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Simplifying 5z2 + -42z = 27 Reorder the terms: -42z + 5z2 = 27 Solving -42z + 5z2 = 27 Solving for variable 'z'. Reorder the terms: -27 + -42z + 5z2 = 27 + -27 Combine like terms: 27 + -27 = 0 -27 + -42z + 5z2 = 0 Factor a trinomial. (-3 + -5z)(9 + -1z) = 0Subproblem 1
Set the factor '(-3 + -5z)' equal to zero and attempt to solve: Simplifying -3 + -5z = 0 Solving -3 + -5z = 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 + -5z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5z = 0 + 3 -5z = 0 + 3 Combine like terms: 0 + 3 = 3 -5z = 3 Divide each side by '-5'. z = -0.6 Simplifying z = -0.6Subproblem 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 = {-0.6, 9}
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