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Simplifying x(x + 6) = 7x + -2 Reorder the terms: x(6 + x) = 7x + -2 (6 * x + x * x) = 7x + -2 (6x + x2) = 7x + -2 Reorder the terms: 6x + x2 = -2 + 7x Solving 6x + x2 = -2 + 7x Solving for variable 'x'. Reorder the terms: 2 + 6x + -7x + x2 = -2 + 7x + 2 + -7x Combine like terms: 6x + -7x = -1x 2 + -1x + x2 = -2 + 7x + 2 + -7x Reorder the terms: 2 + -1x + x2 = -2 + 2 + 7x + -7x Combine like terms: -2 + 2 = 0 2 + -1x + x2 = 0 + 7x + -7x 2 + -1x + x2 = 7x + -7x Combine like terms: 7x + -7x = 0 2 + -1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-2' to each side of the equation. 2 + -1x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -1x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x + x2 = 0 + -2 -1x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1x + x2 = -2 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -2 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -2 + 0.25 Combine like terms: -2 + 0.25 = -1.75 0.25 + -1x + x2 = -1.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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