x^2+24x+36=36x+81

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Solution for x^2+24x+36=36x+81 equation: 


Simplifying
x2 + 24x + 36 = 36x + 81

Reorder the terms:
36 + 24x + x2 = 36x + 81

Reorder the terms:
36 + 24x + x2 = 81 + 36x

Solving
36 + 24x + x2 = 81 + 36x

Solving for variable 'x'.

Reorder the terms:
36 + -81 + 24x + -36x + x2 = 81 + 36x + -81 + -36x

Combine like terms: 36 + -81 = -45
-45 + 24x + -36x + x2 = 81 + 36x + -81 + -36x

Combine like terms: 24x + -36x = -12x
-45 + -12x + x2 = 81 + 36x + -81 + -36x

Reorder the terms:
-45 + -12x + x2 = 81 + -81 + 36x + -36x

Combine like terms: 81 + -81 = 0
-45 + -12x + x2 = 0 + 36x + -36x
-45 + -12x + x2 = 36x + -36x

Combine like terms: 36x + -36x = 0
-45 + -12x + x2 = 0

Factor a trinomial.
(-3 + -1x)(15 + -1x) = 0


Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {-3, 15}

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