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Simplifying 6x(3x + 5) + 14 = 5x + -13 Reorder the terms: 6x(5 + 3x) + 14 = 5x + -13 (5 * 6x + 3x * 6x) + 14 = 5x + -13 (30x + 18x2) + 14 = 5x + -13 Reorder the terms: 14 + 30x + 18x2 = 5x + -13 Reorder the terms: 14 + 30x + 18x2 = -13 + 5x Solving 14 + 30x + 18x2 = -13 + 5x Solving for variable 'x'. Reorder the terms: 14 + 13 + 30x + -5x + 18x2 = -13 + 5x + 13 + -5x Combine like terms: 14 + 13 = 27 27 + 30x + -5x + 18x2 = -13 + 5x + 13 + -5x Combine like terms: 30x + -5x = 25x 27 + 25x + 18x2 = -13 + 5x + 13 + -5x Reorder the terms: 27 + 25x + 18x2 = -13 + 13 + 5x + -5x Combine like terms: -13 + 13 = 0 27 + 25x + 18x2 = 0 + 5x + -5x 27 + 25x + 18x2 = 5x + -5x Combine like terms: 5x + -5x = 0 27 + 25x + 18x2 = 0 Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 1.5 + 1.388888889x + x2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + 1.388888889x + -1.5 + x2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + 1.388888889x + x2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 1.388888889x + x2 = 0 + -1.5 1.388888889x + x2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 1.388888889x + x2 = -1.5 The x term is 1.388888889x. Take half its coefficient (0.6944444445). Square it (0.4822530865) and add it to both sides. Add '0.4822530865' to each side of the equation. 1.388888889x + 0.4822530865 + x2 = -1.5 + 0.4822530865 Reorder the terms: 0.4822530865 + 1.388888889x + x2 = -1.5 + 0.4822530865 Combine like terms: -1.5 + 0.4822530865 = -1.0177469135 0.4822530865 + 1.388888889x + x2 = -1.0177469135 Factor a perfect square on the left side: (x + 0.6944444445)(x + 0.6944444445) = -1.0177469135 Can't calculate square root of the right side. The solution to this equation could not be determined.
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