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Simplifying 6xy(3x2 + -4y2) = 0 (3x2 * 6xy + -4y2 * 6xy) = 0 Reorder the terms: (-24xy3 + 18x3y) = 0 (-24xy3 + 18x3y) = 0 Solving -24xy3 + 18x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6xy'. 6xy(-4y2 + 3x2) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 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 '(-4y2 + 3x2)' equal to zero and attempt to solve: Simplifying -4y2 + 3x2 = 0 Reorder the terms: 3x2 + -4y2 = 0 Solving 3x2 + -4y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '4y2' to each side of the equation. 3x2 + -4y2 + 4y2 = 0 + 4y2 Combine like terms: -4y2 + 4y2 = 0 3x2 + 0 = 0 + 4y2 3x2 = 0 + 4y2 Remove the zero: 3x2 = 4y2 Divide each side by '3'. x2 = 1.333333333y2 Simplifying x2 = 1.333333333y2 Take the square root of each side: x = {-1.154700538y, 1.154700538y}Solution
x = {-1.154700538y, 1.154700538y}
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