21z^2-85z-26=0

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Solution for 21z^2-85z-26=0 equation:


Simplifying
21z2 + -85z + -26 = 0

Reorder the terms:
-26 + -85z + 21z2 = 0

Solving
-26 + -85z + 21z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-2 + -7z)(13 + -3z) = 0

Subproblem 1

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 = -0.2857142857

Subproblem 2

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 = 4.333333333

Solution

z = {-0.2857142857, 4.333333333}

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