(7X^2-2)-(-X^2-1)=

Solution for (7X^2-2)-(-X^2-1)= equation:

Simplifying
(7X2 + -2) + -1(-1X2 + -1) = 0

Reorder the terms:
(-2 + 7X2) + -1(-1X2 + -1) = 0

Remove parenthesis around (-2 + 7X2)
-2 + 7X2 + -1(-1X2 + -1) = 0

Reorder the terms:
-2 + 7X2 + -1(-1 + -1X2) = 0
-2 + 7X2 + (-1 * -1 + -1X2 * -1) = 0
-2 + 7X2 + (1 + 1X2) = 0

Reorder the terms:
-2 + 1 + 7X2 + 1X2 = 0

Combine like terms: -2 + 1 = -1
-1 + 7X2 + 1X2 = 0

Combine like terms: 7X2 + 1X2 = 8X2
-1 + 8X2 = 0

Solving
-1 + 8X2 = 0

Solving for variable 'X'.

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

Add '1' to each side of the equation.
-1 + 1 + 8X2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 8X2 = 0 + 1
8X2 = 0 + 1

Combine like terms: 0 + 1 = 1
8X2 = 1

Divide each side by '8'.
X2 = 0.125

Simplifying
X2 = 0.125

Take the square root of each side:
X = {-0.353553391, 0.353553391}