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Simplifying 2x * 2(-2 + 6xy) = 0 Reorder the terms for easier multiplication: 2 * 2x(-2 + 6xy) = 0 Multiply 2 * 2 4x(-2 + 6xy) = 0 (-2 * 4x + 6xy * 4x) = 0 (-8x + 24x2y) = 0 Solving -8x + 24x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8x'. 8x(-1 + 3xy) = 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 '(-1 + 3xy)' equal to zero and attempt to solve: Simplifying -1 + 3xy = 0 Solving -1 + 3xy = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3xy = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3xy = 0 + 1 3xy = 0 + 1 Combine like terms: 0 + 1 = 1 3xy = 1 Divide each side by '3y'. x = 0.3333333333y-1 Simplifying x = 0.3333333333y-1Solution
x = {0, 0.3333333333y-1}
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