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Simplifying (9y6z4 + -2y5)(-3y2z) = 0 Reorder the terms: (-2y5 + 9y6z4)(-3y2z) = 0 Remove parenthesis around (-3y2z) (-2y5 + 9y6z4) * -3y2z = 0 Reorder the terms for easier multiplication: -3y2z(-2y5 + 9y6z4) = 0 (-2y5 * -3y2z + 9y6z4 * -3y2z) = 0 (6y7z + -27y8z5) = 0 Solving 6y7z + -27y8z5 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3y7z'. 3y7z(2 + -9yz4) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'y7z' equal to zero and attempt to solve: Simplifying y7z = 0 Solving y7z = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y7z = 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 '(2 + -9yz4)' equal to zero and attempt to solve: Simplifying 2 + -9yz4 = 0 Solving 2 + -9yz4 = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -9yz4 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9yz4 = 0 + -2 -9yz4 = 0 + -2 Combine like terms: 0 + -2 = -2 -9yz4 = -2 Divide each side by '-9z4'. y = 0.2222222222z-4 Simplifying y = 0.2222222222z-4Solution
y = {0.2222222222z-4}
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