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

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

Simplifying
(x2 + 2) + -1(5x2 + -1) = 0

Reorder the terms:
(2 + x2) + -1(5x2 + -1) = 0

Remove parenthesis around (2 + x2)
2 + x2 + -1(5x2 + -1) = 0

Reorder the terms:
2 + x2 + -1(-1 + 5x2) = 0
2 + x2 + (-1 * -1 + 5x2 * -1) = 0
2 + x2 + (1 + -5x2) = 0

Reorder the terms:
2 + 1 + x2 + -5x2 = 0

Combine like terms: 2 + 1 = 3
3 + x2 + -5x2 = 0

Combine like terms: x2 + -5x2 = -4x2
3 + -4x2 = 0

Solving
3 + -4x2 = 0

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + -4x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x2 = 0 + -3
-4x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-4x2 = -3

Divide each side by '-4'.
x2 = 0.75

Simplifying
x2 = 0.75

Take the square root of each side:
x = {-0.866025404, 0.866025404}