(3a+5b)(3a-5b)=

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Solution for (3a+5b)(3a-5b)= equation: 


Simplifying
(3a + 5b)(3a + -5b) = 0

Multiply (3a + 5b) * (3a + -5b)
(3a * (3a + -5b) + 5b * (3a + -5b)) = 0
((3a * 3a + -5b * 3a) + 5b * (3a + -5b)) = 0

Reorder the terms:
((-15ab + 9a2) + 5b * (3a + -5b)) = 0
((-15ab + 9a2) + 5b * (3a + -5b)) = 0
(-15ab + 9a2 + (3a * 5b + -5b * 5b)) = 0
(-15ab + 9a2 + (15ab + -25b2)) = 0

Reorder the terms:
(-15ab + 15ab + 9a2 + -25b2) = 0

Combine like terms: -15ab + 15ab = 0
(0 + 9a2 + -25b2) = 0
(9a2 + -25b2) = 0

Solving
9a2 + -25b2 = 0

Solving for variable 'a'.

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

Add '25b2' to each side of the equation.
9a2 + -25b2 + 25b2 = 0 + 25b2

Combine like terms: -25b2 + 25b2 = 0
9a2 + 0 = 0 + 25b2
9a2 = 0 + 25b2
Remove the zero:
9a2 = 25b2

Divide each side by '9'.
a2 = 2.777777778b2

Simplifying
a2 = 2.777777778b2

Take the square root of each side:
a = {-1.666666667b, 1.666666667b}

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