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Simplifying 4x + -2x(2x + y + -4) = 0 Reorder the terms: 4x + -2x(-4 + 2x + y) = 0 4x + (-4 * -2x + 2x * -2x + y * -2x) = 0 Reorder the terms: 4x + (8x + -2xy + -4x2) = 0 4x + (8x + -2xy + -4x2) = 0 Combine like terms: 4x + 8x = 12x 12x + -2xy + -4x2 = 0 Solving 12x + -2xy + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(6 + -1y + -2x) = 0 Ignore the factor 2.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 '(6 + -1y + -2x)' equal to zero and attempt to solve: Simplifying 6 + -1y + -2x = 0 Reorder the terms: 6 + -2x + -1y = 0 Solving 6 + -2x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -2x + -6 + -1y = 0 + -6 Reorder the terms: 6 + -6 + -2x + -1y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -2x + -1y = 0 + -6 -2x + -1y = 0 + -6 Combine like terms: 0 + -6 = -6 -2x + -1y = -6 Add 'y' to each side of the equation. -2x + -1y + y = -6 + y Combine like terms: -1y + y = 0 -2x + 0 = -6 + y -2x = -6 + y Divide each side by '-2'. x = 3 + -0.5y Simplifying x = 3 + -0.5ySolution
x = {0, 3 + -0.5y}
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