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Simplifying (2x + -3)(5 + -1x) + -1x(5 + -1x) = -15 Reorder the terms: (-3 + 2x)(5 + -1x) + -1x(5 + -1x) = -15 Multiply (-3 + 2x) * (5 + -1x) (-3(5 + -1x) + 2x * (5 + -1x)) + -1x(5 + -1x) = -15 ((5 * -3 + -1x * -3) + 2x * (5 + -1x)) + -1x(5 + -1x) = -15 ((-15 + 3x) + 2x * (5 + -1x)) + -1x(5 + -1x) = -15 (-15 + 3x + (5 * 2x + -1x * 2x)) + -1x(5 + -1x) = -15 (-15 + 3x + (10x + -2x2)) + -1x(5 + -1x) = -15 Combine like terms: 3x + 10x = 13x (-15 + 13x + -2x2) + -1x(5 + -1x) = -15 -15 + 13x + -2x2 + (5 * -1x + -1x * -1x) = -15 -15 + 13x + -2x2 + (-5x + 1x2) = -15 Reorder the terms: -15 + 13x + -5x + -2x2 + 1x2 = -15 Combine like terms: 13x + -5x = 8x -15 + 8x + -2x2 + 1x2 = -15 Combine like terms: -2x2 + 1x2 = -1x2 -15 + 8x + -1x2 = -15 Add '15' to each side of the equation. -15 + 8x + 15 + -1x2 = -15 + 15 Reorder the terms: -15 + 15 + 8x + -1x2 = -15 + 15 Combine like terms: -15 + 15 = 0 0 + 8x + -1x2 = -15 + 15 8x + -1x2 = -15 + 15 Combine like terms: -15 + 15 = 0 8x + -1x2 = 0 Solving 8x + -1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(8 + -1x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {0, 8}
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