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Simplifying (z + 9)(z + -8) = 0 Reorder the terms: (9 + z)(z + -8) = 0 Reorder the terms: (9 + z)(-8 + z) = 0 Multiply (9 + z) * (-8 + z) (9(-8 + z) + z(-8 + z)) = 0 ((-8 * 9 + z * 9) + z(-8 + z)) = 0 ((-72 + 9z) + z(-8 + z)) = 0 (-72 + 9z + (-8 * z + z * z)) = 0 (-72 + 9z + (-8z + z2)) = 0 Combine like terms: 9z + -8z = 1z (-72 + 1z + z2) = 0 Solving -72 + 1z + z2 = 0 Solving for variable 'z'. Factor a trinomial. (-9 + -1z)(8 + -1z) = 0Subproblem 1
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 2
Set the factor '(8 + -1z)' equal to zero and attempt to solve: Simplifying 8 + -1z = 0 Solving 8 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1z = 0 + -8 -1z = 0 + -8 Combine like terms: 0 + -8 = -8 -1z = -8 Divide each side by '-1'. z = 8 Simplifying z = 8Solution
z = {-9, 8}
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