16x^2-40x+34=0

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Solution for 16x^2-40x+34=0 equation: 


Simplifying
16x2 + -40x + 34 = 0

Reorder the terms:
34 + -40x + 16x2 = 0

Solving
34 + -40x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(17 + -20x + 8x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(17 + -20x + 8x2)' equal to zero and attempt to solve:

Simplifying
17 + -20x + 8x2 = 0

Solving
17 + -20x + 8x2 = 0

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

Divide each side by '8'.
2.125 + -2.5x + x2 = 0

Move the constant term to the right:

Add '-2.125' to each side of the equation.
2.125 + -2.5x + -2.125 + x2 = 0 + -2.125

Reorder the terms:
2.125 + -2.125 + -2.5x + x2 = 0 + -2.125

Combine like terms: 2.125 + -2.125 = 0.000
0.000 + -2.5x + x2 = 0 + -2.125
-2.5x + x2 = 0 + -2.125

Combine like terms: 0 + -2.125 = -2.125
-2.5x + x2 = -2.125

The x term is -2.5x.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5x + 1.5625 + x2 = -2.125 + 1.5625

Reorder the terms:
1.5625 + -2.5x + x2 = -2.125 + 1.5625

Combine like terms: -2.125 + 1.5625 = -0.5625
1.5625 + -2.5x + x2 = -0.5625

Factor a perfect square on the left side:
(x + -1.25)(x + -1.25) = -0.5625

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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