7b^2-2ab-5a^2=

Solution for 7b^2-2ab-5a^2= equation:

Simplifying
7b2 + -2ab + -5a2 = 0

Reorder the terms:
-2ab + -5a2 + 7b2 = 0

Solving
-2ab + -5a2 + 7b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-5a + -7b)(a + -1b) = 0

Subproblem 1
Set the factor '(-5a + -7b)' equal to zero and attempt to solve:

Simplifying
-5a + -7b = 0

Solving
-5a + -7b = 0

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

Add '7b' to each side of the equation.
-5a + -7b + 7b = 0 + 7b

Combine like terms: -7b + 7b = 0
-5a + 0 = 0 + 7b
-5a = 0 + 7b
Remove the zero:
-5a = 7b

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

Simplifying
a = -1.4b
Subproblem 2
Set the factor '(a + -1b)' equal to zero and attempt to solve:

Simplifying
a + -1b = 0

Solving
a + -1b = 0

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

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

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

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