49x^2+101x=-67

Solution for 49x^2+101x=-67 equation:

Simplifying
49x2 + 101x = -67

Reorder the terms:
101x + 49x2 = -67

Solving
101x + 49x2 = -67

Solving for variable 'x'.

Reorder the terms:
67 + 101x + 49x2 = -67 + 67

Combine like terms: -67 + 67 = 0
67 + 101x + 49x2 = 0

Begin completing the square.  Divide all terms by
49 the coefficient of the squared term: 

Divide each side by '49'.
1.367346939 + 2.06122449x + x2 = 0

Move the constant term to the right:

Add '-1.367346939' to each side of the equation.
1.367346939 + 2.06122449x + -1.367346939 + x2 = 0 + -1.367346939

Reorder the terms:
1.367346939 + -1.367346939 + 2.06122449x + x2 = 0 + -1.367346939

Combine like terms: 1.367346939 + -1.367346939 = 0.000000000
0.000000000 + 2.06122449x + x2 = 0 + -1.367346939
2.06122449x + x2 = 0 + -1.367346939

Combine like terms: 0 + -1.367346939 = -1.367346939
2.06122449x + x2 = -1.367346939

The x term is 2.06122449x.  Take half its coefficient (1.030612245).
Square it (1.062161600) and add it to both sides.

Add '1.062161600' to each side of the equation.
2.06122449x + 1.062161600 + x2 = -1.367346939 + 1.062161600

Reorder the terms:
1.062161600 + 2.06122449x + x2 = -1.367346939 + 1.062161600

Combine like terms: -1.367346939 + 1.062161600 = -0.305185339
1.062161600 + 2.06122449x + x2 = -0.305185339

Factor a perfect square on the left side:
(x + 1.030612245)(x + 1.030612245) = -0.305185339

Can't calculate square root of the right side.

The solution to this equation could not be determined.