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Simplifying -4(z + 5)(-1z + -9) = 0 Reorder the terms: -4(5 + z)(-1z + -9) = 0 Reorder the terms: -4(5 + z)(-9 + -1z) = 0 Multiply (5 + z) * (-9 + -1z) -4(5(-9 + -1z) + z(-9 + -1z)) = 0 -4((-9 * 5 + -1z * 5) + z(-9 + -1z)) = 0 -4((-45 + -5z) + z(-9 + -1z)) = 0 -4(-45 + -5z + (-9 * z + -1z * z)) = 0 -4(-45 + -5z + (-9z + -1z2)) = 0 Combine like terms: -5z + -9z = -14z -4(-45 + -14z + -1z2) = 0 (-45 * -4 + -14z * -4 + -1z2 * -4) = 0 (180 + 56z + 4z2) = 0 Solving 180 + 56z + 4z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '4'. 4(45 + 14z + z2) = 0 Factor a trinomial. 4((9 + z)(5 + z)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(9 + z)' equal to zero and attempt to solve: Simplifying 9 + z = 0 Solving 9 + z = 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 + z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + z = 0 + -9 z = 0 + -9 Combine like terms: 0 + -9 = -9 z = -9 Simplifying z = -9Subproblem 2
Set the factor '(5 + z)' equal to zero and attempt to solve: Simplifying 5 + z = 0 Solving 5 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + z = 0 + -5 z = 0 + -5 Combine like terms: 0 + -5 = -5 z = -5 Simplifying z = -5Solution
z = {-9, -5}
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