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Simplifying 0 = x2 + 15x + -54 Reorder the terms: 0 = -54 + 15x + x2 Solving 0 = -54 + 15x + x2 Solving for variable 'x'. Combine like terms: 0 + 54 = 54 54 + -15x + -1x2 = -54 + 15x + x2 + 54 + -15x + -1x2 Reorder the terms: 54 + -15x + -1x2 = -54 + 54 + 15x + -15x + x2 + -1x2 Combine like terms: -54 + 54 = 0 54 + -15x + -1x2 = 0 + 15x + -15x + x2 + -1x2 54 + -15x + -1x2 = 15x + -15x + x2 + -1x2 Combine like terms: 15x + -15x = 0 54 + -15x + -1x2 = 0 + x2 + -1x2 54 + -15x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 54 + -15x + -1x2 = 0 Factor a trinomial. (3 + -1x)(18 + x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 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 = -18Solution
x = {3, -18}
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