x^2-4a^2+12x+36=

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Solution for x^2-4a^2+12x+36= equation:


Simplifying
x2 + -4a2 + 12x + 36 = 0

Reorder the terms:
36 + -4a2 + 12x + x2 = 0

Solving
36 + -4a2 + 12x + x2 = 0

Solving for variable 'a'.

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

Add '-36' to each side of the equation.
36 + -4a2 + 12x + -36 + x2 = 0 + -36

Reorder the terms:
36 + -36 + -4a2 + 12x + x2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -4a2 + 12x + x2 = 0 + -36
-4a2 + 12x + x2 = 0 + -36

Combine like terms: 0 + -36 = -36
-4a2 + 12x + x2 = -36

Add '-12x' to each side of the equation.
-4a2 + 12x + -12x + x2 = -36 + -12x

Combine like terms: 12x + -12x = 0
-4a2 + 0 + x2 = -36 + -12x
-4a2 + x2 = -36 + -12x

Add '-1x2' to each side of the equation.
-4a2 + x2 + -1x2 = -36 + -12x + -1x2

Combine like terms: x2 + -1x2 = 0
-4a2 + 0 = -36 + -12x + -1x2
-4a2 = -36 + -12x + -1x2

Divide each side by '-4'.
a2 = 9 + 3x + 0.25x2

Simplifying
a2 = 9 + 3x + 0.25x2

Reorder the terms:
-9 + a2 + -3x + -0.25x2 = 9 + 3x + 0.25x2 + -9 + -3x + -0.25x2

Reorder the terms:
-9 + a2 + -3x + -0.25x2 = 9 + -9 + 3x + -3x + 0.25x2 + -0.25x2

Combine like terms: 9 + -9 = 0
-9 + a2 + -3x + -0.25x2 = 0 + 3x + -3x + 0.25x2 + -0.25x2
-9 + a2 + -3x + -0.25x2 = 3x + -3x + 0.25x2 + -0.25x2

Combine like terms: 3x + -3x = 0
-9 + a2 + -3x + -0.25x2 = 0 + 0.25x2 + -0.25x2
-9 + a2 + -3x + -0.25x2 = 0.25x2 + -0.25x2

Combine like terms: 0.25x2 + -0.25x2 = 0.00
-9 + a2 + -3x + -0.25x2 = 0.00

The solution to this equation could not be determined.

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