5x^2+11-42=0

Solution for 5x^2+11-42=0 equation:

Simplifying
5x2 + 11 + -42 = 0

Reorder the terms:
11 + -42 + 5x2 = 0

Combine like terms: 11 + -42 = -31
-31 + 5x2 = 0

Solving
-31 + 5x2 = 0

Solving for variable 'x'.

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

Add '31' to each side of the equation.
-31 + 31 + 5x2 = 0 + 31

Combine like terms: -31 + 31 = 0
0 + 5x2 = 0 + 31
5x2 = 0 + 31

Combine like terms: 0 + 31 = 31
5x2 = 31

Divide each side by '5'.
x2 = 6.2

Simplifying
x2 = 6.2

Take the square root of each side:
x = {-2.48997992, 2.48997992}