x(x+9)=x^2+15x+12

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Solution for x(x+9)=x^2+15x+12 equation: 


Simplifying
x(x + 9) = x2 + 15x + 12

Reorder the terms:
x(9 + x) = x2 + 15x + 12
(9 * x + x * x) = x2 + 15x + 12
(9x + x2) = x2 + 15x + 12

Reorder the terms:
9x + x2 = 12 + 15x + x2

Add '-1x2' to each side of the equation.
9x + x2 + -1x2 = 12 + 15x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9x + 0 = 12 + 15x + x2 + -1x2
9x = 12 + 15x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9x = 12 + 15x + 0
9x = 12 + 15x

Solving
9x = 12 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
9x + -15x = 12 + 15x + -15x

Combine like terms: 9x + -15x = -6x
-6x = 12 + 15x + -15x

Combine like terms: 15x + -15x = 0
-6x = 12 + 0
-6x = 12

Divide each side by '-6'.
x = -2

Simplifying
x = -2

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