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Simplifying 26x2 + 370x + 23700 = 0 Reorder the terms: 23700 + 370x + 26x2 = 0 Solving 23700 + 370x + 26x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(11850 + 185x + 13x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(11850 + 185x + 13x2)' equal to zero and attempt to solve: Simplifying 11850 + 185x + 13x2 = 0 Solving 11850 + 185x + 13x2 = 0 Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 911.5384615 + 14.23076923x + x2 = 0 Move the constant term to the right: Add '-911.5384615' to each side of the equation. 911.5384615 + 14.23076923x + -911.5384615 + x2 = 0 + -911.5384615 Reorder the terms: 911.5384615 + -911.5384615 + 14.23076923x + x2 = 0 + -911.5384615 Combine like terms: 911.5384615 + -911.5384615 = 0.0000000 0.0000000 + 14.23076923x + x2 = 0 + -911.5384615 14.23076923x + x2 = 0 + -911.5384615 Combine like terms: 0 + -911.5384615 = -911.5384615 14.23076923x + x2 = -911.5384615 The x term is 14.23076923x. Take half its coefficient (7.115384615). Square it (50.62869822) and add it to both sides. Add '50.62869822' to each side of the equation. 14.23076923x + 50.62869822 + x2 = -911.5384615 + 50.62869822 Reorder the terms: 50.62869822 + 14.23076923x + x2 = -911.5384615 + 50.62869822 Combine like terms: -911.5384615 + 50.62869822 = -860.90976328 50.62869822 + 14.23076923x + x2 = -860.90976328 Factor a perfect square on the left side: (x + 7.115384615)(x + 7.115384615) = -860.90976328 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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