14x^2-49+42=0

Solution for 14x^2-49+42=0 equation:

Simplifying
14x2 + -49 + 42 = 0

Reorder the terms:
-49 + 42 + 14x2 = 0

Combine like terms: -49 + 42 = -7
-7 + 14x2 = 0

Solving
-7 + 14x2 = 0

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 14x2 = 0 + 7

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

Combine like terms: 0 + 7 = 7
14x2 = 7

Divide each side by '14'.
x2 = 0.5

Simplifying
x2 = 0.5

Take the square root of each side:
x = {-0.707106781, 0.707106781}