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Simplifying 3(x2 + -30x + 7000) = x Reorder the terms: 3(7000 + -30x + x2) = x (7000 * 3 + -30x * 3 + x2 * 3) = x (21000 + -90x + 3x2) = x Solving 21000 + -90x + 3x2 = x Solving for variable 'x'. Reorder the terms: 21000 + -90x + -1x + 3x2 = x + -1x Combine like terms: -90x + -1x = -91x 21000 + -91x + 3x2 = x + -1x Combine like terms: x + -1x = 0 21000 + -91x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 7000 + -30.33333333x + x2 = 0 Move the constant term to the right: Add '-7000' to each side of the equation. 7000 + -30.33333333x + -7000 + x2 = 0 + -7000 Reorder the terms: 7000 + -7000 + -30.33333333x + x2 = 0 + -7000 Combine like terms: 7000 + -7000 = 0 0 + -30.33333333x + x2 = 0 + -7000 -30.33333333x + x2 = 0 + -7000 Combine like terms: 0 + -7000 = -7000 -30.33333333x + x2 = -7000 The x term is -30.33333333x. Take half its coefficient (-15.16666667). Square it (230.0277779) and add it to both sides. Add '230.0277779' to each side of the equation. -30.33333333x + 230.0277779 + x2 = -7000 + 230.0277779 Reorder the terms: 230.0277779 + -30.33333333x + x2 = -7000 + 230.0277779 Combine like terms: -7000 + 230.0277779 = -6769.9722221 230.0277779 + -30.33333333x + x2 = -6769.9722221 Factor a perfect square on the left side: (x + -15.16666667)(x + -15.16666667) = -6769.9722221 Can't calculate square root of the right side. The solution to this equation could not be determined.
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