16x^2+15x+50=0

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Solution for 16x^2+15x+50=0 equation:


Simplifying
16x2 + 15x + 50 = 0

Reorder the terms:
50 + 15x + 16x2 = 0

Solving
50 + 15x + 16x2 = 0

Solving for variable 'x'.

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

Divide each side by '16'.
3.125 + 0.9375x + x2 = 0

Move the constant term to the right:

Add '-3.125' to each side of the equation.
3.125 + 0.9375x + -3.125 + x2 = 0 + -3.125

Reorder the terms:
3.125 + -3.125 + 0.9375x + x2 = 0 + -3.125

Combine like terms: 3.125 + -3.125 = 0.000
0.000 + 0.9375x + x2 = 0 + -3.125
0.9375x + x2 = 0 + -3.125

Combine like terms: 0 + -3.125 = -3.125
0.9375x + x2 = -3.125

The x term is 0.9375x.  Take half its coefficient (0.46875).
Square it (0.2197265625) and add it to both sides.

Add '0.2197265625' to each side of the equation.
0.9375x + 0.2197265625 + x2 = -3.125 + 0.2197265625

Reorder the terms:
0.2197265625 + 0.9375x + x2 = -3.125 + 0.2197265625

Combine like terms: -3.125 + 0.2197265625 = -2.9052734375
0.2197265625 + 0.9375x + x2 = -2.9052734375

Factor a perfect square on the left side:
(x + 0.46875)(x + 0.46875) = -2.9052734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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