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Simplifying 26z + 11z2 = 21 Solving 26z + 11z2 = 21 Solving for variable 'z'. Reorder the terms: -21 + 26z + 11z2 = 21 + -21 Combine like terms: 21 + -21 = 0 -21 + 26z + 11z2 = 0 Factor a trinomial. (-3 + -1z)(7 + -11z) = 0Subproblem 1
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 = -3Subproblem 2
Set the factor '(7 + -11z)' equal to zero and attempt to solve: Simplifying 7 + -11z = 0 Solving 7 + -11z = 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 + -11z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -11z = 0 + -7 -11z = 0 + -7 Combine like terms: 0 + -7 = -7 -11z = -7 Divide each side by '-11'. z = 0.6363636364 Simplifying z = 0.6363636364Solution
z = {-3, 0.6363636364}
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