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Simplifying 5xy2(3x2 + -2y3) = 0 (3x2 * 5xy2 + -2y3 * 5xy2) = 0 Reorder the terms: (-10xy5 + 15x3y2) = 0 (-10xy5 + 15x3y2) = 0 Solving -10xy5 + 15x3y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5xy2'. 5xy2(-2y3 + 3x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve: Simplifying xy2 = 0 Solving xy2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy2 = 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 '(-2y3 + 3x2)' equal to zero and attempt to solve: Simplifying -2y3 + 3x2 = 0 Reorder the terms: 3x2 + -2y3 = 0 Solving 3x2 + -2y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '2y3' to each side of the equation. 3x2 + -2y3 + 2y3 = 0 + 2y3 Combine like terms: -2y3 + 2y3 = 0 3x2 + 0 = 0 + 2y3 3x2 = 0 + 2y3 Remove the zero: 3x2 = 2y3 Divide each side by '3'. x2 = 0.6666666667y3 Simplifying x2 = 0.6666666667y3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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