0=x^2+2x-288

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Solution for 0=x^2+2x-288 equation: 


Simplifying
0 = x2 + 2x + -288

Reorder the terms:
0 = -288 + 2x + x2

Solving
0 = -288 + 2x + x2

Solving for variable 'x'.

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

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

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