7x^2+6=45

Solution for 7x^2+6=45 equation:

Simplifying
7x2 + 6 = 45

Reorder the terms:
6 + 7x2 = 45

Solving
6 + 7x2 = 45

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 7x2 = 45 + -6

Combine like terms: 6 + -6 = 0
0 + 7x2 = 45 + -6
7x2 = 45 + -6

Combine like terms: 45 + -6 = 39
7x2 = 39

Divide each side by '7'.
x2 = 5.571428571

Simplifying
x2 = 5.571428571

Take the square root of each side:
x = {-2.360387377, 2.360387377}