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Simplifying 24 + 3x(x + -6) = 8x + -74 Reorder the terms: 24 + 3x(-6 + x) = 8x + -74 24 + (-6 * 3x + x * 3x) = 8x + -74 24 + (-18x + 3x2) = 8x + -74 Reorder the terms: 24 + -18x + 3x2 = -74 + 8x Solving 24 + -18x + 3x2 = -74 + 8x Solving for variable 'x'. Reorder the terms: 24 + 74 + -18x + -8x + 3x2 = -74 + 8x + 74 + -8x Combine like terms: 24 + 74 = 98 98 + -18x + -8x + 3x2 = -74 + 8x + 74 + -8x Combine like terms: -18x + -8x = -26x 98 + -26x + 3x2 = -74 + 8x + 74 + -8x Reorder the terms: 98 + -26x + 3x2 = -74 + 74 + 8x + -8x Combine like terms: -74 + 74 = 0 98 + -26x + 3x2 = 0 + 8x + -8x 98 + -26x + 3x2 = 8x + -8x Combine like terms: 8x + -8x = 0 98 + -26x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 32.66666667 + -8.666666667x + x2 = 0 Move the constant term to the right: Add '-32.66666667' to each side of the equation. 32.66666667 + -8.666666667x + -32.66666667 + x2 = 0 + -32.66666667 Reorder the terms: 32.66666667 + -32.66666667 + -8.666666667x + x2 = 0 + -32.66666667 Combine like terms: 32.66666667 + -32.66666667 = 0.00000000 0.00000000 + -8.666666667x + x2 = 0 + -32.66666667 -8.666666667x + x2 = 0 + -32.66666667 Combine like terms: 0 + -32.66666667 = -32.66666667 -8.666666667x + x2 = -32.66666667 The x term is -8.666666667x. Take half its coefficient (-4.333333334). Square it (18.77777778) and add it to both sides. Add '18.77777778' to each side of the equation. -8.666666667x + 18.77777778 + x2 = -32.66666667 + 18.77777778 Reorder the terms: 18.77777778 + -8.666666667x + x2 = -32.66666667 + 18.77777778 Combine like terms: -32.66666667 + 18.77777778 = -13.88888889 18.77777778 + -8.666666667x + x2 = -13.88888889 Factor a perfect square on the left side: (x + -4.333333334)(x + -4.333333334) = -13.88888889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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