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Simplifying (z2 + -4z + 16)(3Z) = 192 Reorder the terms: (16 + -4z + z2)(3Z) = 192 Remove parenthesis around (3Z) (16 + -4z + z2) * 3Z = 192 Reorder the terms for easier multiplication: 3Z(16 + -4z + z2) = 192 (16 * 3Z + -4z * 3Z + z2 * 3Z) = 192 (48Z + -12zZ + 3z2Z) = 192 Solving 48Z + -12zZ + 3z2Z = 192 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Reorder the terms: -192 + 48Z + -12zZ + 3z2Z = 192 + -192 Combine like terms: 192 + -192 = 0 -192 + 48Z + -12zZ + 3z2Z = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-64 + 16Z + -4zZ + z2Z) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-64 + 16Z + -4zZ + z2Z)' equal to zero and attempt to solve: Simplifying -64 + 16Z + -4zZ + z2Z = 0 Solving -64 + 16Z + -4zZ + z2Z = 0 Move all terms containing Z to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 16Z + -4zZ + 64 + z2Z = 0 + 64 Reorder the terms: -64 + 64 + 16Z + -4zZ + z2Z = 0 + 64 Combine like terms: -64 + 64 = 0 0 + 16Z + -4zZ + z2Z = 0 + 64 16Z + -4zZ + z2Z = 0 + 64 Combine like terms: 0 + 64 = 64 16Z + -4zZ + z2Z = 64 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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