360=(2x)(x+3)

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Solution for 360=(2x)(x+3) equation:


Simplifying
360 = (2x)(x + 3)

Remove parenthesis around (2x)
360 = 2x(x + 3)

Reorder the terms:
360 = 2x(3 + x)
360 = (3 * 2x + x * 2x)
360 = (6x + 2x2)

Solving
360 = 6x + 2x2

Solving for variable 'x'.

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

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

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

Factor out the Greatest Common Factor (GCF), '2'.
2(180 + -3x + -1x2) = 0

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

Ignore the factor 2.

Subproblem 1

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

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 = {12, -15}

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