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Simplifying (5z + 8)(9 + -1z) = 0 Reorder the terms: (8 + 5z)(9 + -1z) = 0 Multiply (8 + 5z) * (9 + -1z) (8(9 + -1z) + 5z * (9 + -1z)) = 0 ((9 * 8 + -1z * 8) + 5z * (9 + -1z)) = 0 ((72 + -8z) + 5z * (9 + -1z)) = 0 (72 + -8z + (9 * 5z + -1z * 5z)) = 0 (72 + -8z + (45z + -5z2)) = 0 Combine like terms: -8z + 45z = 37z (72 + 37z + -5z2) = 0 Solving 72 + 37z + -5z2 = 0 Solving for variable 'z'. Factor a trinomial. (9 + -1z)(8 + 5z) = 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 + 5z)' equal to zero and attempt to solve: Simplifying 8 + 5z = 0 Solving 8 + 5z = 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 + 5z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5z = 0 + -8 5z = 0 + -8 Combine like terms: 0 + -8 = -8 5z = -8 Divide each side by '5'. z = -1.6 Simplifying z = -1.6Solution
z = {9, -1.6}
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