x^2+18x+81=2x^2-18x+81

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Solution for x^2+18x+81=2x^2-18x+81 equation: 


Simplifying
x2 + 18x + 81 = 2x2 + -18x + 81

Reorder the terms:
81 + 18x + x2 = 2x2 + -18x + 81

Reorder the terms:
81 + 18x + x2 = 81 + -18x + 2x2

Add '-81' to each side of the equation.
81 + 18x + -81 + x2 = 81 + -18x + -81 + 2x2

Reorder the terms:
81 + -81 + 18x + x2 = 81 + -18x + -81 + 2x2

Combine like terms: 81 + -81 = 0
0 + 18x + x2 = 81 + -18x + -81 + 2x2
18x + x2 = 81 + -18x + -81 + 2x2

Reorder the terms:
18x + x2 = 81 + -81 + -18x + 2x2

Combine like terms: 81 + -81 = 0
18x + x2 = 0 + -18x + 2x2
18x + x2 = -18x + 2x2

Solving
18x + x2 = -18x + 2x2

Solving for variable 'x'.

Reorder the terms:
18x + 18x + x2 + -2x2 = -18x + 2x2 + 18x + -2x2

Combine like terms: 18x + 18x = 36x
36x + x2 + -2x2 = -18x + 2x2 + 18x + -2x2

Combine like terms: x2 + -2x2 = -1x2
36x + -1x2 = -18x + 2x2 + 18x + -2x2

Reorder the terms:
36x + -1x2 = -18x + 18x + 2x2 + -2x2

Combine like terms: -18x + 18x = 0
36x + -1x2 = 0 + 2x2 + -2x2
36x + -1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
36x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(36 + -1x) = 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 '(36 + -1x)' equal to zero and attempt to solve:

Simplifying
36 + -1x = 0

Solving
36 + -1x = 0

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

Add '-36' to each side of the equation.
36 + -36 + -1x = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -1x = 0 + -36
-1x = 0 + -36

Combine like terms: 0 + -36 = -36
-1x = -36

Divide each side by '-1'.
x = 36

Simplifying
x = 36
Solution
x = {0, 36}

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