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Simplifying 15 + -1x = 2x(x + 3) Reorder the terms: 15 + -1x = 2x(3 + x) 15 + -1x = (3 * 2x + x * 2x) 15 + -1x = (6x + 2x2) Solving 15 + -1x = 6x + 2x2 Solving for variable 'x'. Combine like terms: -1x + -6x = -7x 15 + -7x + -2x2 = 6x + 2x2 + -6x + -2x2 Reorder the terms: 15 + -7x + -2x2 = 6x + -6x + 2x2 + -2x2 Combine like terms: 6x + -6x = 0 15 + -7x + -2x2 = 0 + 2x2 + -2x2 15 + -7x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 15 + -7x + -2x2 = 0 Factor a trinomial. (3 + -2x)(5 + x) = 0Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {1.5, -5}
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