121a^2-88ab+16b^2=0

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Solution for 121a^2-88ab+16b^2=0 equation:


Simplifying
121a2 + -88ab + 16b2 = 0

Reorder the terms:
-88ab + 121a2 + 16b2 = 0

Solving
-88ab + 121a2 + 16b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(11a + -4b)(11a + -4b) = 0

Subproblem 1

Set the factor '(11a + -4b)' equal to zero and attempt to solve: Simplifying 11a + -4b = 0 Solving 11a + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. 11a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 11a + 0 = 0 + 4b 11a = 0 + 4b Remove the zero: 11a = 4b Divide each side by '11'. a = 0.3636363636b Simplifying a = 0.3636363636b

Subproblem 2

Set the factor '(11a + -4b)' equal to zero and attempt to solve: Simplifying 11a + -4b = 0 Solving 11a + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. 11a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 11a + 0 = 0 + 4b 11a = 0 + 4b Remove the zero: 11a = 4b Divide each side by '11'. a = 0.3636363636b Simplifying a = 0.3636363636b

Solution

a = {0.3636363636b, 0.3636363636b}

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