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Simplifying (5z + -9)(z + -3) = 0 Reorder the terms: (-9 + 5z)(z + -3) = 0 Reorder the terms: (-9 + 5z)(-3 + z) = 0 Multiply (-9 + 5z) * (-3 + z) (-9(-3 + z) + 5z * (-3 + z)) = 0 ((-3 * -9 + z * -9) + 5z * (-3 + z)) = 0 ((27 + -9z) + 5z * (-3 + z)) = 0 (27 + -9z + (-3 * 5z + z * 5z)) = 0 (27 + -9z + (-15z + 5z2)) = 0 Combine like terms: -9z + -15z = -24z (27 + -24z + 5z2) = 0 Solving 27 + -24z + 5z2 = 0 Solving for variable 'z'. Factor a trinomial. (9 + -5z)(3 + -1z) = 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 '(3 + -1z)' equal to zero and attempt to solve: Simplifying 3 + -1z = 0 Solving 3 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1z = 0 + -3 -1z = 0 + -3 Combine like terms: 0 + -3 = -3 -1z = -3 Divide each side by '-1'. z = 3 Simplifying z = 3Solution
z = {1.8, 3}
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