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Simplifying (6 + -1x)(5x + 8) = 0 Reorder the terms: (6 + -1x)(8 + 5x) = 0 Multiply (6 + -1x) * (8 + 5x) (6(8 + 5x) + -1x * (8 + 5x)) = 0 ((8 * 6 + 5x * 6) + -1x * (8 + 5x)) = 0 ((48 + 30x) + -1x * (8 + 5x)) = 0 (48 + 30x + (8 * -1x + 5x * -1x)) = 0 (48 + 30x + (-8x + -5x2)) = 0 Combine like terms: 30x + -8x = 22x (48 + 22x + -5x2) = 0 Solving 48 + 22x + -5x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + -1x)(8 + 5x) = 0Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 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 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
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 = -1.6Solution
x = {6, -1.6}
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