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Simplifying (3y4z3 + -5y6)(-4yz5) = 0 Remove parenthesis around (-4yz5) (3y4z3 + -5y6) * -4yz5 = 0 Reorder the terms for easier multiplication: -4yz5(3y4z3 + -5y6) = 0 (3y4z3 * -4yz5 + -5y6 * -4yz5) = 0 (-12y5z8 + 20y7z5) = 0 Solving -12y5z8 + 20y7z5 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4y5z5'. 4y5z5(-3z3 + 5y2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'y5z5' equal to zero and attempt to solve: Simplifying y5z5 = 0 Solving y5z5 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y5z5 = 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 '(-3z3 + 5y2)' equal to zero and attempt to solve: Simplifying -3z3 + 5y2 = 0 Reorder the terms: 5y2 + -3z3 = 0 Solving 5y2 + -3z3 = 0 Move all terms containing y to the left, all other terms to the right. Add '3z3' to each side of the equation. 5y2 + -3z3 + 3z3 = 0 + 3z3 Combine like terms: -3z3 + 3z3 = 0 5y2 + 0 = 0 + 3z3 5y2 = 0 + 3z3 Remove the zero: 5y2 = 3z3 Divide each side by '5'. y2 = 0.6z3 Simplifying y2 = 0.6z3 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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