4x^2-7+1=0

Solution for 4x^2-7+1=0 equation:

Simplifying
4x2 + -7 + 1 = 0

Reorder the terms:
-7 + 1 + 4x2 = 0

Combine like terms: -7 + 1 = -6
-6 + 4x2 = 0

Solving
-6 + 4x2 = 0

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 + 4x2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 4x2 = 0 + 6
4x2 = 0 + 6

Combine like terms: 0 + 6 = 6
4x2 = 6

Divide each side by '4'.
x2 = 1.5

Simplifying
x2 = 1.5

Take the square root of each side:
x = {-1.224744871, 1.224744871}