114=7x^2+3

Solution for 114=7x^2+3 equation:

Simplifying
114 = 7x2 + 3

Reorder the terms:
114 = 3 + 7x2

Solving
114 = 3 + 7x2

Solving for variable 'x'.

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

Add '-7x2' to each side of the equation.
114 + -7x2 = 3 + 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
114 + -7x2 = 3 + 0
114 + -7x2 = 3

Add '-114' to each side of the equation.
114 + -114 + -7x2 = 3 + -114

Combine like terms: 114 + -114 = 0
0 + -7x2 = 3 + -114
-7x2 = 3 + -114

Combine like terms: 3 + -114 = -111
-7x2 = -111

Divide each side by '-7'.
x2 = 15.85714286

Simplifying
x2 = 15.85714286

Take the square root of each side:
x = {-3.982102819, 3.982102819}