7a^2+50ab+7b^2=

Solution for 7a^2+50ab+7b^2= equation:

Simplifying
7a2 + 50ab + 7b2 = 0

Reorder the terms:
50ab + 7a2 + 7b2 = 0

Solving
50ab + 7a2 + 7b2 = 0

Solving for variable 'a'.

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

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

Simplifying
7a + b = 0

Solving
7a + b = 0

Move all terms containing a to the left, all other terms to the right.

Add '-1b' to each side of the equation.
7a + b + -1b = 0 + -1b

Combine like terms: b + -1b = 0
7a + 0 = 0 + -1b
7a = 0 + -1b
Remove the zero:
7a = -1b

Divide each side by '7'.
a = -0.1428571429b

Simplifying
a = -0.1428571429b
Subproblem 2
Set the factor '(a + 7b)' equal to zero and attempt to solve:

Simplifying
a + 7b = 0

Solving
a + 7b = 0

Move all terms containing a to the left, all other terms to the right.

Add '-7b' to each side of the equation.
a + 7b + -7b = 0 + -7b

Combine like terms: 7b + -7b = 0
a + 0 = 0 + -7b
a = 0 + -7b
Remove the zero:
a = -7b

Simplifying
a = -7b
Solution
a = {-0.1428571429b, -7b}