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Simplifying 5(x2) + -13x + 42 = 0 Reorder the terms: 42 + -13x + 5x2 = 0 Solving 42 + -13x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 8.4 + -2.6x + x2 = 0 Move the constant term to the right: Add '-8.4' to each side of the equation. 8.4 + -2.6x + -8.4 + x2 = 0 + -8.4 Reorder the terms: 8.4 + -8.4 + -2.6x + x2 = 0 + -8.4 Combine like terms: 8.4 + -8.4 = 0.0 0.0 + -2.6x + x2 = 0 + -8.4 -2.6x + x2 = 0 + -8.4 Combine like terms: 0 + -8.4 = -8.4 -2.6x + x2 = -8.4 The x term is -2.6x. Take half its coefficient (-1.3). Square it (1.69) and add it to both sides. Add '1.69' to each side of the equation. -2.6x + 1.69 + x2 = -8.4 + 1.69 Reorder the terms: 1.69 + -2.6x + x2 = -8.4 + 1.69 Combine like terms: -8.4 + 1.69 = -6.71 1.69 + -2.6x + x2 = -6.71 Factor a perfect square on the left side: (x + -1.3)(x + -1.3) = -6.71 Can't calculate square root of the right side. The solution to this equation could not be determined.
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