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Simplifying 5x2 = 13x + -12 Reorder the terms: 5x2 = -12 + 13x Solving 5x2 = -12 + 13x Solving for variable 'x'. Reorder the terms: 12 + -13x + 5x2 = -12 + 13x + 12 + -13x Reorder the terms: 12 + -13x + 5x2 = -12 + 12 + 13x + -13x Combine like terms: -12 + 12 = 0 12 + -13x + 5x2 = 0 + 13x + -13x 12 + -13x + 5x2 = 13x + -13x Combine like terms: 13x + -13x = 0 12 + -13x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2.4 + -2.6x + x2 = 0 Move the constant term to the right: Add '-2.4' to each side of the equation. 2.4 + -2.6x + -2.4 + x2 = 0 + -2.4 Reorder the terms: 2.4 + -2.4 + -2.6x + x2 = 0 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + -2.6x + x2 = 0 + -2.4 -2.6x + x2 = 0 + -2.4 Combine like terms: 0 + -2.4 = -2.4 -2.6x + x2 = -2.4 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 = -2.4 + 1.69 Reorder the terms: 1.69 + -2.6x + x2 = -2.4 + 1.69 Combine like terms: -2.4 + 1.69 = -0.71 1.69 + -2.6x + x2 = -0.71 Factor a perfect square on the left side: (x + -1.3)(x + -1.3) = -0.71 Can't calculate square root of the right side. The solution to this equation could not be determined.
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