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Simplifying 5292x2 + -19292x + 29203 = 9283 Reorder the terms: 29203 + -19292x + 5292x2 = 9283 Solving 29203 + -19292x + 5292x2 = 9283 Solving for variable 'x'. Reorder the terms: 29203 + -9283 + -19292x + 5292x2 = 9283 + -9283 Combine like terms: 29203 + -9283 = 19920 19920 + -19292x + 5292x2 = 9283 + -9283 Combine like terms: 9283 + -9283 = 0 19920 + -19292x + 5292x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(4980 + -4823x + 1323x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(4980 + -4823x + 1323x2)' equal to zero and attempt to solve: Simplifying 4980 + -4823x + 1323x2 = 0 Solving 4980 + -4823x + 1323x2 = 0 Begin completing the square. Divide all terms by 1323 the coefficient of the squared term: Divide each side by '1323'. 3.764172336 + -3.645502646x + x2 = 0 Move the constant term to the right: Add '-3.764172336' to each side of the equation. 3.764172336 + -3.645502646x + -3.764172336 + x2 = 0 + -3.764172336 Reorder the terms: 3.764172336 + -3.764172336 + -3.645502646x + x2 = 0 + -3.764172336 Combine like terms: 3.764172336 + -3.764172336 = 0.000000000 0.000000000 + -3.645502646x + x2 = 0 + -3.764172336 -3.645502646x + x2 = 0 + -3.764172336 Combine like terms: 0 + -3.764172336 = -3.764172336 -3.645502646x + x2 = -3.764172336 The x term is -3.645502646x. Take half its coefficient (-1.822751323). Square it (3.322422386) and add it to both sides. Add '3.322422386' to each side of the equation. -3.645502646x + 3.322422386 + x2 = -3.764172336 + 3.322422386 Reorder the terms: 3.322422386 + -3.645502646x + x2 = -3.764172336 + 3.322422386 Combine like terms: -3.764172336 + 3.322422386 = -0.44174995 3.322422386 + -3.645502646x + x2 = -0.44174995 Factor a perfect square on the left side: (x + -1.822751323)(x + -1.822751323) = -0.44174995 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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