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Simplifying (x + -8)(5x + -6) = 0 Reorder the terms: (-8 + x)(5x + -6) = 0 Reorder the terms: (-8 + x)(-6 + 5x) = 0 Multiply (-8 + x) * (-6 + 5x) (-8(-6 + 5x) + x(-6 + 5x)) = 0 ((-6 * -8 + 5x * -8) + x(-6 + 5x)) = 0 ((48 + -40x) + x(-6 + 5x)) = 0 (48 + -40x + (-6 * x + 5x * x)) = 0 (48 + -40x + (-6x + 5x2)) = 0 Combine like terms: -40x + -6x = -46x (48 + -46x + 5x2) = 0 Solving 48 + -46x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + -5x)(8 + -1x) = 0Subproblem 1
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 = 1.2Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 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 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {1.2, 8}
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