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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. (18 + -1x)(3 + x) = 0Subproblem 1
Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 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 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {18, -3}
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