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Simplifying (5z + -6)(9 + -1z) = 0 Reorder the terms: (-6 + 5z)(9 + -1z) = 0 Multiply (-6 + 5z) * (9 + -1z) (-6(9 + -1z) + 5z * (9 + -1z)) = 0 ((9 * -6 + -1z * -6) + 5z * (9 + -1z)) = 0 ((-54 + 6z) + 5z * (9 + -1z)) = 0 (-54 + 6z + (9 * 5z + -1z * 5z)) = 0 (-54 + 6z + (45z + -5z2)) = 0 Combine like terms: 6z + 45z = 51z (-54 + 51z + -5z2) = 0 Solving -54 + 51z + -5z2 = 0 Solving for variable 'z'. Factor a trinomial. (-9 + z)(6 + -5z) = 0Subproblem 1
Set the factor '(-9 + z)' equal to zero and attempt to solve: Simplifying -9 + z = 0 Solving -9 + z = 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 + z = 0 + 9 Combine like terms: -9 + 9 = 0 0 + z = 0 + 9 z = 0 + 9 Combine like terms: 0 + 9 = 9 z = 9 Simplifying z = 9Subproblem 2
Set the factor '(6 + -5z)' equal to zero and attempt to solve: Simplifying 6 + -5z = 0 Solving 6 + -5z = 0 Move all terms containing z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5z = 0 + -6 -5z = 0 + -6 Combine like terms: 0 + -6 = -6 -5z = -6 Divide each side by '-5'. z = 1.2 Simplifying z = 1.2Solution
z = {9, 1.2}
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