15z^2-14z-8=0

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Solution for 15z^2-14z-8=0 equation:


Simplifying
15z2 + -14z + -8 = 0

Reorder the terms:
-8 + -14z + 15z2 = 0

Solving
-8 + -14z + 15z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-2 + -5z)(4 + -3z) = 0

Subproblem 1

Set the factor '(-2 + -5z)' equal to zero and attempt to solve: Simplifying -2 + -5z = 0 Solving -2 + -5z = 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 + -5z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5z = 0 + 2 -5z = 0 + 2 Combine like terms: 0 + 2 = 2 -5z = 2 Divide each side by '-5'. z = -0.4 Simplifying z = -0.4

Subproblem 2

Set the factor '(4 + -3z)' equal to zero and attempt to solve: Simplifying 4 + -3z = 0 Solving 4 + -3z = 0 Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3z = 0 + -4 -3z = 0 + -4 Combine like terms: 0 + -4 = -4 -3z = -4 Divide each side by '-3'. z = 1.333333333 Simplifying z = 1.333333333

Solution

z = {-0.4, 1.333333333}

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