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Simplifying 7x(x + -4) + -2x(8x + -4x + 3) = 0 Reorder the terms: 7x(-4 + x) + -2x(8x + -4x + 3) = 0 (-4 * 7x + x * 7x) + -2x(8x + -4x + 3) = 0 (-28x + 7x2) + -2x(8x + -4x + 3) = 0 Reorder the terms: -28x + 7x2 + -2x(3 + 8x + -4x) = 0 Combine like terms: 8x + -4x = 4x -28x + 7x2 + -2x(3 + 4x) = 0 -28x + 7x2 + (3 * -2x + 4x * -2x) = 0 -28x + 7x2 + (-6x + -8x2) = 0 Reorder the terms: -28x + -6x + 7x2 + -8x2 = 0 Combine like terms: -28x + -6x = -34x -34x + 7x2 + -8x2 = 0 Combine like terms: 7x2 + -8x2 = -1x2 -34x + -1x2 = 0 Solving -34x + -1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x'. -1x(34 + 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 '(34 + x)' equal to zero and attempt to solve: Simplifying 34 + x = 0 Solving 34 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + x = 0 + -34 Combine like terms: 34 + -34 = 0 0 + x = 0 + -34 x = 0 + -34 Combine like terms: 0 + -34 = -34 x = -34 Simplifying x = -34Solution
x = {0, -34}
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