-10x^2-16x-62=0

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Solution for -10x^2-16x-62=0 equation: 


Simplifying
-10x2 + -16x + -62 = 0

Reorder the terms:
-62 + -16x + -10x2 = 0

Solving
-62 + -16x + -10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(31 + 8x + 5x2) = 0

Ignore the factor -2.

Subproblem 1
Set the factor '(31 + 8x + 5x2)' equal to zero and attempt to solve:

Simplifying
31 + 8x + 5x2 = 0

Solving
31 + 8x + 5x2 = 0

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

Divide each side by '5'.
6.2 + 1.6x + x2 = 0

Move the constant term to the right:

Add '-6.2' to each side of the equation.
6.2 + 1.6x + -6.2 + x2 = 0 + -6.2

Reorder the terms:
6.2 + -6.2 + 1.6x + x2 = 0 + -6.2

Combine like terms: 6.2 + -6.2 = 0.0
0.0 + 1.6x + x2 = 0 + -6.2
1.6x + x2 = 0 + -6.2

Combine like terms: 0 + -6.2 = -6.2
1.6x + x2 = -6.2

The x term is 1.6x.  Take half its coefficient (0.8).
Square it (0.64) and add it to both sides.

Add '0.64' to each side of the equation.
1.6x + 0.64 + x2 = -6.2 + 0.64

Reorder the terms:
0.64 + 1.6x + x2 = -6.2 + 0.64

Combine like terms: -6.2 + 0.64 = -5.56
0.64 + 1.6x + x2 = -5.56

Factor a perfect square on the left side:
(x + 0.8)(x + 0.8) = -5.56

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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