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Simplifying (5x + -2)(x + -4) = -31x + 26 Reorder the terms: (-2 + 5x)(x + -4) = -31x + 26 Reorder the terms: (-2 + 5x)(-4 + x) = -31x + 26 Multiply (-2 + 5x) * (-4 + x) (-2(-4 + x) + 5x * (-4 + x)) = -31x + 26 ((-4 * -2 + x * -2) + 5x * (-4 + x)) = -31x + 26 ((8 + -2x) + 5x * (-4 + x)) = -31x + 26 (8 + -2x + (-4 * 5x + x * 5x)) = -31x + 26 (8 + -2x + (-20x + 5x2)) = -31x + 26 Combine like terms: -2x + -20x = -22x (8 + -22x + 5x2) = -31x + 26 Reorder the terms: 8 + -22x + 5x2 = 26 + -31x Solving 8 + -22x + 5x2 = 26 + -31x Solving for variable 'x'. Reorder the terms: 8 + -26 + -22x + 31x + 5x2 = 26 + -31x + -26 + 31x Combine like terms: 8 + -26 = -18 -18 + -22x + 31x + 5x2 = 26 + -31x + -26 + 31x Combine like terms: -22x + 31x = 9x -18 + 9x + 5x2 = 26 + -31x + -26 + 31x Reorder the terms: -18 + 9x + 5x2 = 26 + -26 + -31x + 31x Combine like terms: 26 + -26 = 0 -18 + 9x + 5x2 = 0 + -31x + 31x -18 + 9x + 5x2 = -31x + 31x Combine like terms: -31x + 31x = 0 -18 + 9x + 5x2 = 0 Factor a trinomial. (-3 + -1x)(6 + -5x) = 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 '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Solution
x = {-3, 1.2}
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