49x^2-56x+2009=0

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Solution for 49x^2-56x+2009=0 equation:


Simplifying
49x2 + -56x + 2009 = 0

Reorder the terms:
2009 + -56x + 49x2 = 0

Solving
2009 + -56x + 49x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(287 + -8x + 7x2) = 0

Ignore the factor 7.

Subproblem 1

Set the factor '(287 + -8x + 7x2)' equal to zero and attempt to solve: Simplifying 287 + -8x + 7x2 = 0 Solving 287 + -8x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 41 + -1.142857143x + x2 = 0 Move the constant term to the right: Add '-41' to each side of the equation. 41 + -1.142857143x + -41 + x2 = 0 + -41 Reorder the terms: 41 + -41 + -1.142857143x + x2 = 0 + -41 Combine like terms: 41 + -41 = 0 0 + -1.142857143x + x2 = 0 + -41 -1.142857143x + x2 = 0 + -41 Combine like terms: 0 + -41 = -41 -1.142857143x + x2 = -41 The x term is -1.142857143x. Take half its coefficient (-0.5714285715). Square it (0.3265306123) and add it to both sides. Add '0.3265306123' to each side of the equation. -1.142857143x + 0.3265306123 + x2 = -41 + 0.3265306123 Reorder the terms: 0.3265306123 + -1.142857143x + x2 = -41 + 0.3265306123 Combine like terms: -41 + 0.3265306123 = -40.6734693877 0.3265306123 + -1.142857143x + x2 = -40.6734693877 Factor a perfect square on the left side: (x + -0.5714285715)(x + -0.5714285715) = -40.6734693877 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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