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Simplifying (x + 5)(5x + -7) = 0 Reorder the terms: (5 + x)(5x + -7) = 0 Reorder the terms: (5 + x)(-7 + 5x) = 0 Multiply (5 + x) * (-7 + 5x) (5(-7 + 5x) + x(-7 + 5x)) = 0 ((-7 * 5 + 5x * 5) + x(-7 + 5x)) = 0 ((-35 + 25x) + x(-7 + 5x)) = 0 (-35 + 25x + (-7 * x + 5x * x)) = 0 (-35 + 25x + (-7x + 5x2)) = 0 Combine like terms: 25x + -7x = 18x (-35 + 18x + 5x2) = 0 Solving -35 + 18x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -1x)(7 + -5x) = 0Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5Subproblem 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 = {-5, 1.4}
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