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Simplifying 4y + -4(-2z + 6y) * 2z = 0 Reorder the terms: 4y + -4(6y + -2z) * 2z = 0 Reorder the terms for easier multiplication: 4y + -4 * 2z(6y + -2z) = 0 Multiply -4 * 2 4y + -8z(6y + -2z) = 0 4y + (6y * -8z + -2z * -8z) = 0 4y + (-48yz + 16z2) = 0 Solving 4y + -48yz + 16z2 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16z2' to each side of the equation. 4y + -48yz + 16z2 + -16z2 = 0 + -16z2 Combine like terms: 16z2 + -16z2 = 0 4y + -48yz + 0 = 0 + -16z2 4y + -48yz = 0 + -16z2 Remove the zero: 4y + -48yz = -16z2 Combine like terms: -16z2 + 16z2 = 0 4y + -48yz + 16z2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(y + -12yz + 4z2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(y + -12yz + 4z2)' equal to zero and attempt to solve: Simplifying y + -12yz + 4z2 = 0 Solving y + -12yz + 4z2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-4z2' to each side of the equation. y + -12yz + 4z2 + -4z2 = 0 + -4z2 Combine like terms: 4z2 + -4z2 = 0 y + -12yz + 0 = 0 + -4z2 y + -12yz = 0 + -4z2 Remove the zero: y + -12yz = -4z2 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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