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Simplifying 100x2 + -10x + 4 = 0 Reorder the terms: 4 + -10x + 100x2 = 0 Solving 4 + -10x + 100x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(2 + -5x + 50x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -5x + 50x2)' equal to zero and attempt to solve: Simplifying 2 + -5x + 50x2 = 0 Solving 2 + -5x + 50x2 = 0 Begin completing the square. Divide all terms by 50 the coefficient of the squared term: Divide each side by '50'. 0.04 + -0.1x + x2 = 0.0 Move the constant term to the right: Add '-0.04' to each side of the equation. 0.04 + -0.1x + -0.04 + x2 = 0.0 + -0.04 Reorder the terms: 0.04 + -0.04 + -0.1x + x2 = 0.0 + -0.04 Combine like terms: 0.04 + -0.04 = 0.00 0.00 + -0.1x + x2 = 0.0 + -0.04 -0.1x + x2 = 0.0 + -0.04 Combine like terms: 0.0 + -0.04 = -0.04 -0.1x + x2 = -0.04 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 = -0.04 + 0.0025 Reorder the terms: 0.0025 + -0.1x + x2 = -0.04 + 0.0025 Combine like terms: -0.04 + 0.0025 = -0.0375 0.0025 + -0.1x + x2 = -0.0375 Factor a perfect square on the left side: (x + -0.05)(x + -0.05) = -0.0375 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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