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Simplifying 20x2 + -2x + 12 = 0 Reorder the terms: 12 + -2x + 20x2 = 0 Solving 12 + -2x + 20x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(6 + -1x + 10x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6 + -1x + 10x2)' equal to zero and attempt to solve: Simplifying 6 + -1x + 10x2 = 0 Solving 6 + -1x + 10x2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.6 + -0.1x + x2 = 0.0 Move the constant term to the right: Add '-0.6' to each side of the equation. 0.6 + -0.1x + -0.6 + x2 = 0.0 + -0.6 Reorder the terms: 0.6 + -0.6 + -0.1x + x2 = 0.0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -0.1x + x2 = 0.0 + -0.6 -0.1x + x2 = 0.0 + -0.6 Combine like terms: 0.0 + -0.6 = -0.6 -0.1x + x2 = -0.6 The x term is -0.1x. Take half its coefficient (-0.05). Square it (0.0025) and add it to both sides. Add '0.0025' to each side of the equation. -0.1x + 0.0025 + x2 = -0.6 + 0.0025 Reorder the terms: 0.0025 + -0.1x + x2 = -0.6 + 0.0025 Combine like terms: -0.6 + 0.0025 = -0.5975 0.0025 + -0.1x + x2 = -0.5975 Factor a perfect square on the left side: (x + -0.05)(x + -0.05) = -0.5975 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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