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Simplifying 4x + -5x2 = 3x + 4 Reorder the terms: 4x + -5x2 = 4 + 3x Solving 4x + -5x2 = 4 + 3x Solving for variable 'x'. Reorder the terms: -4 + 4x + -3x + -5x2 = 4 + 3x + -4 + -3x Combine like terms: 4x + -3x = 1x -4 + 1x + -5x2 = 4 + 3x + -4 + -3x Reorder the terms: -4 + 1x + -5x2 = 4 + -4 + 3x + -3x Combine like terms: 4 + -4 = 0 -4 + 1x + -5x2 = 0 + 3x + -3x -4 + 1x + -5x2 = 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 1x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 0.8 + -0.2x + x2 = 0 Move the constant term to the right: Add '-0.8' to each side of the equation. 0.8 + -0.2x + -0.8 + x2 = 0 + -0.8 Reorder the terms: 0.8 + -0.8 + -0.2x + x2 = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -0.2x + x2 = 0 + -0.8 -0.2x + x2 = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 -0.2x + x2 = -0.8 The x term is -0.2x. Take half its coefficient (-0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. -0.2x + 0.01 + x2 = -0.8 + 0.01 Reorder the terms: 0.01 + -0.2x + x2 = -0.8 + 0.01 Combine like terms: -0.8 + 0.01 = -0.79 0.01 + -0.2x + x2 = -0.79 Factor a perfect square on the left side: (x + -0.1)(x + -0.1) = -0.79 Can't calculate square root of the right side. The solution to this equation could not be determined.
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