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Simplifying -1[3z2 + 7z + -1(2z2 + -4z)] = 0 Reorder the terms: -1[3z2 + 7z + -1(-4z + 2z2)] = 0 -1[3z2 + 7z + (-4z * -1 + 2z2 * -1)] = 0 -1[3z2 + 7z + (4z + -2z2)] = 0 Reorder the terms: -1[7z + 4z + 3z2 + -2z2] = 0 Combine like terms: 7z + 4z = 11z -1[11z + 3z2 + -2z2] = 0 Combine like terms: 3z2 + -2z2 = 1z2 -1[11z + 1z2] = 0 [11z * -1 + 1z2 * -1] = 0 [-11z + -1z2] = 0 Solving -11z + -1z2 = 0 Solving for variable 'z'. 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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