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Simplifying (9 + 5z)(9 + 5z) = 0 Multiply (9 + 5z) * (9 + 5z) (9(9 + 5z) + 5z * (9 + 5z)) = 0 ((9 * 9 + 5z * 9) + 5z * (9 + 5z)) = 0 ((81 + 45z) + 5z * (9 + 5z)) = 0 (81 + 45z + (9 * 5z + 5z * 5z)) = 0 (81 + 45z + (45z + 25z2)) = 0 Combine like terms: 45z + 45z = 90z (81 + 90z + 25z2) = 0 Solving 81 + 90z + 25z2 = 0 Solving for variable 'z'. Factor a trinomial. (9 + 5z)(9 + 5z) = 0Subproblem 1
Set the factor '(9 + 5z)' equal to zero and attempt to solve: Simplifying 9 + 5z = 0 Solving 9 + 5z = 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 + 5z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5z = 0 + -9 5z = 0 + -9 Combine like terms: 0 + -9 = -9 5z = -9 Divide each side by '5'. z = -1.8 Simplifying z = -1.8Subproblem 2
Set the factor '(9 + 5z)' equal to zero and attempt to solve: Simplifying 9 + 5z = 0 Solving 9 + 5z = 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 + 5z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5z = 0 + -9 5z = 0 + -9 Combine like terms: 0 + -9 = -9 5z = -9 Divide each side by '5'. z = -1.8 Simplifying z = -1.8Solution
z = {-1.8, -1.8}
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