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Simplifying 8z2 + -55z = 7 Reorder the terms: -55z + 8z2 = 7 Solving -55z + 8z2 = 7 Solving for variable 'z'. Reorder the terms: -7 + -55z + 8z2 = 7 + -7 Combine like terms: 7 + -7 = 0 -7 + -55z + 8z2 = 0 Factor a trinomial. (-1 + -8z)(7 + -1z) = 0Subproblem 1
Set the factor '(-1 + -8z)' equal to zero and attempt to solve: Simplifying -1 + -8z = 0 Solving -1 + -8z = 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 + -8z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -8z = 0 + 1 -8z = 0 + 1 Combine like terms: 0 + 1 = 1 -8z = 1 Divide each side by '-8'. z = -0.125 Simplifying z = -0.125Subproblem 2
Set the factor '(7 + -1z)' equal to zero and attempt to solve: Simplifying 7 + -1z = 0 Solving 7 + -1z = 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 + -1z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1z = 0 + -7 -1z = 0 + -7 Combine like terms: 0 + -7 = -7 -1z = -7 Divide each side by '-1'. z = 7 Simplifying z = 7Solution
z = {-0.125, 7}
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