4a^2-4ab-3b^2=

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Solution for 4a^2-4ab-3b^2= equation:


Simplifying
4a2 + -4ab + -3b2 = 0

Reorder the terms:
-4ab + 4a2 + -3b2 = 0

Solving
-4ab + 4a2 + -3b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(2a + -3b)(2a + b) = 0

Subproblem 1

Set the factor '(2a + -3b)' equal to zero and attempt to solve: Simplifying 2a + -3b = 0 Solving 2a + -3b = 0 Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. 2a + -3b + 3b = 0 + 3b Combine like terms: -3b + 3b = 0 2a + 0 = 0 + 3b 2a = 0 + 3b Remove the zero: 2a = 3b Divide each side by '2'. a = 1.5b Simplifying a = 1.5b

Subproblem 2

Set the factor '(2a + b)' equal to zero and attempt to solve: Simplifying 2a + b = 0 Solving 2a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 2a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 2a + 0 = 0 + -1b 2a = 0 + -1b Remove the zero: 2a = -1b Divide each side by '2'. a = -0.5b Simplifying a = -0.5b

Solution

a = {1.5b, -0.5b}

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