15a^2+56a+49=0

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Solution for 15a^2+56a+49=0 equation: 


Simplifying
15a2 + 56a + 49 = 0

Reorder the terms:
49 + 56a + 15a2 = 0

Solving
49 + 56a + 15a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(7 + 3a)(7 + 5a) = 0


Subproblem 1
Set the factor '(7 + 3a)' equal to zero and attempt to solve:

Simplifying
7 + 3a = 0

Solving
7 + 3a = 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 + 3a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3a = 0 + -7
3a = 0 + -7

Combine like terms: 0 + -7 = -7
3a = -7

Divide each side by '3'.
a = -2.333333333

Simplifying
a = -2.333333333

Subproblem 2
Set the factor '(7 + 5a)' equal to zero and attempt to solve:

Simplifying
7 + 5a = 0

Solving
7 + 5a = 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 + 5a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5a = 0 + -7
5a = 0 + -7

Combine like terms: 0 + -7 = -7
5a = -7

Divide each side by '5'.
a = -1.4

Simplifying
a = -1.4
Solution
a = {-2.333333333, -1.4}

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