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Simplifying 50x2 + -24x + 26 = 0 Reorder the terms: 26 + -24x + 50x2 = 0 Solving 26 + -24x + 50x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(13 + -12x + 25x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(13 + -12x + 25x2)' equal to zero and attempt to solve: Simplifying 13 + -12x + 25x2 = 0 Solving 13 + -12x + 25x2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.52 + -0.48x + x2 = 0 Move the constant term to the right: Add '-0.52' to each side of the equation. 0.52 + -0.48x + -0.52 + x2 = 0 + -0.52 Reorder the terms: 0.52 + -0.52 + -0.48x + x2 = 0 + -0.52 Combine like terms: 0.52 + -0.52 = 0.00 0.00 + -0.48x + x2 = 0 + -0.52 -0.48x + x2 = 0 + -0.52 Combine like terms: 0 + -0.52 = -0.52 -0.48x + x2 = -0.52 The x term is -0.48x. Take half its coefficient (-0.24). Square it (0.0576) and add it to both sides. Add '0.0576' to each side of the equation. -0.48x + 0.0576 + x2 = -0.52 + 0.0576 Reorder the terms: 0.0576 + -0.48x + x2 = -0.52 + 0.0576 Combine like terms: -0.52 + 0.0576 = -0.4624 0.0576 + -0.48x + x2 = -0.4624 Factor a perfect square on the left side: (x + -0.24)(x + -0.24) = -0.4624 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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