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Simplifying 8x2y4 + -6x3y2 + 12x2y2 = 0 Reorder the terms: 12x2y2 + 8x2y4 + -6x3y2 = 0 Solving 12x2y2 + 8x2y4 + -6x3y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2y2'. 2x2y2(6 + 4y2 + -3x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x2y2' equal to zero and attempt to solve: Simplifying x2y2 = 0 Solving x2y2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(6 + 4y2 + -3x)' equal to zero and attempt to solve: Simplifying 6 + 4y2 + -3x = 0 Reorder the terms: 6 + -3x + 4y2 = 0 Solving 6 + -3x + 4y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -3x + -6 + 4y2 = 0 + -6 Reorder the terms: 6 + -6 + -3x + 4y2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -3x + 4y2 = 0 + -6 -3x + 4y2 = 0 + -6 Combine like terms: 0 + -6 = -6 -3x + 4y2 = -6 Add '-4y2' to each side of the equation. -3x + 4y2 + -4y2 = -6 + -4y2 Combine like terms: 4y2 + -4y2 = 0 -3x + 0 = -6 + -4y2 -3x = -6 + -4y2 Divide each side by '-3'. x = 2 + 1.333333333y2 Simplifying x = 2 + 1.333333333y2Solution
x = {2 + 1.333333333y2}
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