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Simplifying 1210x2 + -10x = -1200 Reorder the terms: -10x + 1210x2 = -1200 Solving -10x + 1210x2 = -1200 Solving for variable 'x'. Reorder the terms: 1200 + -10x + 1210x2 = -1200 + 1200 Combine like terms: -1200 + 1200 = 0 1200 + -10x + 1210x2 = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(120 + -1x + 121x2) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(120 + -1x + 121x2)' equal to zero and attempt to solve: Simplifying 120 + -1x + 121x2 = 0 Solving 120 + -1x + 121x2 = 0 Begin completing the square. Divide all terms by 121 the coefficient of the squared term: Divide each side by '121'. 0.9917355372 + -0.00826446281x + x2 = 0 Move the constant term to the right: Add '-0.9917355372' to each side of the equation. 0.9917355372 + -0.00826446281x + -0.9917355372 + x2 = 0 + -0.9917355372 Reorder the terms: 0.9917355372 + -0.9917355372 + -0.00826446281x + x2 = 0 + -0.9917355372 Combine like terms: 0.9917355372 + -0.9917355372 = 0.0000000000 0.0000000000 + -0.00826446281x + x2 = 0 + -0.9917355372 -0.00826446281x + x2 = 0 + -0.9917355372 Combine like terms: 0 + -0.9917355372 = -0.9917355372 -0.00826446281x + x2 = -0.9917355372 The x term is -0.00826446281x. Take half its coefficient (-0.004132231405). Square it (0.00001707533638) and add it to both sides. Add '0.00001707533638' to each side of the equation. -0.00826446281x + 0.00001707533638 + x2 = -0.9917355372 + 0.00001707533638 Reorder the terms: 0.00001707533638 + -0.00826446281x + x2 = -0.9917355372 + 0.00001707533638 Combine like terms: -0.9917355372 + 0.00001707533638 = -0.99171846186362 0.00001707533638 + -0.00826446281x + x2 = -0.99171846186362 Factor a perfect square on the left side: (x + -0.004132231405)(x + -0.004132231405) = -0.99171846186362 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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