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Simplifying 6x(x + 4) = x + -15 Reorder the terms: 6x(4 + x) = x + -15 (4 * 6x + x * 6x) = x + -15 (24x + 6x2) = x + -15 Reorder the terms: 24x + 6x2 = -15 + x Solving 24x + 6x2 = -15 + x Solving for variable 'x'. Reorder the terms: 15 + 24x + -1x + 6x2 = -15 + x + 15 + -1x Combine like terms: 24x + -1x = 23x 15 + 23x + 6x2 = -15 + x + 15 + -1x Reorder the terms: 15 + 23x + 6x2 = -15 + 15 + x + -1x Combine like terms: -15 + 15 = 0 15 + 23x + 6x2 = 0 + x + -1x 15 + 23x + 6x2 = x + -1x Combine like terms: x + -1x = 0 15 + 23x + 6x2 = 0 Factor a trinomial. (3 + x)(5 + 6x) = 0Subproblem 1
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 = -3Subproblem 2
Set the factor '(5 + 6x)' equal to zero and attempt to solve: Simplifying 5 + 6x = 0 Solving 5 + 6x = 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 + 6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 0 + -5 6x = 0 + -5 Combine like terms: 0 + -5 = -5 6x = -5 Divide each side by '6'. x = -0.8333333333 Simplifying x = -0.8333333333Solution
x = {-3, -0.8333333333}
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