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Simplifying 3x + -2x(4x + -1y) = 0 3x + (4x * -2x + -1y * -2x) = 0 Reorder the terms: 3x + (2xy + -8x2) = 0 3x + (2xy + -8x2) = 0 Solving 3x + 2xy + -8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(3 + 2y + -8x) = 0Subproblem 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 + 2y + -8x)' equal to zero and attempt to solve: Simplifying 3 + 2y + -8x = 0 Reorder the terms: 3 + -8x + 2y = 0 Solving 3 + -8x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -8x + -3 + 2y = 0 + -3 Reorder the terms: 3 + -3 + -8x + 2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8x + 2y = 0 + -3 -8x + 2y = 0 + -3 Combine like terms: 0 + -3 = -3 -8x + 2y = -3 Add '-2y' to each side of the equation. -8x + 2y + -2y = -3 + -2y Combine like terms: 2y + -2y = 0 -8x + 0 = -3 + -2y -8x = -3 + -2y Divide each side by '-8'. x = 0.375 + 0.25y Simplifying x = 0.375 + 0.25ySolution
x = {0, 0.375 + 0.25y}
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