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Simplifying x2 + 5x + 33 = 7x + -3 Reorder the terms: 33 + 5x + x2 = 7x + -3 Reorder the terms: 33 + 5x + x2 = -3 + 7x Solving 33 + 5x + x2 = -3 + 7x Solving for variable 'x'. Reorder the terms: 33 + 3 + 5x + -7x + x2 = -3 + 7x + 3 + -7x Combine like terms: 33 + 3 = 36 36 + 5x + -7x + x2 = -3 + 7x + 3 + -7x Combine like terms: 5x + -7x = -2x 36 + -2x + x2 = -3 + 7x + 3 + -7x Reorder the terms: 36 + -2x + x2 = -3 + 3 + 7x + -7x Combine like terms: -3 + 3 = 0 36 + -2x + x2 = 0 + 7x + -7x 36 + -2x + x2 = 7x + -7x Combine like terms: 7x + -7x = 0 36 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-36' to each side of the equation. 36 + -2x + -36 + x2 = 0 + -36 Reorder the terms: 36 + -36 + -2x + x2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -2x + x2 = 0 + -36 -2x + x2 = 0 + -36 Combine like terms: 0 + -36 = -36 -2x + x2 = -36 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -36 + 1 Reorder the terms: 1 + -2x + x2 = -36 + 1 Combine like terms: -36 + 1 = -35 1 + -2x + x2 = -35 Factor a perfect square on the left side: (x + -1)(x + -1) = -35 Can't calculate square root of the right side. The solution to this equation could not be determined.
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