288=(x)(x+2)

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Solution for 288=(x)(x+2) equation:


Simplifying
288 = (x)(x + 2)

Reorder the terms:
288 = x(2 + x)
288 = (2 * x + x * x)
288 = (2x + x2)

Solving
288 = 2x + x2

Solving for variable 'x'.

Reorder the terms:
288 + -2x + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
288 + -2x + -1x2 = 0 + x2 + -1x2
288 + -2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
288 + -2x + -1x2 = 0

Factor a trinomial.
(16 + -1x)(18 + x) = 0

Subproblem 1

Set the factor '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16

Subproblem 2

Set the factor '(18 + x)' equal to zero and attempt to solve: Simplifying 18 + x = 0 Solving 18 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + x = 0 + -18 x = 0 + -18 Combine like terms: 0 + -18 = -18 x = -18 Simplifying x = -18

Solution

x = {16, -18}

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