17=-16x^2+6x

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Solution for 17=-16x^2+6x equation:


Simplifying
17 = -16x2 + 6x

Reorder the terms:
17 = 6x + -16x2

Solving
17 = 6x + -16x2

Solving for variable 'x'.

Reorder the terms:
17 + -6x + 16x2 = 6x + -6x + -16x2 + 16x2

Combine like terms: 6x + -6x = 0
17 + -6x + 16x2 = 0 + -16x2 + 16x2
17 + -6x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
17 + -6x + 16x2 = 0

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

Divide each side by '16'.
1.0625 + -0.375x + x2 = 0

Move the constant term to the right:

Add '-1.0625' to each side of the equation.
1.0625 + -0.375x + -1.0625 + x2 = 0 + -1.0625

Reorder the terms:
1.0625 + -1.0625 + -0.375x + x2 = 0 + -1.0625

Combine like terms: 1.0625 + -1.0625 = 0.0000
0.0000 + -0.375x + x2 = 0 + -1.0625
-0.375x + x2 = 0 + -1.0625

Combine like terms: 0 + -1.0625 = -1.0625
-0.375x + x2 = -1.0625

The x term is -0.375x.  Take half its coefficient (-0.1875).
Square it (0.03515625) and add it to both sides.

Add '0.03515625' to each side of the equation.
-0.375x + 0.03515625 + x2 = -1.0625 + 0.03515625

Reorder the terms:
0.03515625 + -0.375x + x2 = -1.0625 + 0.03515625

Combine like terms: -1.0625 + 0.03515625 = -1.02734375
0.03515625 + -0.375x + x2 = -1.02734375

Factor a perfect square on the left side:
(x + -0.1875)(x + -0.1875) = -1.02734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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