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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. (-7 + -5x)(6 + -1x) = 0Subproblem 1
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 = -1.4Subproblem 2
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 = 6Solution
x = {-1.4, 6}
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