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Simplifying 6x + 9 + x2 + -4x = 2 Reorder the terms: 9 + 6x + -4x + x2 = 2 Combine like terms: 6x + -4x = 2x 9 + 2x + x2 = 2 Solving 9 + 2x + x2 = 2 Solving for variable 'x'. Reorder the terms: 9 + -2 + 2x + x2 = 2 + -2 Combine like terms: 9 + -2 = 7 7 + 2x + x2 = 2 + -2 Combine like terms: 2 + -2 = 0 7 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-7' to each side of the equation. 7 + 2x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + 2x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x + x2 = 0 + -7 2x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 2x + x2 = -7 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 = -7 + 1 Reorder the terms: 1 + 2x + x2 = -7 + 1 Combine like terms: -7 + 1 = -6 1 + 2x + x2 = -6 Factor a perfect square on the left side: (x + 1)(x + 1) = -6 Can't calculate square root of the right side. The solution to this equation could not be determined.
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