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Simplifying 5(2y + 2z) = 20yz (2y * 5 + 2z * 5) = 20yz (10y + 10z) = 20yz Solving 10y + 10z = 20yz Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20yz' to each side of the equation. 10y + -20yz + 10z = 20yz + -20yz Combine like terms: 20yz + -20yz = 0 10y + -20yz + 10z = 0 Add '-10z' to each side of the equation. 10y + -20yz + 10z + -10z = 0 + -10z Combine like terms: 10z + -10z = 0 10y + -20yz + 0 = 0 + -10z 10y + -20yz = 0 + -10z Remove the zero: 10y + -20yz = -10z Combine like terms: -10z + 10z = 0 10y + -20yz + 10z = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(y + -2yz + z) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(y + -2yz + z)' equal to zero and attempt to solve: Simplifying y + -2yz + z = 0 Solving y + -2yz + z = 0 Move all terms containing y to the left, all other terms to the right. Add '-1z' to each side of the equation. y + -2yz + z + -1z = 0 + -1z Combine like terms: z + -1z = 0 y + -2yz + 0 = 0 + -1z y + -2yz = 0 + -1z Remove the zero: y + -2yz = -1z 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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