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Simplifying 3x + 2x(-1x + -4.6) = 18 Reorder the terms: 3x + 2x(-4.6 + -1x) = 18 3x + (-4.6 * 2x + -1x * 2x) = 18 3x + (-9.2x + -2x2) = 18 Combine like terms: 3x + -9.2x = -6.2x -6.2x + -2x2 = 18 Solving -6.2x + -2x2 = 18 Solving for variable 'x'. Reorder the terms: -18 + -6.2x + -2x2 = 18 + -18 Combine like terms: 18 + -18 = 0 -18 + -6.2x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 9 + 3.1x + x2 = 0 Move the constant term to the right: Add '-9' to each side of the equation. 9 + 3.1x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + 3.1x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 3.1x + x2 = 0 + -9 3.1x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 3.1x + x2 = -9 The x term is 3.1x. Take half its coefficient (1.55). Square it (2.4025) and add it to both sides. Add '2.4025' to each side of the equation. 3.1x + 2.4025 + x2 = -9 + 2.4025 Reorder the terms: 2.4025 + 3.1x + x2 = -9 + 2.4025 Combine like terms: -9 + 2.4025 = -6.5975 2.4025 + 3.1x + x2 = -6.5975 Factor a perfect square on the left side: (x + 1.55)(x + 1.55) = -6.5975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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