4a^2-13ab+9b^2=0

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Solution for 4a^2-13ab+9b^2=0 equation:


Simplifying
4a2 + -13ab + 9b2 = 0

Reorder the terms:
-13ab + 4a2 + 9b2 = 0

Solving
-13ab + 4a2 + 9b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(4a + -9b)(a + -1b) = 0

Subproblem 1

Set the factor '(4a + -9b)' equal to zero and attempt to solve: Simplifying 4a + -9b = 0 Solving 4a + -9b = 0 Move all terms containing a to the left, all other terms to the right. Add '9b' to each side of the equation. 4a + -9b + 9b = 0 + 9b Combine like terms: -9b + 9b = 0 4a + 0 = 0 + 9b 4a = 0 + 9b Remove the zero: 4a = 9b Divide each side by '4'. a = 2.25b Simplifying a = 2.25b

Subproblem 2

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

Solution

a = {2.25b, b}

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