(4x^2+2)-(2x^2+3)=

Solution for (4x^2+2)-(2x^2+3)= equation:

Simplifying
(4x2 + 2) + -1(2x2 + 3) = 0

Reorder the terms:
(2 + 4x2) + -1(2x2 + 3) = 0

Remove parenthesis around (2 + 4x2)
2 + 4x2 + -1(2x2 + 3) = 0

Reorder the terms:
2 + 4x2 + -1(3 + 2x2) = 0
2 + 4x2 + (3 * -1 + 2x2 * -1) = 0
2 + 4x2 + (-3 + -2x2) = 0

Reorder the terms:
2 + -3 + 4x2 + -2x2 = 0

Combine like terms: 2 + -3 = -1
-1 + 4x2 + -2x2 = 0

Combine like terms: 4x2 + -2x2 = 2x2
-1 + 2x2 = 0

Solving
-1 + 2x2 = 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 + 2x2 = 0 + 1

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

Combine like terms: 0 + 1 = 1
2x2 = 1

Divide each side by '2'.
x2 = 0.5

Simplifying
x2 = 0.5

Take the square root of each side:
x = {-0.707106781, 0.707106781}