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Simplifying (x + -3)(x + -4) = -30 Reorder the terms: (-3 + x)(x + -4) = -30 Reorder the terms: (-3 + x)(-4 + x) = -30 Multiply (-3 + x) * (-4 + x) (-3(-4 + x) + x(-4 + x)) = -30 ((-4 * -3 + x * -3) + x(-4 + x)) = -30 ((12 + -3x) + x(-4 + x)) = -30 (12 + -3x + (-4 * x + x * x)) = -30 (12 + -3x + (-4x + x2)) = -30 Combine like terms: -3x + -4x = -7x (12 + -7x + x2) = -30 Solving 12 + -7x + x2 = -30 Solving for variable 'x'. Reorder the terms: 12 + 30 + -7x + x2 = -30 + 30 Combine like terms: 12 + 30 = 42 42 + -7x + x2 = -30 + 30 Combine like terms: -30 + 30 = 0 42 + -7x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-42' to each side of the equation. 42 + -7x + -42 + x2 = 0 + -42 Reorder the terms: 42 + -42 + -7x + x2 = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -7x + x2 = 0 + -42 -7x + x2 = 0 + -42 Combine like terms: 0 + -42 = -42 -7x + x2 = -42 The x term is -7x. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7x + 12.25 + x2 = -42 + 12.25 Reorder the terms: 12.25 + -7x + x2 = -42 + 12.25 Combine like terms: -42 + 12.25 = -29.75 12.25 + -7x + x2 = -29.75 Factor a perfect square on the left side: (x + -3.5)(x + -3.5) = -29.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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