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Simplifying -1[3z2 + 5z + -1(2z2 + -5z)] = 0 Reorder the terms: -1[3z2 + 5z + -1(-5z + 2z2)] = 0 -1[3z2 + 5z + (-5z * -1 + 2z2 * -1)] = 0 -1[3z2 + 5z + (5z + -2z2)] = 0 Reorder the terms: -1[5z + 5z + 3z2 + -2z2] = 0 Combine like terms: 5z + 5z = 10z -1[10z + 3z2 + -2z2] = 0 Combine like terms: 3z2 + -2z2 = 1z2 -1[10z + 1z2] = 0 [10z * -1 + 1z2 * -1] = 0 [-10z + -1z2] = 0 Solving -10z + -1z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '-1z'. -1z(10 + 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 '(10 + z)' equal to zero and attempt to solve: Simplifying 10 + z = 0 Solving 10 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + z = 0 + -10 z = 0 + -10 Combine like terms: 0 + -10 = -10 z = -10 Simplifying z = -10Solution
z = {0, -10}
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