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