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Simplifying 5x2 = 9(x + -1) Reorder the terms: 5x2 = 9(-1 + x) 5x2 = (-1 * 9 + x * 9) 5x2 = (-9 + 9x) Solving 5x2 = -9 + 9x Solving for variable 'x'. Reorder the terms: 9 + -9x + 5x2 = -9 + 9x + 9 + -9x Reorder the terms: 9 + -9x + 5x2 = -9 + 9 + 9x + -9x Combine like terms: -9 + 9 = 0 9 + -9x + 5x2 = 0 + 9x + -9x 9 + -9x + 5x2 = 9x + -9x Combine like terms: 9x + -9x = 0 9 + -9x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.8 + -1.8x + x2 = 0 Move the constant term to the right: Add '-1.8' to each side of the equation. 1.8 + -1.8x + -1.8 + x2 = 0 + -1.8 Reorder the terms: 1.8 + -1.8 + -1.8x + x2 = 0 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -1.8x + x2 = 0 + -1.8 -1.8x + x2 = 0 + -1.8 Combine like terms: 0 + -1.8 = -1.8 -1.8x + x2 = -1.8 The x term is -1.8x. Take half its coefficient (-0.9). Square it (0.81) and add it to both sides. Add '0.81' to each side of the equation. -1.8x + 0.81 + x2 = -1.8 + 0.81 Reorder the terms: 0.81 + -1.8x + x2 = -1.8 + 0.81 Combine like terms: -1.8 + 0.81 = -0.99 0.81 + -1.8x + x2 = -0.99 Factor a perfect square on the left side: (x + -0.9)(x + -0.9) = -0.99 Can't calculate square root of the right side. The solution to this equation could not be determined.
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