(2x+6)x=360

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Solution for (2x+6)x=360 equation:


Simplifying
(2x + 6) * x = 360

Reorder the terms:
(6 + 2x) * x = 360

Reorder the terms for easier multiplication:
x(6 + 2x) = 360
(6 * x + 2x * x) = 360
(6x + 2x2) = 360

Solving
6x + 2x2 = 360

Solving for variable 'x'.

Reorder the terms:
-360 + 6x + 2x2 = 360 + -360

Combine like terms: 360 + -360 = 0
-360 + 6x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-180 + 3x + x2) = 0

Factor a trinomial.
2((-15 + -1x)(12 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-15 + -1x)' equal to zero and attempt to solve: Simplifying -15 + -1x = 0 Solving -15 + -1x = 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 + -1x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = 0 + 15 -1x = 0 + 15 Combine like terms: 0 + 15 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15

Subproblem 2

Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12

Solution

x = {-15, 12}

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