x^2(a-2b)-y^2(a-2b)=

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Solution for x^2(a-2b)-y^2(a-2b)= equation:


Simplifying
x2(a + -2b) + -1y2(a + -2b) = 0
(a * x2 + -2b * x2) + -1y2(a + -2b) = 0
(ax2 + -2bx2) + -1y2(a + -2b) = 0
ax2 + -2bx2 + (a * -1y2 + -2b * -1y2) = 0
ax2 + -2bx2 + (-1ay2 + 2by2) = 0

Reorder the terms:
ax2 + -1ay2 + -2bx2 + 2by2 = 0

Solving
ax2 + -1ay2 + -2bx2 + 2by2 = 0

Solving for variable 'a'.

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

Add '2bx2' to each side of the equation.
ax2 + -1ay2 + -2bx2 + 2bx2 + 2by2 = 0 + 2bx2

Combine like terms: -2bx2 + 2bx2 = 0
ax2 + -1ay2 + 0 + 2by2 = 0 + 2bx2
ax2 + -1ay2 + 2by2 = 0 + 2bx2
Remove the zero:
ax2 + -1ay2 + 2by2 = 2bx2

Add '-2by2' to each side of the equation.
ax2 + -1ay2 + 2by2 + -2by2 = 2bx2 + -2by2

Combine like terms: 2by2 + -2by2 = 0
ax2 + -1ay2 + 0 = 2bx2 + -2by2
ax2 + -1ay2 = 2bx2 + -2by2

Reorder the terms:
ax2 + -1ay2 + -2bx2 + 2by2 = 2bx2 + -2bx2 + -2by2 + 2by2

Combine like terms: 2bx2 + -2bx2 = 0
ax2 + -1ay2 + -2bx2 + 2by2 = 0 + -2by2 + 2by2
ax2 + -1ay2 + -2bx2 + 2by2 = -2by2 + 2by2

Combine like terms: -2by2 + 2by2 = 0
ax2 + -1ay2 + -2bx2 + 2by2 = 0

The solution to this equation could not be determined.

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