3a^2+10ab+7b^2=

Solution for 3a^2+10ab+7b^2= equation:

Simplifying
3a2 + 10ab + 7b2 = 0

Reorder the terms:
10ab + 3a2 + 7b2 = 0

Solving
10ab + 3a2 + 7b2 = 0

Solving for variable 'a'.

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

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

Simplifying
a + b = 0

Solving
a + b = 0

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

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

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

Simplifying
a = -1b
Subproblem 2
Set the factor '(3a + 7b)' equal to zero and attempt to solve:

Simplifying
3a + 7b = 0

Solving
3a + 7b = 0

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

Add '-7b' to each side of the equation.
3a + 7b + -7b = 0 + -7b

Combine like terms: 7b + -7b = 0
3a + 0 = 0 + -7b
3a = 0 + -7b
Remove the zero:
3a = -7b

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

Simplifying
a = -2.333333333b
Solution
a = {-1b, -2.333333333b}