a*a+28a+196=0

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Solution for a*a+28a+196=0 equation:


Simplifying
a * a + 28a + 196 = 0

Multiply a * a
a2 + 28a + 196 = 0

Reorder the terms:
196 + 28a + a2 = 0

Solving
196 + 28a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(14 + a)(14 + a) = 0

Subproblem 1

Set the factor '(14 + a)' equal to zero and attempt to solve: Simplifying 14 + a = 0 Solving 14 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + a = 0 + -14 Combine like terms: 14 + -14 = 0 0 + a = 0 + -14 a = 0 + -14 Combine like terms: 0 + -14 = -14 a = -14 Simplifying a = -14

Subproblem 2

Set the factor '(14 + a)' equal to zero and attempt to solve: Simplifying 14 + a = 0 Solving 14 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + a = 0 + -14 Combine like terms: 14 + -14 = 0 0 + a = 0 + -14 a = 0 + -14 Combine like terms: 0 + -14 = -14 a = -14 Simplifying a = -14

Solution

a = {-14, -14}

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