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Simplifying 3900x + -15500 + -495x2 = 0 Reorder the terms: -15500 + 3900x + -495x2 = 0 Solving -15500 + 3900x + -495x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(-3100 + 780x + -99x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-3100 + 780x + -99x2)' equal to zero and attempt to solve: Simplifying -3100 + 780x + -99x2 = 0 Solving -3100 + 780x + -99x2 = 0 Begin completing the square. Divide all terms by -99 the coefficient of the squared term: Divide each side by '-99'. 31.31313131 + -7.878787879x + x2 = 0 Move the constant term to the right: Add '-31.31313131' to each side of the equation. 31.31313131 + -7.878787879x + -31.31313131 + x2 = 0 + -31.31313131 Reorder the terms: 31.31313131 + -31.31313131 + -7.878787879x + x2 = 0 + -31.31313131 Combine like terms: 31.31313131 + -31.31313131 = 0.00000000 0.00000000 + -7.878787879x + x2 = 0 + -31.31313131 -7.878787879x + x2 = 0 + -31.31313131 Combine like terms: 0 + -31.31313131 = -31.31313131 -7.878787879x + x2 = -31.31313131 The x term is -7.878787879x. Take half its coefficient (-3.93939394). Square it (15.51882461) and add it to both sides. Add '15.51882461' to each side of the equation. -7.878787879x + 15.51882461 + x2 = -31.31313131 + 15.51882461 Reorder the terms: 15.51882461 + -7.878787879x + x2 = -31.31313131 + 15.51882461 Combine like terms: -31.31313131 + 15.51882461 = -15.7943067 15.51882461 + -7.878787879x + x2 = -15.7943067 Factor a perfect square on the left side: (x + -3.93939394)(x + -3.93939394) = -15.7943067 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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