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Simplifying (x + 4)(x + -15) + -6x = 0 Reorder the terms: (4 + x)(x + -15) + -6x = 0 Reorder the terms: (4 + x)(-15 + x) + -6x = 0 Multiply (4 + x) * (-15 + x) (4(-15 + x) + x(-15 + x)) + -6x = 0 ((-15 * 4 + x * 4) + x(-15 + x)) + -6x = 0 ((-60 + 4x) + x(-15 + x)) + -6x = 0 (-60 + 4x + (-15 * x + x * x)) + -6x = 0 (-60 + 4x + (-15x + x2)) + -6x = 0 Combine like terms: 4x + -15x = -11x (-60 + -11x + x2) + -6x = 0 Reorder the terms: -60 + -11x + -6x + x2 = 0 Combine like terms: -11x + -6x = -17x -60 + -17x + x2 = 0 Solving -60 + -17x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -1x)(20 + -1x) = 0Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 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 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Solution
x = {-3, 20}
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