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Simplifying 36z2 + -19z + -7 = 0 Reorder the terms: -7 + -19z + 36z2 = 0 Solving -7 + -19z + 36z2 = 0 Solving for variable 'z'. Factor a trinomial. (-1 + -4z)(7 + -9z) = 0Subproblem 1
Set the factor '(-1 + -4z)' equal to zero and attempt to solve: Simplifying -1 + -4z = 0 Solving -1 + -4z = 0 Move all terms containing z to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -4z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4z = 0 + 1 -4z = 0 + 1 Combine like terms: 0 + 1 = 1 -4z = 1 Divide each side by '-4'. z = -0.25 Simplifying z = -0.25Subproblem 2
Set the factor '(7 + -9z)' equal to zero and attempt to solve: Simplifying 7 + -9z = 0 Solving 7 + -9z = 0 Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -9z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9z = 0 + -7 -9z = 0 + -7 Combine like terms: 0 + -7 = -7 -9z = -7 Divide each side by '-9'. z = 0.7777777778 Simplifying z = 0.7777777778Solution
z = {-0.25, 0.7777777778}
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