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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 = -17z (72 + -17z + z2) = 0 Solving 72 + -17z + z2 = 0 Solving for variable 'z'. Factor a trinomial. (8 + -1z)(9 + -1z) = 0Subproblem 1
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 = 8Subproblem 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 = 9Solution
z = {8, 9}
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