a^2+24a+135=

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Solution for a^2+24a+135= equation:


Simplifying
a2 + 24a + 135 = 0

Reorder the terms:
135 + 24a + a2 = 0

Solving
135 + 24a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(15 + a)(9 + a) = 0

Subproblem 1

Set the factor '(15 + a)' equal to zero and attempt to solve: Simplifying 15 + a = 0 Solving 15 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + a = 0 + -15 Combine like terms: 15 + -15 = 0 0 + a = 0 + -15 a = 0 + -15 Combine like terms: 0 + -15 = -15 a = -15 Simplifying a = -15

Subproblem 2

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

Solution

a = {-15, -9}

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