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Simplifying (2y3z5 + -3y4)(-8yz6) = 0 Remove parenthesis around (-8yz6) (2y3z5 + -3y4) * -8yz6 = 0 Reorder the terms for easier multiplication: -8yz6(2y3z5 + -3y4) = 0 (2y3z5 * -8yz6 + -3y4 * -8yz6) = 0 (-16y4z11 + 24y5z6) = 0 Solving -16y4z11 + 24y5z6 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '8y4z6'. 8y4z6(-2z5 + 3y) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'y4z6' equal to zero and attempt to solve: Simplifying y4z6 = 0 Solving y4z6 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y4z6 = 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 '(-2z5 + 3y)' equal to zero and attempt to solve: Simplifying -2z5 + 3y = 0 Reorder the terms: 3y + -2z5 = 0 Solving 3y + -2z5 = 0 Move all terms containing y to the left, all other terms to the right. Add '2z5' to each side of the equation. 3y + -2z5 + 2z5 = 0 + 2z5 Combine like terms: -2z5 + 2z5 = 0 3y + 0 = 0 + 2z5 3y = 0 + 2z5 Remove the zero: 3y = 2z5 Divide each side by '3'. y = 0.6666666667z5 Simplifying y = 0.6666666667z5Solution
y = {0.6666666667z5}
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