-2x^2+7=3

Solution for -2x^2+7=3 equation:

Simplifying
-2x2 + 7 = 3

Reorder the terms:
7 + -2x2 = 3

Solving
7 + -2x2 = 3

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + -2x2 = 3 + -7

Combine like terms: 7 + -7 = 0
0 + -2x2 = 3 + -7
-2x2 = 3 + -7

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

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

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}