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Simplifying 14x2 + -9x + 4 = -11x2 + 11x + -5 Reorder the terms: 4 + -9x + 14x2 = -11x2 + 11x + -5 Reorder the terms: 4 + -9x + 14x2 = -5 + 11x + -11x2 Solving 4 + -9x + 14x2 = -5 + 11x + -11x2 Solving for variable 'x'. Reorder the terms: 4 + 5 + -9x + -11x + 14x2 + 11x2 = -5 + 11x + -11x2 + 5 + -11x + 11x2 Combine like terms: 4 + 5 = 9 9 + -9x + -11x + 14x2 + 11x2 = -5 + 11x + -11x2 + 5 + -11x + 11x2 Combine like terms: -9x + -11x = -20x 9 + -20x + 14x2 + 11x2 = -5 + 11x + -11x2 + 5 + -11x + 11x2 Combine like terms: 14x2 + 11x2 = 25x2 9 + -20x + 25x2 = -5 + 11x + -11x2 + 5 + -11x + 11x2 Reorder the terms: 9 + -20x + 25x2 = -5 + 5 + 11x + -11x + -11x2 + 11x2 Combine like terms: -5 + 5 = 0 9 + -20x + 25x2 = 0 + 11x + -11x + -11x2 + 11x2 9 + -20x + 25x2 = 11x + -11x + -11x2 + 11x2 Combine like terms: 11x + -11x = 0 9 + -20x + 25x2 = 0 + -11x2 + 11x2 9 + -20x + 25x2 = -11x2 + 11x2 Combine like terms: -11x2 + 11x2 = 0 9 + -20x + 25x2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.36 + -0.8x + x2 = 0 Move the constant term to the right: Add '-0.36' to each side of the equation. 0.36 + -0.8x + -0.36 + x2 = 0 + -0.36 Reorder the terms: 0.36 + -0.36 + -0.8x + x2 = 0 + -0.36 Combine like terms: 0.36 + -0.36 = 0.00 0.00 + -0.8x + x2 = 0 + -0.36 -0.8x + x2 = 0 + -0.36 Combine like terms: 0 + -0.36 = -0.36 -0.8x + x2 = -0.36 The x term is -0.8x. Take half its coefficient (-0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. -0.8x + 0.16 + x2 = -0.36 + 0.16 Reorder the terms: 0.16 + -0.8x + x2 = -0.36 + 0.16 Combine like terms: -0.36 + 0.16 = -0.2 0.16 + -0.8x + x2 = -0.2 Factor a perfect square on the left side: (x + -0.4)(x + -0.4) = -0.2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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