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Simplifying (2y6z3 + -4y2)(9yz4) = 0 Reorder the terms: (-4y2 + 2y6z3)(9yz4) = 0 Remove parenthesis around (9yz4) (-4y2 + 2y6z3) * 9yz4 = 0 Reorder the terms for easier multiplication: 9yz4(-4y2 + 2y6z3) = 0 (-4y2 * 9yz4 + 2y6z3 * 9yz4) = 0 (-36y3z4 + 18y7z7) = 0 Solving -36y3z4 + 18y7z7 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '18y3z4'. 18y3z4(-2 + y4z3) = 0 Ignore the factor 18.Subproblem 1
Set the factor 'y3z4' equal to zero and attempt to solve: Simplifying y3z4 = 0 Solving y3z4 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y3z4 = 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 + y4z3)' equal to zero and attempt to solve: Simplifying -2 + y4z3 = 0 Solving -2 + y4z3 = 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 + y4z3 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + y4z3 = 0 + 2 y4z3 = 0 + 2 Combine like terms: 0 + 2 = 2 y4z3 = 2 Divide each side by 'z3'. y4 = 2z-3 Simplifying y4 = 2z-3 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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