4x^2+3=42

Solution for 4x^2+3=42 equation:

Simplifying
4x2 + 3 = 42

Reorder the terms:
3 + 4x2 = 42

Solving
3 + 4x2 = 42

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 4x2 = 42 + -3

Combine like terms: 3 + -3 = 0
0 + 4x2 = 42 + -3
4x2 = 42 + -3

Combine like terms: 42 + -3 = 39
4x2 = 39

Divide each side by '4'.
x2 = 9.75

Simplifying
x2 = 9.75

Take the square root of each side:
x = {-3.122498999, 3.122498999}