16x^2-28x+28x-49=0

Solution for 16x^2-28x+28x-49=0 equation:

Simplifying
16x2 + -28x + 28x + -49 = 0

Reorder the terms:
-49 + -28x + 28x + 16x2 = 0

Combine like terms: -28x + 28x = 0
-49 + 0 + 16x2 = 0
-49 + 16x2 = 0

Solving
-49 + 16x2 = 0

Solving for variable 'x'.

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

Add '49' to each side of the equation.
-49 + 49 + 16x2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 16x2 = 0 + 49
16x2 = 0 + 49

Combine like terms: 0 + 49 = 49
16x2 = 49

Divide each side by '16'.
x2 = 3.0625

Simplifying
x2 = 3.0625

Take the square root of each side:
x = {-1.75, 1.75}