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Simplifying (5x + -2)(-1x + -8) = 16 Reorder the terms: (-2 + 5x)(-1x + -8) = 16 Reorder the terms: (-2 + 5x)(-8 + -1x) = 16 Multiply (-2 + 5x) * (-8 + -1x) (-2(-8 + -1x) + 5x * (-8 + -1x)) = 16 ((-8 * -2 + -1x * -2) + 5x * (-8 + -1x)) = 16 ((16 + 2x) + 5x * (-8 + -1x)) = 16 (16 + 2x + (-8 * 5x + -1x * 5x)) = 16 (16 + 2x + (-40x + -5x2)) = 16 Combine like terms: 2x + -40x = -38x (16 + -38x + -5x2) = 16 Add '-16' to each side of the equation. 16 + -38x + -16 + -5x2 = 16 + -16 Reorder the terms: 16 + -16 + -38x + -5x2 = 16 + -16 Combine like terms: 16 + -16 = 0 0 + -38x + -5x2 = 16 + -16 -38x + -5x2 = 16 + -16 Combine like terms: 16 + -16 = 0 -38x + -5x2 = 0 Solving -38x + -5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x'. -1x(38 + 5x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(38 + 5x)' equal to zero and attempt to solve: Simplifying 38 + 5x = 0 Solving 38 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 5x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 5x = 0 + -38 5x = 0 + -38 Combine like terms: 0 + -38 = -38 5x = -38 Divide each side by '5'. x = -7.6 Simplifying x = -7.6Solution
x = {0, -7.6}
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