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Simplifying (x + -1)(x + 6) + -4(3x + -4) = 0 Reorder the terms: (-1 + x)(x + 6) + -4(3x + -4) = 0 Reorder the terms: (-1 + x)(6 + x) + -4(3x + -4) = 0 Multiply (-1 + x) * (6 + x) (-1(6 + x) + x(6 + x)) + -4(3x + -4) = 0 ((6 * -1 + x * -1) + x(6 + x)) + -4(3x + -4) = 0 ((-6 + -1x) + x(6 + x)) + -4(3x + -4) = 0 (-6 + -1x + (6 * x + x * x)) + -4(3x + -4) = 0 (-6 + -1x + (6x + x2)) + -4(3x + -4) = 0 Combine like terms: -1x + 6x = 5x (-6 + 5x + x2) + -4(3x + -4) = 0 Reorder the terms: -6 + 5x + x2 + -4(-4 + 3x) = 0 -6 + 5x + x2 + (-4 * -4 + 3x * -4) = 0 -6 + 5x + x2 + (16 + -12x) = 0 Reorder the terms: -6 + 16 + 5x + -12x + x2 = 0 Combine like terms: -6 + 16 = 10 10 + 5x + -12x + x2 = 0 Combine like terms: 5x + -12x = -7x 10 + -7x + x2 = 0 Solving 10 + -7x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -1x)(5 + -1x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {2, 5}
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