(5x^2+8)-(11x^2-3)=

Solution for (5x^2+8)-(11x^2-3)= equation:

Simplifying
(5x2 + 8) + -1(11x2 + -3) = 0

Reorder the terms:
(8 + 5x2) + -1(11x2 + -3) = 0

Remove parenthesis around (8 + 5x2)
8 + 5x2 + -1(11x2 + -3) = 0

Reorder the terms:
8 + 5x2 + -1(-3 + 11x2) = 0
8 + 5x2 + (-3 * -1 + 11x2 * -1) = 0
8 + 5x2 + (3 + -11x2) = 0

Reorder the terms:
8 + 3 + 5x2 + -11x2 = 0

Combine like terms: 8 + 3 = 11
11 + 5x2 + -11x2 = 0

Combine like terms: 5x2 + -11x2 = -6x2
11 + -6x2 = 0

Solving
11 + -6x2 = 0

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + -6x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -6x2 = 0 + -11
-6x2 = 0 + -11

Combine like terms: 0 + -11 = -11
-6x2 = -11

Divide each side by '-6'.
x2 = 1.833333333

Simplifying
x2 = 1.833333333

Take the square root of each side:
x = {-1.354006401, 1.354006401}