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Simplifying 2y(4yz) = 256 Remove parenthesis around (4yz) 2y * 4yz = 256 Reorder the terms for easier multiplication: 2 * 4y * yz = 256 Multiply 2 * 4 8y * yz = 256 Multiply y * yz 8y2z = 256 Solving 8y2z = 256 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '8z'. y2 = 32z-1 Simplifying y2 = 32z-1 Combine like terms: 32z-1 + -32z-1 = 0 y2 + -32z-1 = 0 Factor out the Greatest Common Factor (GCF), 'z-1'. z-1(y2z + -32) = 0Subproblem 1
Set the factor 'z-1' equal to zero and attempt to solve: Simplifying z-1 = 0 Solving z-1 = 0 Move all terms containing y to the left, all other terms to the right. Add '-1z-1' to each side of the equation. z-1 + -1z-1 = 0 + -1z-1 Remove the zero: 0 = -1z-1 Simplifying 0 = -1z-1 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 '(y2z + -32)' equal to zero and attempt to solve: Simplifying y2z + -32 = 0 Reorder the terms: -32 + y2z = 0 Solving -32 + y2z = 0 Move all terms containing y to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + y2z = 0 + 32 Combine like terms: -32 + 32 = 0 0 + y2z = 0 + 32 y2z = 0 + 32 Combine like terms: 0 + 32 = 32 y2z = 32 Divide each side by 'z'. y2 = 32z-1 Simplifying y2 = 32z-1 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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