) = 9x

Reorder the terms:
x(-7 + x) = 9x
(-7 * x + x * x) = 9x
(-7x + x2) = 9x

Solving
-7x + x2 = 9x

Solving for variable 'x'.

Reorder the terms:
-7x + -9x + x2 = 9x + -9x

Combine like terms: -7x + -9x = -16x
-16x + x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
-16x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-16 + x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(-16 + x)' equal to zero and attempt to solve:

Simplifying
-16 + x = 0

Solving
-16 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '16' to each side of the equation.
-16 + 16 + x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + x = 0 + 16
x = 0 + 16

Combine like terms: 0 + 16 = 16
x = 16

Simplifying
x = 16
Solution
x = {0, 16}

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