0=4x^2-26x+50

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Solution for 0=4x^2-26x+50 equation:


Simplifying
0 = 4x2 + -26x + 50

Reorder the terms:
0 = 50 + -26x + 4x2

Solving
0 = 50 + -26x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + -50 = -50
-50 + 26x + -4x2 = 50 + -26x + 4x2 + -50 + 26x + -4x2

Reorder the terms:
-50 + 26x + -4x2 = 50 + -50 + -26x + 26x + 4x2 + -4x2

Combine like terms: 50 + -50 = 0
-50 + 26x + -4x2 = 0 + -26x + 26x + 4x2 + -4x2
-50 + 26x + -4x2 = -26x + 26x + 4x2 + -4x2

Combine like terms: -26x + 26x = 0
-50 + 26x + -4x2 = 0 + 4x2 + -4x2
-50 + 26x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-50 + 26x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-25 + 13x + -2x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-25 + 13x + -2x2)' equal to zero and attempt to solve: Simplifying -25 + 13x + -2x2 = 0 Solving -25 + 13x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 12.5 + -6.5x + x2 = 0 Move the constant term to the right: Add '-12.5' to each side of the equation. 12.5 + -6.5x + -12.5 + x2 = 0 + -12.5 Reorder the terms: 12.5 + -12.5 + -6.5x + x2 = 0 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + -6.5x + x2 = 0 + -12.5 -6.5x + x2 = 0 + -12.5 Combine like terms: 0 + -12.5 = -12.5 -6.5x + x2 = -12.5 The x term is -6.5x. Take half its coefficient (-3.25). Square it (10.5625) and add it to both sides. Add '10.5625' to each side of the equation. -6.5x + 10.5625 + x2 = -12.5 + 10.5625 Reorder the terms: 10.5625 + -6.5x + x2 = -12.5 + 10.5625 Combine like terms: -12.5 + 10.5625 = -1.9375 10.5625 + -6.5x + x2 = -1.9375 Factor a perfect square on the left side: (x + -3.25)(x + -3.25) = -1.9375 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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