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Simplifying (x + 8)(4x + -7) = 0 Reorder the terms: (8 + x)(4x + -7) = 0 Reorder the terms: (8 + x)(-7 + 4x) = 0 Multiply (8 + x) * (-7 + 4x) (8(-7 + 4x) + x(-7 + 4x)) = 0 ((-7 * 8 + 4x * 8) + x(-7 + 4x)) = 0 ((-56 + 32x) + x(-7 + 4x)) = 0 (-56 + 32x + (-7 * x + 4x * x)) = 0 (-56 + 32x + (-7x + 4x2)) = 0 Combine like terms: 32x + -7x = 25x (-56 + 25x + 4x2) = 0 Solving -56 + 25x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -1x)(7 + -4x) = 0Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 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 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8Subproblem 2
Set the factor '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 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 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75Solution
x = {-8, 1.75}
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