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Simplifying 4x(x + -4) + -5x(x + -3) = 0 Reorder the terms: 4x(-4 + x) + -5x(x + -3) = 0 (-4 * 4x + x * 4x) + -5x(x + -3) = 0 (-16x + 4x2) + -5x(x + -3) = 0 Reorder the terms: -16x + 4x2 + -5x(-3 + x) = 0 -16x + 4x2 + (-3 * -5x + x * -5x) = 0 -16x + 4x2 + (15x + -5x2) = 0 Reorder the terms: -16x + 15x + 4x2 + -5x2 = 0 Combine like terms: -16x + 15x = -1x -1x + 4x2 + -5x2 = 0 Combine like terms: 4x2 + -5x2 = -1x2 -1x + -1x2 = 0 Solving -1x + -1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x'. -1x(1 + x) = 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 '(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 = {0, -1}
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