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Simplifying 20x2 + 6x + 666 = 0 Reorder the terms: 666 + 6x + 20x2 = 0 Solving 666 + 6x + 20x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(333 + 3x + 10x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(333 + 3x + 10x2)' equal to zero and attempt to solve: Simplifying 333 + 3x + 10x2 = 0 Solving 333 + 3x + 10x2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 33.3 + 0.3x + x2 = 0.0 Move the constant term to the right: Add '-33.3' to each side of the equation. 33.3 + 0.3x + -33.3 + x2 = 0.0 + -33.3 Reorder the terms: 33.3 + -33.3 + 0.3x + x2 = 0.0 + -33.3 Combine like terms: 33.3 + -33.3 = 0.0 0.0 + 0.3x + x2 = 0.0 + -33.3 0.3x + x2 = 0.0 + -33.3 Combine like terms: 0.0 + -33.3 = -33.3 0.3x + x2 = -33.3 The x term is 0.3x. Take half its coefficient (0.15). Square it (0.0225) and add it to both sides. Add '0.0225' to each side of the equation. 0.3x + 0.0225 + x2 = -33.3 + 0.0225 Reorder the terms: 0.0225 + 0.3x + x2 = -33.3 + 0.0225 Combine like terms: -33.3 + 0.0225 = -33.2775 0.0225 + 0.3x + x2 = -33.2775 Factor a perfect square on the left side: (x + 0.15)(x + 0.15) = -33.2775 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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