ax^2-b=bx-a

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Solution for ax^2-b=bx-a equation:


Simplifying
ax2 + -1b = bx + -1a

Reorder the terms:
ax2 + -1b = -1a + bx

Solving
ax2 + -1b = -1a + bx

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
ax2 + a + -1b = -1a + a + bx

Reorder the terms:
a + ax2 + -1b = -1a + a + bx

Combine like terms: -1a + a = 0
a + ax2 + -1b = 0 + bx
a + ax2 + -1b = bx

Add 'b' to each side of the equation.
a + ax2 + -1b + b = b + bx

Combine like terms: -1b + b = 0
a + ax2 + 0 = b + bx
a + ax2 = b + bx

Reorder the terms:
a + ax2 + -1b + -1bx = b + -1b + bx + -1bx

Combine like terms: b + -1b = 0
a + ax2 + -1b + -1bx = 0 + bx + -1bx
a + ax2 + -1b + -1bx = bx + -1bx

Combine like terms: bx + -1bx = 0
a + ax2 + -1b + -1bx = 0

The solution to this equation could not be determined.

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