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Simplifying (3x + -2)(x + -3) = 26 Reorder the terms: (-2 + 3x)(x + -3) = 26 Reorder the terms: (-2 + 3x)(-3 + x) = 26 Multiply (-2 + 3x) * (-3 + x) (-2(-3 + x) + 3x * (-3 + x)) = 26 ((-3 * -2 + x * -2) + 3x * (-3 + x)) = 26 ((6 + -2x) + 3x * (-3 + x)) = 26 (6 + -2x + (-3 * 3x + x * 3x)) = 26 (6 + -2x + (-9x + 3x2)) = 26 Combine like terms: -2x + -9x = -11x (6 + -11x + 3x2) = 26 Solving 6 + -11x + 3x2 = 26 Solving for variable 'x'. Reorder the terms: 6 + -26 + -11x + 3x2 = 26 + -26 Combine like terms: 6 + -26 = -20 -20 + -11x + 3x2 = 26 + -26 Combine like terms: 26 + -26 = 0 -20 + -11x + 3x2 = 0 Factor a trinomial. (-4 + -3x)(5 + -1x) = 0Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 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 = {-1.333333333, 5}
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