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Simplifying x2 + 19 + 24 = 6x + 2 Reorder the terms: 19 + 24 + x2 = 6x + 2 Combine like terms: 19 + 24 = 43 43 + x2 = 6x + 2 Reorder the terms: 43 + x2 = 2 + 6x Solving 43 + x2 = 2 + 6x Solving for variable 'x'. Reorder the terms: 43 + -2 + -6x + x2 = 2 + 6x + -2 + -6x Combine like terms: 43 + -2 = 41 41 + -6x + x2 = 2 + 6x + -2 + -6x Reorder the terms: 41 + -6x + x2 = 2 + -2 + 6x + -6x Combine like terms: 2 + -2 = 0 41 + -6x + x2 = 0 + 6x + -6x 41 + -6x + x2 = 6x + -6x Combine like terms: 6x + -6x = 0 41 + -6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-41' to each side of the equation. 41 + -6x + -41 + x2 = 0 + -41 Reorder the terms: 41 + -41 + -6x + x2 = 0 + -41 Combine like terms: 41 + -41 = 0 0 + -6x + x2 = 0 + -41 -6x + x2 = 0 + -41 Combine like terms: 0 + -41 = -41 -6x + x2 = -41 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 = -41 + 9 Reorder the terms: 9 + -6x + x2 = -41 + 9 Combine like terms: -41 + 9 = -32 9 + -6x + x2 = -32 Factor a perfect square on the left side: (x + -3)(x + -3) = -32 Can't calculate square root of the right side. The solution to this equation could not be determined.
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