12a^2+145ab+12b^2=0

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Solution for 12a^2+145ab+12b^2=0 equation:


Simplifying
12a2 + 145ab + 12b2 = 0

Reorder the terms:
145ab + 12a2 + 12b2 = 0

Solving
145ab + 12a2 + 12b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(12a + b)(a + 12b) = 0

Subproblem 1

Set the factor '(12a + b)' equal to zero and attempt to solve: Simplifying 12a + b = 0 Solving 12a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 12a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 12a + 0 = 0 + -1b 12a = 0 + -1b Remove the zero: 12a = -1b Divide each side by '12'. a = -0.08333333333b Simplifying a = -0.08333333333b

Subproblem 2

Set the factor '(a + 12b)' equal to zero and attempt to solve: Simplifying a + 12b = 0 Solving a + 12b = 0 Move all terms containing a to the left, all other terms to the right. Add '-12b' to each side of the equation. a + 12b + -12b = 0 + -12b Combine like terms: 12b + -12b = 0 a + 0 = 0 + -12b a = 0 + -12b Remove the zero: a = -12b Simplifying a = -12b

Solution

a = {-0.08333333333b, -12b}

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