-6x^2+126x-216x=0

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Solution for -6x^2+126x-216x=0 equation: 


Simplifying
-6x2 + 126x + -216x = 0

Reorder the terms:
126x + -216x + -6x2 = 0

Combine like terms: 126x + -216x = -90x
-90x + -6x2 = 0

Solving
-90x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-6x'.
-6x(15 + x) = 0

Ignore the factor -6.

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 '(15 + x)' equal to zero and attempt to solve:

Simplifying
15 + x = 0

Solving
15 + x = 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 + x = 0 + -15

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

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

Simplifying
x = -15
Solution
x = {0, -15}

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