4a-12b+4x^2=b^2-x^2

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Solution for 4a-12b+4x^2=b^2-x^2 equation:


Simplifying
4a + -12b + 4x2 = b2 + -1x2

Solving
4a + -12b + 4x2 = b2 + -1x2

Solving for variable 'a'.

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

Add '12b' to each side of the equation.
4a + -12b + 12b + 4x2 = b2 + 12b + -1x2

Combine like terms: -12b + 12b = 0
4a + 0 + 4x2 = b2 + 12b + -1x2
4a + 4x2 = b2 + 12b + -1x2

Reorder the terms:
4a + 4x2 = 12b + b2 + -1x2

Add '-4x2' to each side of the equation.
4a + 4x2 + -4x2 = 12b + b2 + -1x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
4a + 0 = 12b + b2 + -1x2 + -4x2
4a = 12b + b2 + -1x2 + -4x2

Combine like terms: -1x2 + -4x2 = -5x2
4a = 12b + b2 + -5x2

Divide each side by '4'.
a = 3b + 0.25b2 + -1.25x2

Simplifying
a = 3b + 0.25b2 + -1.25x2

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