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Simplifying 50x2 + -18x + 6 = 0 Reorder the terms: 6 + -18x + 50x2 = 0 Solving 6 + -18x + 50x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(3 + -9x + 25x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -9x + 25x2)' equal to zero and attempt to solve: Simplifying 3 + -9x + 25x2 = 0 Solving 3 + -9x + 25x2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.12 + -0.36x + x2 = 0 Move the constant term to the right: Add '-0.12' to each side of the equation. 0.12 + -0.36x + -0.12 + x2 = 0 + -0.12 Reorder the terms: 0.12 + -0.12 + -0.36x + x2 = 0 + -0.12 Combine like terms: 0.12 + -0.12 = 0.00 0.00 + -0.36x + x2 = 0 + -0.12 -0.36x + x2 = 0 + -0.12 Combine like terms: 0 + -0.12 = -0.12 -0.36x + x2 = -0.12 The x term is -0.36x. Take half its coefficient (-0.18). Square it (0.0324) and add it to both sides. Add '0.0324' to each side of the equation. -0.36x + 0.0324 + x2 = -0.12 + 0.0324 Reorder the terms: 0.0324 + -0.36x + x2 = -0.12 + 0.0324 Combine like terms: -0.12 + 0.0324 = -0.0876 0.0324 + -0.36x + x2 = -0.0876 Factor a perfect square on the left side: (x + -0.18)(x + -0.18) = -0.0876 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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