5a^2-4ab-28b^2=0

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Solution for 5a^2-4ab-28b^2=0 equation: 


Simplifying
5a2 + -4ab + -28b2 = 0

Reorder the terms:
-4ab + 5a2 + -28b2 = 0

Solving
-4ab + 5a2 + -28b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(5a + -14b)(a + 2b) = 0


Subproblem 1
Set the factor '(5a + -14b)' equal to zero and attempt to solve:

Simplifying
5a + -14b = 0

Solving
5a + -14b = 0

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

Add '14b' to each side of the equation.
5a + -14b + 14b = 0 + 14b

Combine like terms: -14b + 14b = 0
5a + 0 = 0 + 14b
5a = 0 + 14b
Remove the zero:
5a = 14b

Divide each side by '5'.
a = 2.8b

Simplifying
a = 2.8b

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

Simplifying
a + 2b = 0

Solving
a + 2b = 0

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

Add '-2b' to each side of the equation.
a + 2b + -2b = 0 + -2b

Combine like terms: 2b + -2b = 0
a + 0 = 0 + -2b
a = 0 + -2b
Remove the zero:
a = -2b

Simplifying
a = -2b
Solution
a = {2.8b, -2b}

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