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Simplifying 6x2 + 8x + 12xy = 0 Reorder the terms: 8x + 12xy + 6x2 = 0 Solving 8x + 12xy + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(4 + 6y + 3x) = 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 '(4 + 6y + 3x)' equal to zero and attempt to solve: Simplifying 4 + 6y + 3x = 0 Reorder the terms: 4 + 3x + 6y = 0 Solving 4 + 3x + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 3x + -4 + 6y = 0 + -4 Reorder the terms: 4 + -4 + 3x + 6y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x + 6y = 0 + -4 3x + 6y = 0 + -4 Combine like terms: 0 + -4 = -4 3x + 6y = -4 Add '-6y' to each side of the equation. 3x + 6y + -6y = -4 + -6y Combine like terms: 6y + -6y = 0 3x + 0 = -4 + -6y 3x = -4 + -6y Divide each side by '3'. x = -1.333333333 + -2y Simplifying x = -1.333333333 + -2ySolution
x = {0, -1.333333333 + -2y}
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