8a^2+13a+5=0

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Solution for 8a^2+13a+5=0 equation:


Simplifying
8a2 + 13a + 5 = 0

Reorder the terms:
5 + 13a + 8a2 = 0

Solving
5 + 13a + 8a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(1 + a)(5 + 8a) = 0

Subproblem 1

Set the factor '(1 + a)' equal to zero and attempt to solve: Simplifying 1 + a = 0 Solving 1 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + a = 0 + -1 a = 0 + -1 Combine like terms: 0 + -1 = -1 a = -1 Simplifying a = -1

Subproblem 2

Set the factor '(5 + 8a)' equal to zero and attempt to solve: Simplifying 5 + 8a = 0 Solving 5 + 8a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 8a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8a = 0 + -5 8a = 0 + -5 Combine like terms: 0 + -5 = -5 8a = -5 Divide each side by '8'. a = -0.625 Simplifying a = -0.625

Solution

a = {-1, -0.625}

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