2*x^2+3=x^2+28

Solution for 2*x^2+3=x^2+28 equation:

Simplifying
2x2 + 3 = x2 + 28

Reorder the terms:
3 + 2x2 = x2 + 28

Reorder the terms:
3 + 2x2 = 28 + x2

Solving
3 + 2x2 = 28 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
3 + 2x2 + -1x2 = 28 + x2 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
3 + 1x2 = 28 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3 + 1x2 = 28 + 0
3 + 1x2 = 28

Add '-3' to each side of the equation.
3 + -3 + 1x2 = 28 + -3

Combine like terms: 3 + -3 = 0
0 + 1x2 = 28 + -3
1x2 = 28 + -3

Combine like terms: 28 + -3 = 25
1x2 = 25

Divide each side by '1'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}