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Simplifying x2 + 5x + 33 = 4x + 9 Reorder the terms: 33 + 5x + x2 = 4x + 9 Reorder the terms: 33 + 5x + x2 = 9 + 4x Solving 33 + 5x + x2 = 9 + 4x Solving for variable 'x'. Reorder the terms: 33 + -9 + 5x + -4x + x2 = 9 + 4x + -9 + -4x Combine like terms: 33 + -9 = 24 24 + 5x + -4x + x2 = 9 + 4x + -9 + -4x Combine like terms: 5x + -4x = 1x 24 + 1x + x2 = 9 + 4x + -9 + -4x Reorder the terms: 24 + 1x + x2 = 9 + -9 + 4x + -4x Combine like terms: 9 + -9 = 0 24 + 1x + x2 = 0 + 4x + -4x 24 + 1x + x2 = 4x + -4x Combine like terms: 4x + -4x = 0 24 + 1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-24' to each side of the equation. 24 + 1x + -24 + x2 = 0 + -24 Reorder the terms: 24 + -24 + 1x + x2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 1x + x2 = 0 + -24 1x + x2 = 0 + -24 Combine like terms: 0 + -24 = -24 1x + x2 = -24 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 = -24 + 0.25 Reorder the terms: 0.25 + x + x2 = -24 + 0.25 Combine like terms: -24 + 0.25 = -23.75 0.25 + x + x2 = -23.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -23.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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