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Simplifying -2z2 + -4z = -1z2 + 7z Reorder the terms: -4z + -2z2 = -1z2 + 7z Reorder the terms: -4z + -2z2 = 7z + -1z2 Solving -4z + -2z2 = 7z + -1z2 Solving for variable 'z'. Reorder the terms: -4z + -7z + -2z2 + z2 = 7z + -1z2 + -7z + z2 Combine like terms: -4z + -7z = -11z -11z + -2z2 + z2 = 7z + -1z2 + -7z + z2 Combine like terms: -2z2 + z2 = -1z2 -11z + -1z2 = 7z + -1z2 + -7z + z2 Reorder the terms: -11z + -1z2 = 7z + -7z + -1z2 + z2 Combine like terms: 7z + -7z = 0 -11z + -1z2 = 0 + -1z2 + z2 -11z + -1z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 -11z + -1z2 = 0 Factor out the Greatest Common Factor (GCF), '-1z'. -1z(11 + z) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z = 0Subproblem 2
Set the factor '(11 + z)' equal to zero and attempt to solve: Simplifying 11 + z = 0 Solving 11 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + z = 0 + -11 Combine like terms: 11 + -11 = 0 0 + z = 0 + -11 z = 0 + -11 Combine like terms: 0 + -11 = -11 z = -11 Simplifying z = -11Solution
z = {0, -11}
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