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Simplifying x2 = 18x + -45 Reorder the terms: x2 = -45 + 18x Solving x2 = -45 + 18x Solving for variable 'x'. Reorder the terms: 45 + -18x + x2 = -45 + 18x + 45 + -18x Reorder the terms: 45 + -18x + x2 = -45 + 45 + 18x + -18x Combine like terms: -45 + 45 = 0 45 + -18x + x2 = 0 + 18x + -18x 45 + -18x + x2 = 18x + -18x Combine like terms: 18x + -18x = 0 45 + -18x + x2 = 0 Factor a trinomial. (3 + -1x)(15 + -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 '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {3, 15}
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