9a^2-(3a-2b)(3a-2b)=0

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Solution for 9a^2-(3a-2b)(3a-2b)=0 equation:


Simplifying
9a2 + -1(3a + -2b)(3a + -2b) = 0

Multiply (3a + -2b) * (3a + -2b)
9a2 + -1(3a * (3a + -2b) + -2b * (3a + -2b)) = 0
9a2 + -1((3a * 3a + -2b * 3a) + -2b * (3a + -2b)) = 0

Reorder the terms:
9a2 + -1((-6ab + 9a2) + -2b * (3a + -2b)) = 0
9a2 + -1((-6ab + 9a2) + -2b * (3a + -2b)) = 0
9a2 + -1(-6ab + 9a2 + (3a * -2b + -2b * -2b)) = 0
9a2 + -1(-6ab + 9a2 + (-6ab + 4b2)) = 0

Reorder the terms:
9a2 + -1(-6ab + -6ab + 9a2 + 4b2) = 0

Combine like terms: -6ab + -6ab = -12ab
9a2 + -1(-12ab + 9a2 + 4b2) = 0
9a2 + (-12ab * -1 + 9a2 * -1 + 4b2 * -1) = 0
9a2 + (12ab + -9a2 + -4b2) = 0

Reorder the terms:
12ab + 9a2 + -9a2 + -4b2 = 0

Combine like terms: 9a2 + -9a2 = 0
12ab + 0 + -4b2 = 0
12ab + -4b2 = 0

Solving
12ab + -4b2 = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '4b2' to each side of the equation.
12ab + -4b2 + 4b2 = 0 + 4b2

Combine like terms: -4b2 + 4b2 = 0
12ab + 0 = 0 + 4b2
12ab = 0 + 4b2
Remove the zero:
12ab = 4b2

Divide each side by '12b'.
a = 0.3333333333b

Simplifying
a = 0.3333333333b

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