16x^2-17x-(-12)=0

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Solution for 16x^2-17x-(-12)=0 equation:


Simplifying
16x2 + -17x + -1(-12) = 0

Multiply -1 * -12
16x2 + -17x + 12 = 0

Reorder the terms:
12 + -17x + 16x2 = 0

Solving
12 + -17x + 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'.
0.75 + -1.0625x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -1.0625x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -1.0625x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -1.0625x + x2 = 0 + -0.75
-1.0625x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-1.0625x + x2 = -0.75

The x term is -1.0625x.  Take half its coefficient (-0.53125).
Square it (0.2822265625) and add it to both sides.

Add '0.2822265625' to each side of the equation.
-1.0625x + 0.2822265625 + x2 = -0.75 + 0.2822265625

Reorder the terms:
0.2822265625 + -1.0625x + x2 = -0.75 + 0.2822265625

Combine like terms: -0.75 + 0.2822265625 = -0.4677734375
0.2822265625 + -1.0625x + x2 = -0.4677734375

Factor a perfect square on the left side:
(x + -0.53125)(x + -0.53125) = -0.4677734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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