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Simplifying 2x(3 + -1x) = 26 (3 * 2x + -1x * 2x) = 26 (6x + -2x2) = 26 Solving 6x + -2x2 = 26 Solving for variable 'x'. Reorder the terms: -26 + 6x + -2x2 = 26 + -26 Combine like terms: 26 + -26 = 0 -26 + 6x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-13 + 3x + -1x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-13 + 3x + -1x2)' equal to zero and attempt to solve: Simplifying -13 + 3x + -1x2 = 0 Solving -13 + 3x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 13 + -3x + x2 = 0 Move the constant term to the right: Add '-13' to each side of the equation. 13 + -3x + -13 + x2 = 0 + -13 Reorder the terms: 13 + -13 + -3x + x2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -3x + x2 = 0 + -13 -3x + x2 = 0 + -13 Combine like terms: 0 + -13 = -13 -3x + x2 = -13 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = -13 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -13 + 2.25 Combine like terms: -13 + 2.25 = -10.75 2.25 + -3x + x2 = -10.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -10.75 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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