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