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Simplifying 10000x2 + 52816x + 28838340 = 0 Reorder the terms: 28838340 + 52816x + 10000x2 = 0 Solving 28838340 + 52816x + 10000x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(7209585 + 13204x + 2500x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(7209585 + 13204x + 2500x2)' equal to zero and attempt to solve: Simplifying 7209585 + 13204x + 2500x2 = 0 Solving 7209585 + 13204x + 2500x2 = 0 Begin completing the square. Divide all terms by 2500 the coefficient of the squared term: Divide each side by '2500'. 2883.834 + 5.2816x + x2 = 0.00 Move the constant term to the right: Add '-2883.834' to each side of the equation. 2883.834 + 5.2816x + -2883.834 + x2 = 0.00 + -2883.834 Reorder the terms: 2883.834 + -2883.834 + 5.2816x + x2 = 0.00 + -2883.834 Combine like terms: 2883.834 + -2883.834 = 0.000 0.000 + 5.2816x + x2 = 0.00 + -2883.834 5.2816x + x2 = 0.00 + -2883.834 Combine like terms: 0.00 + -2883.834 = -2883.834 5.2816x + x2 = -2883.834 The x term is 5.2816x. Take half its coefficient (2.6408). Square it (6.97382464) and add it to both sides. Add '6.97382464' to each side of the equation. 5.2816x + 6.97382464 + x2 = -2883.834 + 6.97382464 Reorder the terms: 6.97382464 + 5.2816x + x2 = -2883.834 + 6.97382464 Combine like terms: -2883.834 + 6.97382464 = -2876.86017536 6.97382464 + 5.2816x + x2 = -2876.86017536 Factor a perfect square on the left side: (x + 2.6408)(x + 2.6408) = -2876.86017536 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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