4a^2+56a+180=0

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Solution for 4a^2+56a+180=0 equation:


Simplifying
4a2 + 56a + 180 = 0

Reorder the terms:
180 + 56a + 4a2 = 0

Solving
180 + 56a + 4a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4'.
4(45 + 14a + a2) = 0

Factor a trinomial.
4((9 + a)(5 + a)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(9 + a)' equal to zero and attempt to solve: Simplifying 9 + a = 0 Solving 9 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + a = 0 + -9 a = 0 + -9 Combine like terms: 0 + -9 = -9 a = -9 Simplifying a = -9

Subproblem 2

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

Solution

a = {-9, -5}

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