2a^2+11a=-5

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Solution for 2a^2+11a=-5 equation:


Simplifying
2a2 + 11a = -5

Reorder the terms:
11a + 2a2 = -5

Solving
11a + 2a2 = -5

Solving for variable 'a'.

Reorder the terms:
5 + 11a + 2a2 = -5 + 5

Combine like terms: -5 + 5 = 0
5 + 11a + 2a2 = 0

Factor a trinomial.
(5 + a)(1 + 2a) = 0

Subproblem 1

Set the factor '(5 + a)' equal to zero and attempt to solve: Simplifying 5 + a = 0 Solving 5 + a = 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 + a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + a = 0 + -5 a = 0 + -5 Combine like terms: 0 + -5 = -5 a = -5 Simplifying a = -5

Subproblem 2

Set the factor '(1 + 2a)' equal to zero and attempt to solve: Simplifying 1 + 2a = 0 Solving 1 + 2a = 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 + 2a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2a = 0 + -1 2a = 0 + -1 Combine like terms: 0 + -1 = -1 2a = -1 Divide each side by '2'. a = -0.5 Simplifying a = -0.5

Solution

a = {-5, -0.5}

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