4a^2-4ab-35b^2=0

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Solution for 4a^2-4ab-35b^2=0 equation: 


Simplifying
4a2 + -4ab + -35b2 = 0

Reorder the terms:
-4ab + 4a2 + -35b2 = 0

Solving
-4ab + 4a2 + -35b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(2a + -7b)(2a + 5b) = 0


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

Simplifying
2a + -7b = 0

Solving
2a + -7b = 0

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

Add '7b' to each side of the equation.
2a + -7b + 7b = 0 + 7b

Combine like terms: -7b + 7b = 0
2a + 0 = 0 + 7b
2a = 0 + 7b
Remove the zero:
2a = 7b

Divide each side by '2'.
a = 3.5b

Simplifying
a = 3.5b

Subproblem 2
Set the factor '(2a + 5b)' equal to zero and attempt to solve:

Simplifying
2a + 5b = 0

Solving
2a + 5b = 0

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

Add '-5b' to each side of the equation.
2a + 5b + -5b = 0 + -5b

Combine like terms: 5b + -5b = 0
2a + 0 = 0 + -5b
2a = 0 + -5b
Remove the zero:
2a = -5b

Divide each side by '2'.
a = -2.5b

Simplifying
a = -2.5b
Solution
a = {3.5b, -2.5b}

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