2(9a-25b)*(9a+25b)=

Solution for 2(9a-25b)*(9a+25b)= equation:

Simplifying
2(9a + -25b)(9a + 25b) = 0

Multiply (9a + -25b) * (9a + 25b)
2(9a * (9a + 25b) + -25b * (9a + 25b)) = 0
2((9a * 9a + 25b * 9a) + -25b * (9a + 25b)) = 0

Reorder the terms:
2((225ab + 81a2) + -25b * (9a + 25b)) = 0
2((225ab + 81a2) + -25b * (9a + 25b)) = 0
2(225ab + 81a2 + (9a * -25b + 25b * -25b)) = 0
2(225ab + 81a2 + (-225ab + -625b2)) = 0

Reorder the terms:
2(225ab + -225ab + 81a2 + -625b2) = 0

Combine like terms: 225ab + -225ab = 0
2(0 + 81a2 + -625b2) = 0
2(81a2 + -625b2) = 0
(81a2 * 2 + -625b2 * 2) = 0
(162a2 + -1250b2) = 0

Solving
162a2 + -1250b2 = 0

Solving for variable 'a'.

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

Add '1250b2' to each side of the equation.
162a2 + -1250b2 + 1250b2 = 0 + 1250b2

Combine like terms: -1250b2 + 1250b2 = 0
162a2 + 0 = 0 + 1250b2
162a2 = 0 + 1250b2
Remove the zero:
162a2 = 1250b2

Divide each side by '162'.
a2 = 7.716049383b2

Simplifying
a2 = 7.716049383b2

Take the square root of each side:
a = {-2.777777778b, 2.777777778b}