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Simplifying 30 = x(x + 13) Reorder the terms: 30 = x(13 + x) 30 = (13 * x + x * x) 30 = (13x + x2) Solving 30 = 13x + x2 Solving for variable 'x'. Reorder the terms: 30 + -13x + -1x2 = 13x + -13x + x2 + -1x2 Combine like terms: 13x + -13x = 0 30 + -13x + -1x2 = 0 + x2 + -1x2 30 + -13x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 30 + -13x + -1x2 = 0 Factor a trinomial. (2 + -1x)(15 + x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(15 + x)' equal to zero and attempt to solve: Simplifying 15 + x = 0 Solving 15 + x = 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 + x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + x = 0 + -15 x = 0 + -15 Combine like terms: 0 + -15 = -15 x = -15 Simplifying x = -15Solution
x = {2, -15}
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