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Simplifying 4x(x + -16y + 3) = 0 Reorder the terms: 4x(3 + x + -16y) = 0 (3 * 4x + x * 4x + -16y * 4x) = 0 Reorder the terms: (12x + -64xy + 4x2) = 0 (12x + -64xy + 4x2) = 0 Solving 12x + -64xy + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(3 + -16y + x) = 0 Ignore the factor 4.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 '(3 + -16y + x)' equal to zero and attempt to solve: Simplifying 3 + -16y + x = 0 Reorder the terms: 3 + x + -16y = 0 Solving 3 + x + -16y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + x + -3 + -16y = 0 + -3 Reorder the terms: 3 + -3 + x + -16y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x + -16y = 0 + -3 x + -16y = 0 + -3 Combine like terms: 0 + -3 = -3 x + -16y = -3 Add '16y' to each side of the equation. x + -16y + 16y = -3 + 16y Combine like terms: -16y + 16y = 0 x + 0 = -3 + 16y x = -3 + 16y Simplifying x = -3 + 16ySolution
x = {0, -3 + 16y}
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