a^2+7a+14=2

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Solution for a^2+7a+14=2 equation:


Simplifying
a2 + 7a + 14 = 2

Reorder the terms:
14 + 7a + a2 = 2

Solving
14 + 7a + a2 = 2

Solving for variable 'a'.

Reorder the terms:
14 + -2 + 7a + a2 = 2 + -2

Combine like terms: 14 + -2 = 12
12 + 7a + a2 = 2 + -2

Combine like terms: 2 + -2 = 0
12 + 7a + a2 = 0

Factor a trinomial.
(4 + a)(3 + a) = 0

Subproblem 1

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

Subproblem 2

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

Solution

a = {-4, -3}

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