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Simplifying 2x(3) + 2x(2) + -60x = (2x(2) + 12x)(x + -5) Reorder the terms for easier multiplication: 2 * 3x + 2x(2) + -60x = (2x(2) + 12x)(x + -5) Multiply 2 * 3 6x + 2x(2) + -60x = (2x(2) + 12x)(x + -5) Reorder the terms for easier multiplication: 6x + 2 * 2x + -60x = (2x(2) + 12x)(x + -5) Multiply 2 * 2 6x + 4x + -60x = (2x(2) + 12x)(x + -5) Combine like terms: 6x + 4x = 10x 10x + -60x = (2x(2) + 12x)(x + -5) Combine like terms: 10x + -60x = -50x -50x = (2x(2) + 12x)(x + -5) Reorder the terms for easier multiplication: -50x = (2 * 2x + 12x)(x + -5) Multiply 2 * 2 -50x = (4x + 12x)(x + -5) Combine like terms: 4x + 12x = 16x -50x = (16x)(x + -5) Remove parenthesis around (16x) -50x = 16x(x + -5) Reorder the terms: -50x = 16x(-5 + x) -50x = (-5 * 16x + x * 16x) -50x = (-80x + 16x2) Solving -50x = -80x + 16x2 Solving for variable 'x'. Combine like terms: -50x + 80x = 30x 30x + -16x2 = -80x + 16x2 + 80x + -16x2 Reorder the terms: 30x + -16x2 = -80x + 80x + 16x2 + -16x2 Combine like terms: -80x + 80x = 0 30x + -16x2 = 0 + 16x2 + -16x2 30x + -16x2 = 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 30x + -16x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(15 + -8x) = 0 Ignore the factor 2.Subproblem 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 '(15 + -8x)' equal to zero and attempt to solve: Simplifying 15 + -8x = 0 Solving 15 + -8x = 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 + -8x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -8x = 0 + -15 -8x = 0 + -15 Combine like terms: 0 + -15 = -15 -8x = -15 Divide each side by '-8'. x = 1.875 Simplifying x = 1.875Solution
x = {0, 1.875}
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