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Simplifying (8x + 7)(x + -5) = 0 Reorder the terms: (7 + 8x)(x + -5) = 0 Reorder the terms: (7 + 8x)(-5 + x) = 0 Multiply (7 + 8x) * (-5 + x) (7(-5 + x) + 8x * (-5 + x)) = 0 ((-5 * 7 + x * 7) + 8x * (-5 + x)) = 0 ((-35 + 7x) + 8x * (-5 + x)) = 0 (-35 + 7x + (-5 * 8x + x * 8x)) = 0 (-35 + 7x + (-40x + 8x2)) = 0 Combine like terms: 7x + -40x = -33x (-35 + -33x + 8x2) = 0 Solving -35 + -33x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -8x)(5 + -1x) = 0Subproblem 1
Set the factor '(-7 + -8x)' equal to zero and attempt to solve: Simplifying -7 + -8x = 0 Solving -7 + -8x = 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 + -8x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = 0 + 7 -8x = 0 + 7 Combine like terms: 0 + 7 = 7 -8x = 7 Divide each side by '-8'. x = -0.875 Simplifying x = -0.875Subproblem 2
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 = 5Solution
x = {-0.875, 5}
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