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Simplifying 4(x + -1)(x + -15) = 0 Reorder the terms: 4(-1 + x)(x + -15) = 0 Reorder the terms: 4(-1 + x)(-15 + x) = 0 Multiply (-1 + x) * (-15 + x) 4(-1(-15 + x) + x(-15 + x)) = 0 4((-15 * -1 + x * -1) + x(-15 + x)) = 0 4((15 + -1x) + x(-15 + x)) = 0 4(15 + -1x + (-15 * x + x * x)) = 0 4(15 + -1x + (-15x + x2)) = 0 Combine like terms: -1x + -15x = -16x 4(15 + -16x + x2) = 0 (15 * 4 + -16x * 4 + x2 * 4) = 0 (60 + -64x + 4x2) = 0 Solving 60 + -64x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(15 + -16x + x2) = 0 Factor a trinomial. 4((1 + -1x)(15 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 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 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {1, 15}
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