-16x^2+10x-290=0

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Solution for -16x^2+10x-290=0 equation: 


Simplifying
-16x2 + 10x + -290 = 0

Reorder the terms:
-290 + 10x + -16x2 = 0

Solving
-290 + 10x + -16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-145 + 5x + -8x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-145 + 5x + -8x2)' equal to zero and attempt to solve:

Simplifying
-145 + 5x + -8x2 = 0

Solving
-145 + 5x + -8x2 = 0

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

Divide each side by '-8'.
18.125 + -0.625x + x2 = 0

Move the constant term to the right:

Add '-18.125' to each side of the equation.
18.125 + -0.625x + -18.125 + x2 = 0 + -18.125

Reorder the terms:
18.125 + -18.125 + -0.625x + x2 = 0 + -18.125

Combine like terms: 18.125 + -18.125 = 0.000
0.000 + -0.625x + x2 = 0 + -18.125
-0.625x + x2 = 0 + -18.125

Combine like terms: 0 + -18.125 = -18.125
-0.625x + x2 = -18.125

The x term is -0.625x.  Take half its coefficient (-0.3125).
Square it (0.09765625) and add it to both sides.

Add '0.09765625' to each side of the equation.
-0.625x + 0.09765625 + x2 = -18.125 + 0.09765625

Reorder the terms:
0.09765625 + -0.625x + x2 = -18.125 + 0.09765625

Combine like terms: -18.125 + 0.09765625 = -18.02734375
0.09765625 + -0.625x + x2 = -18.02734375

Factor a perfect square on the left side:
(x + -0.3125)(x + -0.3125) = -18.02734375

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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