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Simplifying (x2 + -5x + 4) + (4x2 + -4x + 3) = 0 Reorder the terms: (4 + -5x + x2) + (4x2 + -4x + 3) = 0 Remove parenthesis around (4 + -5x + x2) 4 + -5x + x2 + (4x2 + -4x + 3) = 0 Reorder the terms: 4 + -5x + x2 + (3 + -4x + 4x2) = 0 Remove parenthesis around (3 + -4x + 4x2) 4 + -5x + x2 + 3 + -4x + 4x2 = 0 Reorder the terms: 4 + 3 + -5x + -4x + x2 + 4x2 = 0 Combine like terms: 4 + 3 = 7 7 + -5x + -4x + x2 + 4x2 = 0 Combine like terms: -5x + -4x = -9x 7 + -9x + x2 + 4x2 = 0 Combine like terms: x2 + 4x2 = 5x2 7 + -9x + 5x2 = 0 Solving 7 + -9x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.4 + -1.8x + x2 = 0 Move the constant term to the right: Add '-1.4' to each side of the equation. 1.4 + -1.8x + -1.4 + x2 = 0 + -1.4 Reorder the terms: 1.4 + -1.4 + -1.8x + x2 = 0 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -1.8x + x2 = 0 + -1.4 -1.8x + x2 = 0 + -1.4 Combine like terms: 0 + -1.4 = -1.4 -1.8x + x2 = -1.4 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 = -1.4 + 0.81 Reorder the terms: 0.81 + -1.8x + x2 = -1.4 + 0.81 Combine like terms: -1.4 + 0.81 = -0.59 0.81 + -1.8x + x2 = -0.59 Factor a perfect square on the left side: (x + -0.9)(x + -0.9) = -0.59 Can't calculate square root of the right side. The solution to this equation could not be determined.
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