-8y^2-5y-1=0

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Solution for -8y^2-5y-1=0 equation:


Simplifying
-8y2 + -5y + -1 = 0

Reorder the terms:
-1 + -5y + -8y2 = 0

Solving
-1 + -5y + -8y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(1 + 5y + 8y2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(1 + 5y + 8y2)' equal to zero and attempt to solve: Simplifying 1 + 5y + 8y2 = 0 Solving 1 + 5y + 8y2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.125 + 0.625y + y2 = 0 Move the constant term to the right: Add '-0.125' to each side of the equation. 0.125 + 0.625y + -0.125 + y2 = 0 + -0.125 Reorder the terms: 0.125 + -0.125 + 0.625y + y2 = 0 + -0.125 Combine like terms: 0.125 + -0.125 = 0.000 0.000 + 0.625y + y2 = 0 + -0.125 0.625y + y2 = 0 + -0.125 Combine like terms: 0 + -0.125 = -0.125 0.625y + y2 = -0.125 The y term is 0.625y. 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. 0.625y + 0.09765625 + y2 = -0.125 + 0.09765625 Reorder the terms: 0.09765625 + 0.625y + y2 = -0.125 + 0.09765625 Combine like terms: -0.125 + 0.09765625 = -0.02734375 0.09765625 + 0.625y + y2 = -0.02734375 Factor a perfect square on the left side: (y + 0.3125)(y + 0.3125) = -0.02734375 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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