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

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

Simplifying
7a2 + 10ab + 3b2 = 0

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

Solving
10ab + 7a2 + 3b2 = 0

Solving for variable 'a'.

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

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

Simplifying
7a + 3b = 0

Solving
7a + 3b = 0

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

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

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

Divide each side by '7'.
a = -0.4285714286b

Simplifying
a = -0.4285714286b
Subproblem 2
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
Solution
a = {-0.4285714286b, -1b}