25x^2-64y^2=(5x+8y)(5x-8y)

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Solution for 25x^2-64y^2=(5x+8y)(5x-8y) equation:


Simplifying
25x2 + -64y2 = (5x + 8y)(5x + -8y)

Multiply (5x + 8y) * (5x + -8y)
25x2 + -64y2 = (5x * (5x + -8y) + 8y * (5x + -8y))
25x2 + -64y2 = ((5x * 5x + -8y * 5x) + 8y * (5x + -8y))

Reorder the terms:
25x2 + -64y2 = ((-40xy + 25x2) + 8y * (5x + -8y))
25x2 + -64y2 = ((-40xy + 25x2) + 8y * (5x + -8y))
25x2 + -64y2 = (-40xy + 25x2 + (5x * 8y + -8y * 8y))
25x2 + -64y2 = (-40xy + 25x2 + (40xy + -64y2))

Reorder the terms:
25x2 + -64y2 = (-40xy + 40xy + 25x2 + -64y2)

Combine like terms: -40xy + 40xy = 0
25x2 + -64y2 = (0 + 25x2 + -64y2)
25x2 + -64y2 = (25x2 + -64y2)

Add '-25x2' to each side of the equation.
25x2 + -25x2 + -64y2 = 25x2 + -25x2 + -64y2

Combine like terms: 25x2 + -25x2 = 0
0 + -64y2 = 25x2 + -25x2 + -64y2
-64y2 = 25x2 + -25x2 + -64y2

Combine like terms: 25x2 + -25x2 = 0
-64y2 = 0 + -64y2
-64y2 = -64y2

Add '64y2' to each side of the equation.
-64y2 + 64y2 = -64y2 + 64y2

Combine like terms: -64y2 + 64y2 = 0
0 = -64y2 + 64y2

Combine like terms: -64y2 + 64y2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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