7x^2-51+14=0

Solution for 7x^2-51+14=0 equation:

Simplifying
7x2 + -51 + 14 = 0

Reorder the terms:
-51 + 14 + 7x2 = 0

Combine like terms: -51 + 14 = -37
-37 + 7x2 = 0

Solving
-37 + 7x2 = 0

Solving for variable 'x'.

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

Add '37' to each side of the equation.
-37 + 37 + 7x2 = 0 + 37

Combine like terms: -37 + 37 = 0
0 + 7x2 = 0 + 37
7x2 = 0 + 37

Combine like terms: 0 + 37 = 37
7x2 = 37

Divide each side by '7'.
x2 = 5.285714286

Simplifying
x2 = 5.285714286

Take the square root of each side:
x = {-2.299068134, 2.299068134}