4x=4x+8-x^2+10

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Solution for 4x=4x+8-x^2+10 equation:


Simplifying
4x = 4x + 8 + -1x2 + 10

Reorder the terms:
4x = 8 + 10 + 4x + -1x2

Combine like terms: 8 + 10 = 18
4x = 18 + 4x + -1x2

Add '-4x' to each side of the equation.
4x + -4x = 18 + 4x + -4x + -1x2

Combine like terms: 4x + -4x = 0
0 = 18 + 4x + -4x + -1x2

Combine like terms: 4x + -4x = 0
0 = 18 + 0 + -1x2
0 = 18 + -1x2

Solving
0 = 18 + -1x2

Solving for variable 'x'.

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

Add 'x2' to each side of the equation.
0 + x2 = 18 + -1x2 + x2
Remove the zero:
x2 = 18 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
x2 = 18 + 0
x2 = 18

Simplifying
x2 = 18

Take the square root of each side:
x = {-4.242640687, 4.242640687}

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