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Simplifying x2 = -93 + -2x Solving x2 = -93 + -2x Solving for variable 'x'. Reorder the terms: 93 + 2x + x2 = -93 + -2x + 93 + 2x Reorder the terms: 93 + 2x + x2 = -93 + 93 + -2x + 2x Combine like terms: -93 + 93 = 0 93 + 2x + x2 = 0 + -2x + 2x 93 + 2x + x2 = -2x + 2x Combine like terms: -2x + 2x = 0 93 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-93' to each side of the equation. 93 + 2x + -93 + x2 = 0 + -93 Reorder the terms: 93 + -93 + 2x + x2 = 0 + -93 Combine like terms: 93 + -93 = 0 0 + 2x + x2 = 0 + -93 2x + x2 = 0 + -93 Combine like terms: 0 + -93 = -93 2x + x2 = -93 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 = -93 + 1 Reorder the terms: 1 + 2x + x2 = -93 + 1 Combine like terms: -93 + 1 = -92 1 + 2x + x2 = -92 Factor a perfect square on the left side: (x + 1)(x + 1) = -92 Can't calculate square root of the right side. The solution to this equation could not be determined.
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