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Simplifying x2 + 6(2x + 5) + -7x = 0 Reorder the terms: x2 + 6(5 + 2x) + -7x = 0 x2 + (5 * 6 + 2x * 6) + -7x = 0 x2 + (30 + 12x) + -7x = 0 Reorder the terms: 30 + 12x + -7x + x2 = 0 Combine like terms: 12x + -7x = 5x 30 + 5x + x2 = 0 Solving 30 + 5x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-30' to each side of the equation. 30 + 5x + -30 + x2 = 0 + -30 Reorder the terms: 30 + -30 + 5x + x2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 5x + x2 = 0 + -30 5x + x2 = 0 + -30 Combine like terms: 0 + -30 = -30 5x + x2 = -30 The x term is 5x. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5x + 6.25 + x2 = -30 + 6.25 Reorder the terms: 6.25 + 5x + x2 = -30 + 6.25 Combine like terms: -30 + 6.25 = -23.75 6.25 + 5x + x2 = -23.75 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = -23.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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