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Simplifying 2x + -3 = (4x2) + -5x + 1 Reorder the terms: -3 + 2x = (4x2) + -5x + 1 Reorder the terms: -3 + 2x = 1 + -5x + (4x2) Solving -3 + 2x = 1 + -5x + (4x2) Solving for variable 'x'. Reorder the terms: -3 + -1 + 2x + 5x + (-4x2) = 1 + -5x + (4x2) + -1 + 5x + (-4x2) Combine like terms: -3 + -1 = -4 -4 + 2x + 5x + (-4x2) = 1 + -5x + (4x2) + -1 + 5x + (-4x2) Combine like terms: 2x + 5x = 7x -4 + 7x + (-4x2) = 1 + -5x + (4x2) + -1 + 5x + (-4x2) Reorder the terms: -4 + 7x + (-4x2) = 1 + -1 + -5x + 5x + (4x2) + (-4x2) Combine like terms: 1 + -1 = 0 -4 + 7x + (-4x2) = 0 + -5x + 5x + (4x2) + (-4x2) -4 + 7x + (-4x2) = -5x + 5x + (4x2) + (-4x2) Combine like terms: -5x + 5x = 0 -4 + 7x + (-4x2) = 0 + (4x2) + (-4x2) -4 + 7x + (-4x2) = (4x2) + (-4x2) Combine like terms: (4x2) + (-4x2) = 0 -4 + 7x + (-4x2) = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 1 + -1.75x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1.75x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -1.75x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1.75x + x2 = 0 + -1 -1.75x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1.75x + x2 = -1 The x term is -1.75x. Take half its coefficient (-0.875). Square it (0.765625) and add it to both sides. Add '0.765625' to each side of the equation. -1.75x + 0.765625 + x2 = -1 + 0.765625 Reorder the terms: 0.765625 + -1.75x + x2 = -1 + 0.765625 Combine like terms: -1 + 0.765625 = -0.234375 0.765625 + -1.75x + x2 = -0.234375 Factor a perfect square on the left side: ((x) + -0.875)((x) + -0.875) = -0.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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