2(x^2-5)=-x^2-1

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Solution for 2(x^2-5)=-x^2-1 equation: 


Simplifying
2(x2 + -5) = -1x2 + -1

Reorder the terms:
2(-5 + x2) = -1x2 + -1
(-5 * 2 + x2 * 2) = -1x2 + -1
(-10 + 2x2) = -1x2 + -1

Reorder the terms:
-10 + 2x2 = -1 + -1x2

Solving
-10 + 2x2 = -1 + -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.
-10 + 2x2 + x2 = -1 + -1x2 + x2

Combine like terms: 2x2 + x2 = 3x2
-10 + 3x2 = -1 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-10 + 3x2 = -1 + 0
-10 + 3x2 = -1

Add '10' to each side of the equation.
-10 + 10 + 3x2 = -1 + 10

Combine like terms: -10 + 10 = 0
0 + 3x2 = -1 + 10
3x2 = -1 + 10

Combine like terms: -1 + 10 = 9
3x2 = 9

Divide each side by '3'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}

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