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Simplifying (x + -3)(x + 4) = (2x + -29) Reorder the terms: (-3 + x)(x + 4) = (2x + -29) Reorder the terms: (-3 + x)(4 + x) = (2x + -29) Multiply (-3 + x) * (4 + x) (-3(4 + x) + x(4 + x)) = (2x + -29) ((4 * -3 + x * -3) + x(4 + x)) = (2x + -29) ((-12 + -3x) + x(4 + x)) = (2x + -29) (-12 + -3x + (4 * x + x * x)) = (2x + -29) (-12 + -3x + (4x + x2)) = (2x + -29) Combine like terms: -3x + 4x = 1x (-12 + 1x + x2) = (2x + -29) Reorder the terms: -12 + 1x + x2 = (-29 + 2x) Remove parenthesis around (-29 + 2x) -12 + 1x + x2 = -29 + 2x Solving -12 + 1x + x2 = -29 + 2x Solving for variable 'x'. Reorder the terms: -12 + 29 + 1x + -2x + x2 = -29 + 2x + 29 + -2x Combine like terms: -12 + 29 = 17 17 + 1x + -2x + x2 = -29 + 2x + 29 + -2x Combine like terms: 1x + -2x = -1x 17 + -1x + x2 = -29 + 2x + 29 + -2x Reorder the terms: 17 + -1x + x2 = -29 + 29 + 2x + -2x Combine like terms: -29 + 29 = 0 17 + -1x + x2 = 0 + 2x + -2x 17 + -1x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 17 + -1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-17' to each side of the equation. 17 + -1x + -17 + x2 = 0 + -17 Reorder the terms: 17 + -17 + -1x + x2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x + x2 = 0 + -17 -1x + x2 = 0 + -17 Combine like terms: 0 + -17 = -17 -1x + x2 = -17 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 = -17 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -17 + 0.25 Combine like terms: -17 + 0.25 = -16.75 0.25 + -1x + x2 = -16.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -16.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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