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Simplifying -4x2 + 1320x + -19800 = 91000 Reorder the terms: -19800 + 1320x + -4x2 = 91000 Solving -19800 + 1320x + -4x2 = 91000 Solving for variable 'x'. Reorder the terms: -19800 + -91000 + 1320x + -4x2 = 91000 + -91000 Combine like terms: -19800 + -91000 = -110800 -110800 + 1320x + -4x2 = 91000 + -91000 Combine like terms: 91000 + -91000 = 0 -110800 + 1320x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-27700 + 330x + -1x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-27700 + 330x + -1x2)' equal to zero and attempt to solve: Simplifying -27700 + 330x + -1x2 = 0 Solving -27700 + 330x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 27700 + -330x + x2 = 0 Move the constant term to the right: Add '-27700' to each side of the equation. 27700 + -330x + -27700 + x2 = 0 + -27700 Reorder the terms: 27700 + -27700 + -330x + x2 = 0 + -27700 Combine like terms: 27700 + -27700 = 0 0 + -330x + x2 = 0 + -27700 -330x + x2 = 0 + -27700 Combine like terms: 0 + -27700 = -27700 -330x + x2 = -27700 The x term is -330x. Take half its coefficient (-165). Square it (27225) and add it to both sides. Add '27225' to each side of the equation. -330x + 27225 + x2 = -27700 + 27225 Reorder the terms: 27225 + -330x + x2 = -27700 + 27225 Combine like terms: -27700 + 27225 = -475 27225 + -330x + x2 = -475 Factor a perfect square on the left side: (x + -165)(x + -165) = -475 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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