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Simplifying (2Z + -8)(3z + 6) = 0 Reorder the terms: (-8 + 2Z)(3z + 6) = 0 Reorder the terms: (-8 + 2Z)(6 + 3z) = 0 Multiply (-8 + 2Z) * (6 + 3z) (-8(6 + 3z) + 2Z * (6 + 3z)) = 0 ((6 * -8 + 3z * -8) + 2Z * (6 + 3z)) = 0 ((-48 + -24z) + 2Z * (6 + 3z)) = 0 (-48 + -24z + (6 * 2Z + 3z * 2Z)) = 0 (-48 + -24z + (12Z + 6zZ)) = 0 Reorder the terms: (-48 + 12Z + -24z + 6zZ) = 0 (-48 + 12Z + -24z + 6zZ) = 0 Solving -48 + 12Z + -24z + 6zZ = 0 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 12Z + -24z + 48 + 6zZ = 0 + 48 Reorder the terms: -48 + 48 + 12Z + -24z + 6zZ = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 12Z + -24z + 6zZ = 0 + 48 12Z + -24z + 6zZ = 0 + 48 Combine like terms: 0 + 48 = 48 12Z + -24z + 6zZ = 48 Add '24z' to each side of the equation. 12Z + -24z + 24z + 6zZ = 48 + 24z Combine like terms: -24z + 24z = 0 12Z + 0 + 6zZ = 48 + 24z 12Z + 6zZ = 48 + 24z Reorder the terms: -48 + 12Z + -24z + 6zZ = 48 + 24z + -48 + -24z Reorder the terms: -48 + 12Z + -24z + 6zZ = 48 + -48 + 24z + -24z Combine like terms: 48 + -48 = 0 -48 + 12Z + -24z + 6zZ = 0 + 24z + -24z -48 + 12Z + -24z + 6zZ = 24z + -24z Combine like terms: 24z + -24z = 0 -48 + 12Z + -24z + 6zZ = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-8 + 2Z + -4z + zZ) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-8 + 2Z + -4z + zZ)' equal to zero and attempt to solve: Simplifying -8 + 2Z + -4z + zZ = 0 Solving -8 + 2Z + -4z + zZ = 0 Move all terms containing Z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 2Z + -4z + 8 + zZ = 0 + 8 Reorder the terms: -8 + 8 + 2Z + -4z + zZ = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 2Z + -4z + zZ = 0 + 8 2Z + -4z + zZ = 0 + 8 Combine like terms: 0 + 8 = 8 2Z + -4z + zZ = 8 Add '4z' to each side of the equation. 2Z + -4z + 4z + zZ = 8 + 4z Combine like terms: -4z + 4z = 0 2Z + 0 + zZ = 8 + 4z 2Z + zZ = 8 + 4z 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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