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Simplifying 3z2 + 16 = 2z2 + -8z Reorder the terms: 16 + 3z2 = 2z2 + -8z Reorder the terms: 16 + 3z2 = -8z + 2z2 Solving 16 + 3z2 = -8z + 2z2 Solving for variable 'z'. Reorder the terms: 16 + 8z + 3z2 + -2z2 = -8z + 2z2 + 8z + -2z2 Combine like terms: 3z2 + -2z2 = 1z2 16 + 8z + 1z2 = -8z + 2z2 + 8z + -2z2 Reorder the terms: 16 + 8z + 1z2 = -8z + 8z + 2z2 + -2z2 Combine like terms: -8z + 8z = 0 16 + 8z + 1z2 = 0 + 2z2 + -2z2 16 + 8z + 1z2 = 2z2 + -2z2 Combine like terms: 2z2 + -2z2 = 0 16 + 8z + 1z2 = 0 Factor a trinomial. (4 + z)(4 + z) = 0Subproblem 1
Set the factor '(4 + z)' equal to zero and attempt to solve: Simplifying 4 + z = 0 Solving 4 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + z = 0 + -4 z = 0 + -4 Combine like terms: 0 + -4 = -4 z = -4 Simplifying z = -4Subproblem 2
Set the factor '(4 + z)' equal to zero and attempt to solve: Simplifying 4 + z = 0 Solving 4 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + z = 0 + -4 z = 0 + -4 Combine like terms: 0 + -4 = -4 z = -4 Simplifying z = -4Solution
z = {-4, -4}
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