6x^2-60x=-96

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Solution for 6x^2-60x=-96 equation:


Simplifying
6x2 + -60x = -96

Reorder the terms:
-60x + 6x2 = -96

Solving
-60x + 6x2 = -96

Solving for variable 'x'.

Reorder the terms:
96 + -60x + 6x2 = -96 + 96

Combine like terms: -96 + 96 = 0
96 + -60x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(16 + -10x + x2) = 0

Factor a trinomial.
6((2 + -1x)(8 + -1x)) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Subproblem 2

Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8

Solution

x = {2, 8}

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