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Simplifying (5x + -7)(x + 6) = 0 Reorder the terms: (-7 + 5x)(x + 6) = 0 Reorder the terms: (-7 + 5x)(6 + x) = 0 Multiply (-7 + 5x) * (6 + x) (-7(6 + x) + 5x * (6 + x)) = 0 ((6 * -7 + x * -7) + 5x * (6 + x)) = 0 ((-42 + -7x) + 5x * (6 + x)) = 0 (-42 + -7x + (6 * 5x + x * 5x)) = 0 (-42 + -7x + (30x + 5x2)) = 0 Combine like terms: -7x + 30x = 23x (-42 + 23x + 5x2) = 0 Solving -42 + 23x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + -1x)(7 + -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 '(7 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4Solution
x = {-6, 1.4}
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