2x-(24-x-[x^2])=x^2

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Solution for 2x-(24-x-[x^2])=x^2 equation:


Simplifying
2x + -1(24 + -1x + -1[x2]) = x2
2x + (24 * -1 + -1x * -1 + -1x2 * -1) = x2
2x + (-24 + 1x + 1x2) = x2

Reorder the terms:
-24 + 2x + 1x + 1x2 = x2

Combine like terms: 2x + 1x = 3x
-24 + 3x + 1x2 = x2

Solving
-24 + 3x + 1x2 = x2

Solving for variable 'x'.

Combine like terms: 1x2 + -1x2 = 0
-24 + 3x + 0 = x2 + -1x2
-24 + 3x = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-24 + 3x = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + x) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-8 + x)' equal to zero and attempt to solve:

Simplifying
-8 + x = 0

Solving
-8 + x = 0

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

Add '8' to each side of the equation.
-8 + 8 + x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + x = 0 + 8
x = 0 + 8

Combine like terms: 0 + 8 = 8
x = 8

Simplifying
x = 8
Solution
x = {8}

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