16x^2-22x+112=0

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Solution for 16x^2-22x+112=0 equation: 


Simplifying
16x2 + -22x + 112 = 0

Reorder the terms:
112 + -22x + 16x2 = 0

Solving
112 + -22x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(56 + -11x + 8x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(56 + -11x + 8x2)' equal to zero and attempt to solve:

Simplifying
56 + -11x + 8x2 = 0

Solving
56 + -11x + 8x2 = 0

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

Divide each side by '8'.
7 + -1.375x + x2 = 0

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + -1.375x + -7 + x2 = 0 + -7

Reorder the terms:
7 + -7 + -1.375x + x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1.375x + x2 = 0 + -7
-1.375x + x2 = 0 + -7

Combine like terms: 0 + -7 = -7
-1.375x + x2 = -7

The x term is -1.375x.  Take half its coefficient (-0.6875).
Square it (0.47265625) and add it to both sides.

Add '0.47265625' to each side of the equation.
-1.375x + 0.47265625 + x2 = -7 + 0.47265625

Reorder the terms:
0.47265625 + -1.375x + x2 = -7 + 0.47265625

Combine like terms: -7 + 0.47265625 = -6.52734375
0.47265625 + -1.375x + x2 = -6.52734375

Factor a perfect square on the left side:
(x + -0.6875)(x + -0.6875) = -6.52734375

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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