Solve for x 4x^2+28x+49=0

4 x^2 + 28 x + 49 = 0

Divide both sides by 4:

x^2 + 7 x + 49/4 = 0

Write the left hand side as a square:

(x + 7/2) ^2 = 0

Take the square root of both sides:

x + 7/2 = 0

Subtract 7/2 from both sides:

Answer: x = - 7/2