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Simplifying -2x2 + 14x + -26 = 0 Reorder the terms: -26 + 14x + -2x2 = 0 Solving -26 + 14x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-13 + 7x + -1x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-13 + 7x + -1x2)' equal to zero and attempt to solve: Simplifying -13 + 7x + -1x2 = 0 Solving -13 + 7x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 13 + -7x + x2 = 0 Move the constant term to the right: Add '-13' to each side of the equation. 13 + -7x + -13 + x2 = 0 + -13 Reorder the terms: 13 + -13 + -7x + x2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -7x + x2 = 0 + -13 -7x + x2 = 0 + -13 Combine like terms: 0 + -13 = -13 -7x + x2 = -13 The x term is -7x. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7x + 12.25 + x2 = -13 + 12.25 Reorder the terms: 12.25 + -7x + x2 = -13 + 12.25 Combine like terms: -13 + 12.25 = -0.75 12.25 + -7x + x2 = -0.75 Factor a perfect square on the left side: (x + -3.5)(x + -3.5) = -0.75 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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