2a^2+21a+49=0

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Solution for 2a^2+21a+49=0 equation:


Simplifying
2a2 + 21a + 49 = 0

Reorder the terms:
49 + 21a + 2a2 = 0

Solving
49 + 21a + 2a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(7 + a)(7 + 2a) = 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 '(7 + 2a)' equal to zero and attempt to solve:

Simplifying
7 + 2a = 0

Solving
7 + 2a = 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 + 2a = 0 + -7

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

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

Divide each side by '2'.
a = -3.5

Simplifying
a = -3.5
Solution
a = {-7, -3.5}

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