21z^2-44z+15=0

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Solution for 21z^2-44z+15=0 equation:


Simplifying
21z2 + -44z + 15 = 0

Reorder the terms:
15 + -44z + 21z2 = 0

Solving
15 + -44z + 21z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(3 + -7z)(5 + -3z) = 0

Subproblem 1

Set the factor '(3 + -7z)' equal to zero and attempt to solve: Simplifying 3 + -7z = 0 Solving 3 + -7z = 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 + -7z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7z = 0 + -3 -7z = 0 + -3 Combine like terms: 0 + -3 = -3 -7z = -3 Divide each side by '-7'. z = 0.4285714286 Simplifying z = 0.4285714286

Subproblem 2

Set the factor '(5 + -3z)' equal to zero and attempt to solve: Simplifying 5 + -3z = 0 Solving 5 + -3z = 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 + -3z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3z = 0 + -5 -3z = 0 + -5 Combine like terms: 0 + -5 = -5 -3z = -5 Divide each side by '-3'. z = 1.666666667 Simplifying z = 1.666666667

Solution

z = {0.4285714286, 1.666666667}

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