a^2+9a+21=7

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Solution for a^2+9a+21=7 equation:


Simplifying
a2 + 9a + 21 = 7

Reorder the terms:
21 + 9a + a2 = 7

Solving
21 + 9a + a2 = 7

Solving for variable 'a'.

Reorder the terms:
21 + -7 + 9a + a2 = 7 + -7

Combine like terms: 21 + -7 = 14
14 + 9a + a2 = 7 + -7

Combine like terms: 7 + -7 = 0
14 + 9a + a2 = 0

Factor a trinomial.
(7 + a)(2 + a) = 0

Subproblem 1

Set the factor '(7 + a)' equal to zero and attempt to solve: Simplifying 7 + a = 0 Solving 7 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + a = 0 + -7 a = 0 + -7 Combine like terms: 0 + -7 = -7 a = -7 Simplifying a = -7

Subproblem 2

Set the factor '(2 + a)' equal to zero and attempt to solve: Simplifying 2 + a = 0 Solving 2 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + a = 0 + -2 a = 0 + -2 Combine like terms: 0 + -2 = -2 a = -2 Simplifying a = -2

Solution

a = {-7, -2}

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