19=2437x^2+5713x+5900

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Solution for 19=2437x^2+5713x+5900 equation:


Simplifying
19 = 2437x2 + 5713x + 5900

Reorder the terms:
19 = 5900 + 5713x + 2437x2

Solving
19 = 5900 + 5713x + 2437x2

Solving for variable 'x'.

Combine like terms: 19 + -5900 = -5881
-5881 + -5713x + -2437x2 = 5900 + 5713x + 2437x2 + -5900 + -5713x + -2437x2

Reorder the terms:
-5881 + -5713x + -2437x2 = 5900 + -5900 + 5713x + -5713x + 2437x2 + -2437x2

Combine like terms: 5900 + -5900 = 0
-5881 + -5713x + -2437x2 = 0 + 5713x + -5713x + 2437x2 + -2437x2
-5881 + -5713x + -2437x2 = 5713x + -5713x + 2437x2 + -2437x2

Combine like terms: 5713x + -5713x = 0
-5881 + -5713x + -2437x2 = 0 + 2437x2 + -2437x2
-5881 + -5713x + -2437x2 = 2437x2 + -2437x2

Combine like terms: 2437x2 + -2437x2 = 0
-5881 + -5713x + -2437x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(5881 + 5713x + 2437x2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(5881 + 5713x + 2437x2)' equal to zero and attempt to solve: Simplifying 5881 + 5713x + 2437x2 = 0 Solving 5881 + 5713x + 2437x2 = 0 Begin completing the square. Divide all terms by 2437 the coefficient of the squared term: Divide each side by '2437'. 2.413212967 + 2.344275749x + x2 = 0 Move the constant term to the right: Add '-2.413212967' to each side of the equation. 2.413212967 + 2.344275749x + -2.413212967 + x2 = 0 + -2.413212967 Reorder the terms: 2.413212967 + -2.413212967 + 2.344275749x + x2 = 0 + -2.413212967 Combine like terms: 2.413212967 + -2.413212967 = 0.000000000 0.000000000 + 2.344275749x + x2 = 0 + -2.413212967 2.344275749x + x2 = 0 + -2.413212967 Combine like terms: 0 + -2.413212967 = -2.413212967 2.344275749x + x2 = -2.413212967 The x term is 2.344275749x. Take half its coefficient (1.172137875). Square it (1.373907198) and add it to both sides. Add '1.373907198' to each side of the equation. 2.344275749x + 1.373907198 + x2 = -2.413212967 + 1.373907198 Reorder the terms: 1.373907198 + 2.344275749x + x2 = -2.413212967 + 1.373907198 Combine like terms: -2.413212967 + 1.373907198 = -1.039305769 1.373907198 + 2.344275749x + x2 = -1.039305769 Factor a perfect square on the left side: (x + 1.172137875)(x + 1.172137875) = -1.039305769 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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