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Simplifying 6y + -4(4z + -5y) * 6z = 0 Reorder the terms: 6y + -4(-5y + 4z) * 6z = 0 Reorder the terms for easier multiplication: 6y + -4 * 6z(-5y + 4z) = 0 Multiply -4 * 6 6y + -24z(-5y + 4z) = 0 6y + (-5y * -24z + 4z * -24z) = 0 6y + (120yz + -96z2) = 0 Solving 6y + 120yz + -96z2 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '96z2' to each side of the equation. 6y + 120yz + -96z2 + 96z2 = 0 + 96z2 Combine like terms: -96z2 + 96z2 = 0 6y + 120yz + 0 = 0 + 96z2 6y + 120yz = 0 + 96z2 Remove the zero: 6y + 120yz = 96z2 Combine like terms: 96z2 + -96z2 = 0 6y + 120yz + -96z2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(y + 20yz + -16z2) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(y + 20yz + -16z2)' equal to zero and attempt to solve: Simplifying y + 20yz + -16z2 = 0 Solving y + 20yz + -16z2 = 0 Move all terms containing y to the left, all other terms to the right. Add '16z2' to each side of the equation. y + 20yz + -16z2 + 16z2 = 0 + 16z2 Combine like terms: -16z2 + 16z2 = 0 y + 20yz + 0 = 0 + 16z2 y + 20yz = 0 + 16z2 Remove the zero: y + 20yz = 16z2 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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