28z^2-39z+5=0

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Solution for 28z^2-39z+5=0 equation:


Simplifying
28z2 + -39z + 5 = 0

Reorder the terms:
5 + -39z + 28z2 = 0

Solving
5 + -39z + 28z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(1 + -7z)(5 + -4z) = 0

Subproblem 1

Set the factor '(1 + -7z)' equal to zero and attempt to solve: Simplifying 1 + -7z = 0 Solving 1 + -7z = 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 + -7z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7z = 0 + -1 -7z = 0 + -1 Combine like terms: 0 + -1 = -1 -7z = -1 Divide each side by '-7'. z = 0.1428571429 Simplifying z = 0.1428571429

Subproblem 2

Set the factor '(5 + -4z)' equal to zero and attempt to solve: Simplifying 5 + -4z = 0 Solving 5 + -4z = 0 Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4z = 0 + -5 -4z = 0 + -5 Combine like terms: 0 + -5 = -5 -4z = -5 Divide each side by '-4'. z = 1.25 Simplifying z = 1.25

Solution

z = {0.1428571429, 1.25}

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