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Simplifying 186x + -2x2 = 83800 Solving 186x + -2x2 = 83800 Solving for variable 'x'. Reorder the terms: -83800 + 186x + -2x2 = 83800 + -83800 Combine like terms: 83800 + -83800 = 0 -83800 + 186x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-41900 + 93x + -1x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-41900 + 93x + -1x2)' equal to zero and attempt to solve: Simplifying -41900 + 93x + -1x2 = 0 Solving -41900 + 93x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 41900 + -93x + x2 = 0 Move the constant term to the right: Add '-41900' to each side of the equation. 41900 + -93x + -41900 + x2 = 0 + -41900 Reorder the terms: 41900 + -41900 + -93x + x2 = 0 + -41900 Combine like terms: 41900 + -41900 = 0 0 + -93x + x2 = 0 + -41900 -93x + x2 = 0 + -41900 Combine like terms: 0 + -41900 = -41900 -93x + x2 = -41900 The x term is -93x. Take half its coefficient (-46.5). Square it (2162.25) and add it to both sides. Add '2162.25' to each side of the equation. -93x + 2162.25 + x2 = -41900 + 2162.25 Reorder the terms: 2162.25 + -93x + x2 = -41900 + 2162.25 Combine like terms: -41900 + 2162.25 = -39737.75 2162.25 + -93x + x2 = -39737.75 Factor a perfect square on the left side: (x + -46.5)(x + -46.5) = -39737.75 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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