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

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


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

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

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

Reorder the terms:
48x2 + -100y2 = 4(5xy + -5xy + x2 + -25y2)

Combine like terms: 5xy + -5xy = 0
48x2 + -100y2 = 4(0 + x2 + -25y2)
48x2 + -100y2 = 4(x2 + -25y2)
48x2 + -100y2 = (x2 * 4 + -25y2 * 4)
48x2 + -100y2 = (4x2 + -100y2)

Add '100y2' to each side of the equation.
48x2 + -100y2 + 100y2 = 4x2 + -100y2 + 100y2

Combine like terms: -100y2 + 100y2 = 0
48x2 + 0 = 4x2 + -100y2 + 100y2
48x2 = 4x2 + -100y2 + 100y2

Combine like terms: -100y2 + 100y2 = 0
48x2 = 4x2 + 0
48x2 = 4x2

Solving
48x2 = 4x2

Solving for variable 'x'.

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

Add '-4x2' to each side of the equation.
48x2 + -4x2 = 4x2 + -4x2

Combine like terms: 48x2 + -4x2 = 44x2
44x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
44x2 = 0

Divide each side by '44'.
x2 = 0

Simplifying
x2 = 0

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

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