3(2x+5y)(2x-5y)=

Solution for 3(2x+5y)(2x-5y)= equation:

Simplifying
3(2x + 5y)(2x + -5y) = 0

Multiply (2x + 5y) * (2x + -5y)
3(2x * (2x + -5y) + 5y * (2x + -5y)) = 0
3((2x * 2x + -5y * 2x) + 5y * (2x + -5y)) = 0

Reorder the terms:
3((-10xy + 4x2) + 5y * (2x + -5y)) = 0
3((-10xy + 4x2) + 5y * (2x + -5y)) = 0
3(-10xy + 4x2 + (2x * 5y + -5y * 5y)) = 0
3(-10xy + 4x2 + (10xy + -25y2)) = 0

Reorder the terms:
3(-10xy + 10xy + 4x2 + -25y2) = 0

Combine like terms: -10xy + 10xy = 0
3(0 + 4x2 + -25y2) = 0
3(4x2 + -25y2) = 0
(4x2 * 3 + -25y2 * 3) = 0
(12x2 + -75y2) = 0

Solving
12x2 + -75y2 = 0

Solving for variable 'x'.

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

Add '75y2' to each side of the equation.
12x2 + -75y2 + 75y2 = 0 + 75y2

Combine like terms: -75y2 + 75y2 = 0
12x2 + 0 = 0 + 75y2
12x2 = 0 + 75y2
Remove the zero:
12x2 = 75y2

Divide each side by '12'.
x2 = 6.25y2

Simplifying
x2 = 6.25y2

Take the square root of each side:
x = {-2.5y, 2.5y}