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Simplifying x + -99999 = 909090 + 32x + 12(x * x) Reorder the terms: -99999 + x = 909090 + 32x + 12(x * x) Multiply x * x -99999 + x = 909090 + 32x + 12(x2) Solving -99999 + x = 909090 + 32x + 12x2 Solving for variable 'x'. Reorder the terms: -99999 + -909090 + x + -32x + -12x2 = 909090 + 32x + 12x2 + -909090 + -32x + -12x2 Combine like terms: -99999 + -909090 = -1009089 -1009089 + x + -32x + -12x2 = 909090 + 32x + 12x2 + -909090 + -32x + -12x2 Combine like terms: x + -32x = -31x -1009089 + -31x + -12x2 = 909090 + 32x + 12x2 + -909090 + -32x + -12x2 Reorder the terms: -1009089 + -31x + -12x2 = 909090 + -909090 + 32x + -32x + 12x2 + -12x2 Combine like terms: 909090 + -909090 = 0 -1009089 + -31x + -12x2 = 0 + 32x + -32x + 12x2 + -12x2 -1009089 + -31x + -12x2 = 32x + -32x + 12x2 + -12x2 Combine like terms: 32x + -32x = 0 -1009089 + -31x + -12x2 = 0 + 12x2 + -12x2 -1009089 + -31x + -12x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -1009089 + -31x + -12x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(1009089 + 31x + 12x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1009089 + 31x + 12x2)' equal to zero and attempt to solve: Simplifying 1009089 + 31x + 12x2 = 0 Solving 1009089 + 31x + 12x2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 84090.75 + 2.583333333x + x2 = 0 Move the constant term to the right: Add '-84090.75' to each side of the equation. 84090.75 + 2.583333333x + -84090.75 + x2 = 0 + -84090.75 Reorder the terms: 84090.75 + -84090.75 + 2.583333333x + x2 = 0 + -84090.75 Combine like terms: 84090.75 + -84090.75 = 0.00 0.00 + 2.583333333x + x2 = 0 + -84090.75 2.583333333x + x2 = 0 + -84090.75 Combine like terms: 0 + -84090.75 = -84090.75 2.583333333x + x2 = -84090.75 The x term is 2.583333333x. Take half its coefficient (1.291666667). Square it (1.668402779) and add it to both sides. Add '1.668402779' to each side of the equation. 2.583333333x + 1.668402779 + x2 = -84090.75 + 1.668402779 Reorder the terms: 1.668402779 + 2.583333333x + x2 = -84090.75 + 1.668402779 Combine like terms: -84090.75 + 1.668402779 = -84089.081597221 1.668402779 + 2.583333333x + x2 = -84089.081597221 Factor a perfect square on the left side: (x + 1.291666667)(x + 1.291666667) = -84089.081597221 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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