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Simplifying x2 + 50 = -6x + 2 Reorder the terms: 50 + x2 = -6x + 2 Reorder the terms: 50 + x2 = 2 + -6x Solving 50 + x2 = 2 + -6x Solving for variable 'x'. Reorder the terms: 50 + -2 + 6x + x2 = 2 + -6x + -2 + 6x Combine like terms: 50 + -2 = 48 48 + 6x + x2 = 2 + -6x + -2 + 6x Reorder the terms: 48 + 6x + x2 = 2 + -2 + -6x + 6x Combine like terms: 2 + -2 = 0 48 + 6x + x2 = 0 + -6x + 6x 48 + 6x + x2 = -6x + 6x Combine like terms: -6x + 6x = 0 48 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-48' to each side of the equation. 48 + 6x + -48 + x2 = 0 + -48 Reorder the terms: 48 + -48 + 6x + x2 = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 6x + x2 = 0 + -48 6x + x2 = 0 + -48 Combine like terms: 0 + -48 = -48 6x + x2 = -48 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = -48 + 9 Reorder the terms: 9 + 6x + x2 = -48 + 9 Combine like terms: -48 + 9 = -39 9 + 6x + x2 = -39 Factor a perfect square on the left side: (x + 3)(x + 3) = -39 Can't calculate square root of the right side. The solution to this equation could not be determined.
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