225=144-24x+x^2+81+18x+x^2

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Solution for 225=144-24x+x^2+81+18x+x^2 equation: 


Simplifying
225 = 144 + -24x + x2 + 81 + 18x + x2

Reorder the terms:
225 = 144 + 81 + -24x + 18x + x2 + x2

Combine like terms: 144 + 81 = 225
225 = 225 + -24x + 18x + x2 + x2

Combine like terms: -24x + 18x = -6x
225 = 225 + -6x + x2 + x2

Combine like terms: x2 + x2 = 2x2
225 = 225 + -6x + 2x2

Add '-225' to each side of the equation.
225 + -225 = 225 + -6x + -225 + 2x2

Combine like terms: 225 + -225 = 0
0 = 225 + -6x + -225 + 2x2

Reorder the terms:
0 = 225 + -225 + -6x + 2x2

Combine like terms: 225 + -225 = 0
0 = 0 + -6x + 2x2
0 = -6x + 2x2

Solving
0 = -6x + 2x2

Solving for variable 'x'.
Remove the zero:
6x + -2x2 = -6x + 2x2 + 6x + -2x2

Reorder the terms:
6x + -2x2 = -6x + 6x + 2x2 + -2x2

Combine like terms: -6x + 6x = 0
6x + -2x2 = 0 + 2x2 + -2x2
6x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
6x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(3 + -1x) = 0

Ignore the factor 2.

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 '(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
Solution
x = {0, 3}

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