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Simplifying (5 + -1x)(3x + 8) = 0 Reorder the terms: (5 + -1x)(8 + 3x) = 0 Multiply (5 + -1x) * (8 + 3x) (5(8 + 3x) + -1x * (8 + 3x)) = 0 ((8 * 5 + 3x * 5) + -1x * (8 + 3x)) = 0 ((40 + 15x) + -1x * (8 + 3x)) = 0 (40 + 15x + (8 * -1x + 3x * -1x)) = 0 (40 + 15x + (-8x + -3x2)) = 0 Combine like terms: 15x + -8x = 7x (40 + 7x + -3x2) = 0 Solving 40 + 7x + -3x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -1x)(8 + 3x) = 0Subproblem 1
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 = 5Subproblem 2
Set the factor '(8 + 3x)' equal to zero and attempt to solve: Simplifying 8 + 3x = 0 Solving 8 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 0 + -8 3x = 0 + -8 Combine like terms: 0 + -8 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667Solution
x = {5, -2.666666667}
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