4x^2-56+42=0

Solution for 4x^2-56+42=0 equation:

Simplifying
4x2 + -56 + 42 = 0

Reorder the terms:
-56 + 42 + 4x2 = 0

Combine like terms: -56 + 42 = -14
-14 + 4x2 = 0

Solving
-14 + 4x2 = 0

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 4x2 = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 4x2 = 0 + 14
4x2 = 0 + 14

Combine like terms: 0 + 14 = 14
4x2 = 14

Divide each side by '4'.
x2 = 3.5

Simplifying
x2 = 3.5

Take the square root of each side:
x = {-1.870828693, 1.870828693}