3x^2-36x=-108

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Solution for 3x^2-36x=-108 equation:


Simplifying
3x2 + -36x = -108

Reorder the terms:
-36x + 3x2 = -108

Solving
-36x + 3x2 = -108

Solving for variable 'x'.

Reorder the terms:
108 + -36x + 3x2 = -108 + 108

Combine like terms: -108 + 108 = 0
108 + -36x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(36 + -12x + x2) = 0

Factor a trinomial.
3((6 + -1x)(6 + -1x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6

Subproblem 2

Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6

Solution

x = {6, 6}

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