10x^2+2x+8=0

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Solution for 10x^2+2x+8=0 equation:


Simplifying
10x2 + 2x + 8 = 0

Reorder the terms:
8 + 2x + 10x2 = 0

Solving
8 + 2x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + x + 5x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(4 + x + 5x2)' equal to zero and attempt to solve: Simplifying 4 + x + 5x2 = 0 Solving 4 + x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.8 + 0.2x + x2 = 0 Move the constant term to the right: Add '-0.8' to each side of the equation. 0.8 + 0.2x + -0.8 + x2 = 0 + -0.8 Reorder the terms: 0.8 + -0.8 + 0.2x + x2 = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.2x + x2 = 0 + -0.8 0.2x + x2 = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 0.2x + x2 = -0.8 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.2x + 0.25 + x2 = -0.8 + 0.25 Reorder the terms: 0.25 + 0.2x + x2 = -0.8 + 0.25 Combine like terms: -0.8 + 0.25 = -0.55 0.25 + 0.2x + x2 = -0.55 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -0.55 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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