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

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

Simplifying
2x2 + 3 = 4x2 + -4

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

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

Solving
3 + 2x2 = -4 + 4x2

Solving for variable 'x'.

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

Add '-4x2' to each side of the equation.
3 + 2x2 + -4x2 = -4 + 4x2 + -4x2

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

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

Add '-3' to each side of the equation.
3 + -3 + -2x2 = -4 + -3

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

Combine like terms: -4 + -3 = -7
-2x2 = -7

Divide each side by '-2'.
x2 = 3.5

Simplifying
x2 = 3.5

Take the square root of each side:
x = {-1.870828693, 1.870828693}