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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 = 1x (-12 + 1x + x2) = -30 Solving -12 + 1x + x2 = -30 Solving for variable 'x'. Reorder the terms: -12 + 30 + 1x + x2 = -30 + 30 Combine like terms: -12 + 30 = 18 18 + 1x + x2 = -30 + 30 Combine like terms: -30 + 30 = 0 18 + 1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + 1x + -18 + x2 = 0 + -18 Reorder the terms: 18 + -18 + 1x + x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 1x + x2 = 0 + -18 1x + x2 = 0 + -18 Combine like terms: 0 + -18 = -18 1x + x2 = -18 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. x + 0.25 + x2 = -18 + 0.25 Reorder the terms: 0.25 + x + x2 = -18 + 0.25 Combine like terms: -18 + 0.25 = -17.75 0.25 + x + x2 = -17.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -17.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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