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

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


Simplifying
4(x2 + -2) = a + -1x2(a + 4)

Reorder the terms:
4(-2 + x2) = a + -1x2(a + 4)
(-2 * 4 + x2 * 4) = a + -1x2(a + 4)
(-8 + 4x2) = a + -1x2(a + 4)

Reorder the terms:
-8 + 4x2 = a + -1x2(4 + a)
-8 + 4x2 = a + (4 * -1x2 + a * -1x2)

Reorder the terms:
-8 + 4x2 = a + (-1ax2 + -4x2)
-8 + 4x2 = a + (-1ax2 + -4x2)

Solving
-8 + 4x2 = a + -1ax2 + -4x2

Solving for variable 'x'.

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

Add 'ax2' to each side of the equation.
-8 + ax2 + 4x2 = a + -1ax2 + ax2 + -4x2

Combine like terms: -1ax2 + ax2 = 0
-8 + ax2 + 4x2 = a + 0 + -4x2
-8 + ax2 + 4x2 = a + -4x2

Add '4x2' to each side of the equation.
-8 + ax2 + 4x2 + 4x2 = a + -4x2 + 4x2

Combine like terms: 4x2 + 4x2 = 8x2
-8 + ax2 + 8x2 = a + -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
-8 + ax2 + 8x2 = a + 0
-8 + ax2 + 8x2 = a

Add '8' to each side of the equation.
-8 + ax2 + 8 + 8x2 = 8 + a

Reorder the terms:
-8 + 8 + ax2 + 8x2 = 8 + a

Combine like terms: -8 + 8 = 0
0 + ax2 + 8x2 = 8 + a
ax2 + 8x2 = 8 + a

Reorder the terms:
-8 + -1a + ax2 + 8x2 = 8 + a + -8 + -1a

Reorder the terms:
-8 + -1a + ax2 + 8x2 = 8 + -8 + a + -1a

Combine like terms: 8 + -8 = 0
-8 + -1a + ax2 + 8x2 = 0 + a + -1a
-8 + -1a + ax2 + 8x2 = a + -1a

Combine like terms: a + -1a = 0
-8 + -1a + ax2 + 8x2 = 0

The solution to this equation could not be determined.

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