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Simplifying 2(X2 + -4) + -1X2 + 3(2X + 3) = 5X Reorder the terms: 2(-4 + X2) + -1X2 + 3(2X + 3) = 5X (-4 * 2 + X2 * 2) + -1X2 + 3(2X + 3) = 5X (-8 + 2X2) + -1X2 + 3(2X + 3) = 5X Reorder the terms: -8 + 2X2 + -1X2 + 3(3 + 2X) = 5X -8 + 2X2 + -1X2 + (3 * 3 + 2X * 3) = 5X -8 + 2X2 + -1X2 + (9 + 6X) = 5X Reorder the terms: -8 + 9 + 6X + 2X2 + -1X2 = 5X Combine like terms: -8 + 9 = 1 1 + 6X + 2X2 + -1X2 = 5X Combine like terms: 2X2 + -1X2 = 1X2 1 + 6X + 1X2 = 5X Solving 1 + 6X + 1X2 = 5X Solving for variable 'X'. Reorder the terms: 1 + 6X + -5X + 1X2 = 5X + -5X Combine like terms: 6X + -5X = 1X 1 + 1X + 1X2 = 5X + -5X Combine like terms: 5X + -5X = 0 1 + 1X + 1X2 = 0 Begin completing the square. Move the constant term to the right: Add '-1' to each side of the equation. 1 + 1X + -1 + X2 = 0 + -1 Reorder the terms: 1 + -1 + 1X + X2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1X + X2 = 0 + -1 1X + X2 = 0 + -1 Combine like terms: 0 + -1 = -1 1X + X2 = -1 The X term is 1X. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. X + 0.25 + X2 = -1 + 0.25 Reorder the terms: 0.25 + X + X2 = -1 + 0.25 Combine like terms: -1 + 0.25 = -0.75 0.25 + X + X2 = -0.75 Factor a perfect square on the left side: (X + 0.5)(X + 0.5) = -0.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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