4(sqrt(1-x)+sqrt(1+x))+x^2-8=0

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Solution for 4(sqrt(1-x)+sqrt(1+x))+x^2-8=0 equation:


Simplifying
4(sqrt(1 + -1x) + sqrt(1 + x)) + x2 + -8 = 0
4((1 * qrst + -1x * qrst) + sqrt(1 + x)) + x2 + -8 = 0
4((1qrst + -1qrstx) + sqrt(1 + x)) + x2 + -8 = 0
4(1qrst + -1qrstx + (1 * qrst + x * qrst)) + x2 + -8 = 0
4(1qrst + -1qrstx + (1qrst + qrstx)) + x2 + -8 = 0

Reorder the terms:
4(1qrst + 1qrst + -1qrstx + qrstx) + x2 + -8 = 0

Combine like terms: 1qrst + 1qrst = 2qrst
4(2qrst + -1qrstx + qrstx) + x2 + -8 = 0

Combine like terms: -1qrstx + qrstx = 0
4(2qrst + 0) + x2 + -8 = 0
4(2qrst) + x2 + -8 = 0

Remove parenthesis around (2qrst)
4 * 2qrst + x2 + -8 = 0

Multiply 4 * 2
8qrst + x2 + -8 = 0

Reorder the terms:
-8 + 8qrst + x2 = 0

Solving
-8 + 8qrst + x2 = 0

Solving for variable 'q'.

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

Add '8' to each side of the equation.
-8 + 8qrst + 8 + x2 = 0 + 8

Reorder the terms:
-8 + 8 + 8qrst + x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 8qrst + x2 = 0 + 8
8qrst + x2 = 0 + 8

Combine like terms: 0 + 8 = 8
8qrst + x2 = 8

Add '-1x2' to each side of the equation.
8qrst + x2 + -1x2 = 8 + -1x2

Combine like terms: x2 + -1x2 = 0
8qrst + 0 = 8 + -1x2
8qrst = 8 + -1x2

Divide each side by '8rst'.
q = r-1s-1t-1 + -0.125r-1s-1t-1x2

Simplifying
q = r-1s-1t-1 + -0.125r-1s-1t-1x2

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