16a^2-25b^2-4a-5a=0

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Solution for 16a^2-25b^2-4a-5a=0 equation:


Simplifying
16a2 + -25b2 + -4a + -5a = 0

Reorder the terms:
-4a + -5a + 16a2 + -25b2 = 0

Combine like terms: -4a + -5a = -9a
-9a + 16a2 + -25b2 = 0

Solving
-9a + 16a2 + -25b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(16a + -25b)(a + b) = 0

Subproblem 1

Set the factor '(16a + -25b)' equal to zero and attempt to solve: Simplifying 16a + -25b = 0 Solving 16a + -25b = 0 Move all terms containing a to the left, all other terms to the right. Add '25b' to each side of the equation. 16a + -25b + 25b = 0 + 25b Combine like terms: -25b + 25b = 0 16a + 0 = 0 + 25b 16a = 0 + 25b Remove the zero: 16a = 25b Divide each side by '16'. a = 1.5625b Simplifying a = 1.5625b

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 = {1.5625b, -1b}

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