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Simplifying (3 + -1x)(8 + -5x) = 0 Multiply (3 + -1x) * (8 + -5x) (3(8 + -5x) + -1x * (8 + -5x)) = 0 ((8 * 3 + -5x * 3) + -1x * (8 + -5x)) = 0 ((24 + -15x) + -1x * (8 + -5x)) = 0 (24 + -15x + (8 * -1x + -5x * -1x)) = 0 (24 + -15x + (-8x + 5x2)) = 0 Combine like terms: -15x + -8x = -23x (24 + -23x + 5x2) = 0 Solving 24 + -23x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + -5x)(3 + -1x) = 0Subproblem 1
Set the factor '(8 + -5x)' equal to zero and attempt to solve: Simplifying 8 + -5x = 0 Solving 8 + -5x = 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 + -5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 0 + -8 -5x = 0 + -8 Combine like terms: 0 + -8 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6Subproblem 2
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 = 3Solution
x = {1.6, 3}
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