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Simplifying (3y2z5 + -5y3)(8yz6) = 0 Remove parenthesis around (8yz6) (3y2z5 + -5y3) * 8yz6 = 0 Reorder the terms for easier multiplication: 8yz6(3y2z5 + -5y3) = 0 (3y2z5 * 8yz6 + -5y3 * 8yz6) = 0 (24y3z11 + -40y4z6) = 0 Solving 24y3z11 + -40y4z6 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '8y3z6'. 8y3z6(3z5 + -5y) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'y3z6' equal to zero and attempt to solve: Simplifying y3z6 = 0 Solving y3z6 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y3z6 = 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 '(3z5 + -5y)' equal to zero and attempt to solve: Simplifying 3z5 + -5y = 0 Reorder the terms: -5y + 3z5 = 0 Solving -5y + 3z5 = 0 Move all terms containing y to the left, all other terms to the right. Add '-3z5' to each side of the equation. -5y + 3z5 + -3z5 = 0 + -3z5 Combine like terms: 3z5 + -3z5 = 0 -5y + 0 = 0 + -3z5 -5y = 0 + -3z5 Remove the zero: -5y = -3z5 Divide each side by '-5'. y = 0.6z5 Simplifying y = 0.6z5Solution
y = {0.6z5}
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