20x^2+10x+20=0

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Solution for 20x^2+10x+20=0 equation:


Simplifying
20x2 + 10x + 20 = 0

Reorder the terms:
20 + 10x + 20x2 = 0

Solving
20 + 10x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10'.
10(2 + x + 2x2) = 0

Ignore the factor 10.

Subproblem 1

Set the factor '(2 + x + 2x2)' equal to zero and attempt to solve: Simplifying 2 + x + 2x2 = 0 Solving 2 + x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 1 + 0.5x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 0.5x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 0.5x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.5x + x2 = 0 + -1 0.5x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 0.5x + x2 = -1 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. 0.5x + 0.25 + x2 = -1 + 0.25 Reorder the terms: 0.25 + 0.5x + x2 = -1 + 0.25 Combine like terms: -1 + 0.25 = -0.75 0.25 + 0.5x + x2 = -0.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -0.75 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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