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Simplifying 4x2 + -36x + 202 = 0 Reorder the terms: 202 + -36x + 4x2 = 0 Solving 202 + -36x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(101 + -18x + 2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(101 + -18x + 2x2)' equal to zero and attempt to solve: Simplifying 101 + -18x + 2x2 = 0 Solving 101 + -18x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 50.5 + -9x + x2 = 0 Move the constant term to the right: Add '-50.5' to each side of the equation. 50.5 + -9x + -50.5 + x2 = 0 + -50.5 Reorder the terms: 50.5 + -50.5 + -9x + x2 = 0 + -50.5 Combine like terms: 50.5 + -50.5 = 0.0 0.0 + -9x + x2 = 0 + -50.5 -9x + x2 = 0 + -50.5 Combine like terms: 0 + -50.5 = -50.5 -9x + x2 = -50.5 The x term is -9x. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9x + 20.25 + x2 = -50.5 + 20.25 Reorder the terms: 20.25 + -9x + x2 = -50.5 + 20.25 Combine like terms: -50.5 + 20.25 = -30.25 20.25 + -9x + x2 = -30.25 Factor a perfect square on the left side: (x + -4.5)(x + -4.5) = -30.25 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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