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Simplifying 8x(4x + 10) = 16x Reorder the terms: 8x(10 + 4x) = 16x (10 * 8x + 4x * 8x) = 16x (80x + 32x2) = 16x Solving 80x + 32x2 = 16x Solving for variable 'x'. Reorder the terms: 80x + -16x + 32x2 = 16x + -16x Combine like terms: 80x + -16x = 64x 64x + 32x2 = 16x + -16x Combine like terms: 16x + -16x = 0 64x + 32x2 = 0 Factor out the Greatest Common Factor (GCF), '32x'. 32x(2 + x) = 0 Ignore the factor 32.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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {0, -2}
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