x^2a+(x-4)=(x+4)a

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Solution for x^2a+(x-4)=(x+4)a equation:


Simplifying
x2a + (x + -4) = (x + 4) * a

Reorder the terms:
ax2 + (-4 + x) = (x + 4) * a

Remove parenthesis around (-4 + x)
ax2 + -4 + x = (x + 4) * a

Reorder the terms:
-4 + ax2 + x = (x + 4) * a

Reorder the terms:
-4 + ax2 + x = (4 + x) * a

Reorder the terms for easier multiplication:
-4 + ax2 + x = a(4 + x)
-4 + ax2 + x = (4 * a + x * a)
-4 + ax2 + x = (4a + ax)

Solving
-4 + ax2 + x = 4a + ax

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
-4 + ax2 + -4a + x = 4a + -4a + ax

Reorder the terms:
-4 + -4a + ax2 + x = 4a + -4a + ax

Combine like terms: 4a + -4a = 0
-4 + -4a + ax2 + x = 0 + ax
-4 + -4a + ax2 + x = ax

Add '-1ax' to each side of the equation.
-4 + -4a + ax2 + -1ax + x = ax + -1ax

Reorder the terms:
-4 + -4a + -1ax + ax2 + x = ax + -1ax

Combine like terms: ax + -1ax = 0
-4 + -4a + -1ax + ax2 + x = 0

Add '4' to each side of the equation.
-4 + -4a + -1ax + ax2 + 4 + x = 0 + 4

Reorder the terms:
-4 + 4 + -4a + -1ax + ax2 + x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -4a + -1ax + ax2 + x = 0 + 4
-4a + -1ax + ax2 + x = 0 + 4

Combine like terms: 0 + 4 = 4
-4a + -1ax + ax2 + x = 4

Add '-1x' to each side of the equation.
-4a + -1ax + ax2 + x + -1x = 4 + -1x

Combine like terms: x + -1x = 0
-4a + -1ax + ax2 + 0 = 4 + -1x
-4a + -1ax + ax2 = 4 + -1x

Reorder the terms:
-4 + -4a + -1ax + ax2 + x = 4 + -1x + -4 + x

Reorder the terms:
-4 + -4a + -1ax + ax2 + x = 4 + -4 + -1x + x

Combine like terms: 4 + -4 = 0
-4 + -4a + -1ax + ax2 + x = 0 + -1x + x
-4 + -4a + -1ax + ax2 + x = -1x + x

Combine like terms: -1x + x = 0
-4 + -4a + -1ax + ax2 + x = 0

The solution to this equation could not be determined.

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