x(2x+2)=9x

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Solution for x(2x+2)=9x equation: 


Simplifying
x(2x + 2) = 9x

Reorder the terms:
x(2 + 2x) = 9x
(2 * x + 2x * x) = 9x
(2x + 2x2) = 9x

Solving
2x + 2x2 = 9x

Solving for variable 'x'.

Reorder the terms:
2x + -9x + 2x2 = 9x + -9x

Combine like terms: 2x + -9x = -7x
-7x + 2x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
-7x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-7 + 2x) = 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 '(-7 + 2x)' equal to zero and attempt to solve:

Simplifying
-7 + 2x = 0

Solving
-7 + 2x = 0

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

Add '7' to each side of the equation.
-7 + 7 + 2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = 0 + 7
2x = 0 + 7

Combine like terms: 0 + 7 = 7
2x = 7

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {0, 3.5}

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