48x^2-100y^2=4(12x-5y)(12x+5y)

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Solution for 48x^2-100y^2=4(12x-5y)(12x+5y) equation: 


Simplifying
48x2 + -100y2 = 4(12x + -5y)(12x + 5y)

Multiply (12x + -5y) * (12x + 5y)
48x2 + -100y2 = 4(12x * (12x + 5y) + -5y * (12x + 5y))
48x2 + -100y2 = 4((12x * 12x + 5y * 12x) + -5y * (12x + 5y))

Reorder the terms:
48x2 + -100y2 = 4((60xy + 144x2) + -5y * (12x + 5y))
48x2 + -100y2 = 4((60xy + 144x2) + -5y * (12x + 5y))
48x2 + -100y2 = 4(60xy + 144x2 + (12x * -5y + 5y * -5y))
48x2 + -100y2 = 4(60xy + 144x2 + (-60xy + -25y2))

Reorder the terms:
48x2 + -100y2 = 4(60xy + -60xy + 144x2 + -25y2)

Combine like terms: 60xy + -60xy = 0
48x2 + -100y2 = 4(0 + 144x2 + -25y2)
48x2 + -100y2 = 4(144x2 + -25y2)
48x2 + -100y2 = (144x2 * 4 + -25y2 * 4)
48x2 + -100y2 = (576x2 + -100y2)

Add '100y2' to each side of the equation.
48x2 + -100y2 + 100y2 = 576x2 + -100y2 + 100y2

Combine like terms: -100y2 + 100y2 = 0
48x2 + 0 = 576x2 + -100y2 + 100y2
48x2 = 576x2 + -100y2 + 100y2

Combine like terms: -100y2 + 100y2 = 0
48x2 = 576x2 + 0
48x2 = 576x2

Solving
48x2 = 576x2

Solving for variable 'x'.

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

Add '-576x2' to each side of the equation.
48x2 + -576x2 = 576x2 + -576x2

Combine like terms: 48x2 + -576x2 = -528x2
-528x2 = 576x2 + -576x2

Combine like terms: 576x2 + -576x2 = 0
-528x2 = 0

Divide each side by '-528'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

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