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Simplifying -4z(z + -9)(z + 1) = 0 Reorder the terms: -4z(-9 + z)(z + 1) = 0 Reorder the terms: -4z(-9 + z)(1 + z) = 0 Multiply (-9 + z) * (1 + z) -4z(-9(1 + z) + z(1 + z)) = 0 -4z((1 * -9 + z * -9) + z(1 + z)) = 0 -4z((-9 + -9z) + z(1 + z)) = 0 -4z(-9 + -9z + (1 * z + z * z)) = 0 -4z(-9 + -9z + (1z + z2)) = 0 Combine like terms: -9z + 1z = -8z -4z(-9 + -8z + z2) = 0 (-9 * -4z + -8z * -4z + z2 * -4z) = 0 (36z + 32z2 + -4z3) = 0 Solving 36z + 32z2 + -4z3 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '4z'. 4z(9 + 8z + -1z2) = 0 Factor a trinomial. 4z((9 + -1z)(1 + z)) = 0 Ignore the factor 4.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 '(9 + -1z)' equal to zero and attempt to solve: Simplifying 9 + -1z = 0 Solving 9 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1z = 0 + -9 -1z = 0 + -9 Combine like terms: 0 + -9 = -9 -1z = -9 Divide each side by '-1'. z = 9 Simplifying z = 9Subproblem 3
Set the factor '(1 + z)' equal to zero and attempt to solve: Simplifying 1 + z = 0 Solving 1 + z = 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 + z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + z = 0 + -1 z = 0 + -1 Combine like terms: 0 + -1 = -1 z = -1 Simplifying z = -1Solution
z = {0, 9, -1}
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