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Simplifying x2 = 15x + 54 Reorder the terms: x2 = 54 + 15x Solving x2 = 54 + 15x Solving for variable 'x'. Reorder the terms: -54 + -15x + x2 = 54 + 15x + -54 + -15x Reorder the terms: -54 + -15x + x2 = 54 + -54 + 15x + -15x Combine like terms: 54 + -54 = 0 -54 + -15x + x2 = 0 + 15x + -15x -54 + -15x + x2 = 15x + -15x Combine like terms: 15x + -15x = 0 -54 + -15x + x2 = 0 Factor a trinomial. (-3 + -1x)(18 + -1x) = 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 + -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 = 18Solution
x = {-3, 18}
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