16x^2-27x+12=0

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Solution for 16x^2-27x+12=0 equation:


Simplifying
16x2 + -27x + 12 = 0

Reorder the terms:
12 + -27x + 16x2 = 0

Solving
12 + -27x + 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 + -1.6875x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -1.6875x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -1.6875x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -1.6875x + x2 = 0 + -0.75
-1.6875x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-1.6875x + x2 = -0.75

The x term is -1.6875x.  Take half its coefficient (-0.84375).
Square it (0.7119140625) and add it to both sides.

Add '0.7119140625' to each side of the equation.
-1.6875x + 0.7119140625 + x2 = -0.75 + 0.7119140625

Reorder the terms:
0.7119140625 + -1.6875x + x2 = -0.75 + 0.7119140625

Combine like terms: -0.75 + 0.7119140625 = -0.0380859375
0.7119140625 + -1.6875x + x2 = -0.0380859375

Factor a perfect square on the left side:
(x + -0.84375)(x + -0.84375) = -0.0380859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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