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Simplifying 21z2 + 85z + -26 = 0 Reorder the terms: -26 + 85z + 21z2 = 0 Solving -26 + 85z + 21z2 = 0 Solving for variable 'z'. Factor a trinomial. (-13 + -3z)(2 + -7z) = 0Subproblem 1
Set the factor '(-13 + -3z)' equal to zero and attempt to solve: Simplifying -13 + -3z = 0 Solving -13 + -3z = 0 Move all terms containing z to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -3z = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -3z = 0 + 13 -3z = 0 + 13 Combine like terms: 0 + 13 = 13 -3z = 13 Divide each side by '-3'. z = -4.333333333 Simplifying z = -4.333333333Subproblem 2
Set the factor '(2 + -7z)' equal to zero and attempt to solve: Simplifying 2 + -7z = 0 Solving 2 + -7z = 0 Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7z = 0 + -2 -7z = 0 + -2 Combine like terms: 0 + -2 = -2 -7z = -2 Divide each side by '-7'. z = 0.2857142857 Simplifying z = 0.2857142857Solution
z = {-4.333333333, 0.2857142857}
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