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Simplifying 200x2 + -10x + 2 = 0 Reorder the terms: 2 + -10x + 200x2 = 0 Solving 2 + -10x + 200x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(1 + -5x + 100x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -5x + 100x2)' equal to zero and attempt to solve: Simplifying 1 + -5x + 100x2 = 0 Solving 1 + -5x + 100x2 = 0 Begin completing the square. Divide all terms by 100 the coefficient of the squared term: Divide each side by '100'. 0.01 + -0.05x + x2 = 0.00 Move the constant term to the right: Add '-0.01' to each side of the equation. 0.01 + -0.05x + -0.01 + x2 = 0.00 + -0.01 Reorder the terms: 0.01 + -0.01 + -0.05x + x2 = 0.00 + -0.01 Combine like terms: 0.01 + -0.01 = 0.00 0.00 + -0.05x + x2 = 0.00 + -0.01 -0.05x + x2 = 0.00 + -0.01 Combine like terms: 0.00 + -0.01 = -0.01 -0.05x + x2 = -0.01 The x term is -0.05x. Take half its coefficient (-0.025). Square it (0.000625) and add it to both sides. Add '0.000625' to each side of the equation. -0.05x + 0.000625 + x2 = -0.01 + 0.000625 Reorder the terms: 0.000625 + -0.05x + x2 = -0.01 + 0.000625 Combine like terms: -0.01 + 0.000625 = -0.009375 0.000625 + -0.05x + x2 = -0.009375 Factor a perfect square on the left side: (x + -0.025)(x + -0.025) = -0.009375 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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