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Simplifying 4x(x + -8) + -5x(x + -7) = -4 Reorder the terms: 4x(-8 + x) + -5x(x + -7) = -4 (-8 * 4x + x * 4x) + -5x(x + -7) = -4 (-32x + 4x2) + -5x(x + -7) = -4 Reorder the terms: -32x + 4x2 + -5x(-7 + x) = -4 -32x + 4x2 + (-7 * -5x + x * -5x) = -4 -32x + 4x2 + (35x + -5x2) = -4 Reorder the terms: -32x + 35x + 4x2 + -5x2 = -4 Combine like terms: -32x + 35x = 3x 3x + 4x2 + -5x2 = -4 Combine like terms: 4x2 + -5x2 = -1x2 3x + -1x2 = -4 Solving 3x + -1x2 = -4 Solving for variable 'x'. Reorder the terms: 4 + 3x + -1x2 = -4 + 4 Combine like terms: -4 + 4 = 0 4 + 3x + -1x2 = 0 Factor a trinomial. (4 + -1x)(1 + x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {4, -1}
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