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Simplifying 3(x + -3) = 5x2 + -10x Reorder the terms: 3(-3 + x) = 5x2 + -10x (-3 * 3 + x * 3) = 5x2 + -10x (-9 + 3x) = 5x2 + -10x Reorder the terms: -9 + 3x = -10x + 5x2 Solving -9 + 3x = -10x + 5x2 Solving for variable 'x'. Combine like terms: 3x + 10x = 13x -9 + 13x + -5x2 = -10x + 5x2 + 10x + -5x2 Reorder the terms: -9 + 13x + -5x2 = -10x + 10x + 5x2 + -5x2 Combine like terms: -10x + 10x = 0 -9 + 13x + -5x2 = 0 + 5x2 + -5x2 -9 + 13x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -9 + 13x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 1.8 + -2.6x + x2 = 0 Move the constant term to the right: Add '-1.8' to each side of the equation. 1.8 + -2.6x + -1.8 + x2 = 0 + -1.8 Reorder the terms: 1.8 + -1.8 + -2.6x + x2 = 0 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -2.6x + x2 = 0 + -1.8 -2.6x + x2 = 0 + -1.8 Combine like terms: 0 + -1.8 = -1.8 -2.6x + x2 = -1.8 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 = -1.8 + 1.69 Reorder the terms: 1.69 + -2.6x + x2 = -1.8 + 1.69 Combine like terms: -1.8 + 1.69 = -0.11 1.69 + -2.6x + x2 = -0.11 Factor a perfect square on the left side: (x + -1.3)(x + -1.3) = -0.11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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