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Simplifying (3x + -5)(x + -6) = -30x + 26 Reorder the terms: (-5 + 3x)(x + -6) = -30x + 26 Reorder the terms: (-5 + 3x)(-6 + x) = -30x + 26 Multiply (-5 + 3x) * (-6 + x) (-5(-6 + x) + 3x * (-6 + x)) = -30x + 26 ((-6 * -5 + x * -5) + 3x * (-6 + x)) = -30x + 26 ((30 + -5x) + 3x * (-6 + x)) = -30x + 26 (30 + -5x + (-6 * 3x + x * 3x)) = -30x + 26 (30 + -5x + (-18x + 3x2)) = -30x + 26 Combine like terms: -5x + -18x = -23x (30 + -23x + 3x2) = -30x + 26 Reorder the terms: 30 + -23x + 3x2 = 26 + -30x Solving 30 + -23x + 3x2 = 26 + -30x Solving for variable 'x'. Reorder the terms: 30 + -26 + -23x + 30x + 3x2 = 26 + -30x + -26 + 30x Combine like terms: 30 + -26 = 4 4 + -23x + 30x + 3x2 = 26 + -30x + -26 + 30x Combine like terms: -23x + 30x = 7x 4 + 7x + 3x2 = 26 + -30x + -26 + 30x Reorder the terms: 4 + 7x + 3x2 = 26 + -26 + -30x + 30x Combine like terms: 26 + -26 = 0 4 + 7x + 3x2 = 0 + -30x + 30x 4 + 7x + 3x2 = -30x + 30x Combine like terms: -30x + 30x = 0 4 + 7x + 3x2 = 0 Factor a trinomial. (4 + 3x)(1 + x) = 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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-1.333333333, -1}
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