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Simplifying (x(-7 + i))(x(-7 + -1i))(x + 2) = 0 ((-7 * x + i * x))(x(-7 + -1i))(x + 2) = 0 Reorder the terms: ((ix + -7x))(x(-7 + -1i))(x + 2) = 0 ((ix + -7x))(x(-7 + -1i))(x + 2) = 0 (ix + -7x)((-7 * x + -1i * x))(x + 2) = 0 Reorder the terms: (ix + -7x)((-1ix + -7x))(x + 2) = 0 (ix + -7x)((-1ix + -7x))(x + 2) = 0 Reorder the terms: (ix + -7x)(-1ix + -7x)(2 + x) = 0 Multiply (ix + -7x) * (-1ix + -7x) (ix(-1ix + -7x) + -7x * (-1ix + -7x))(2 + x) = 0 ((-1ix * ix + -7x * ix) + -7x * (-1ix + -7x))(2 + x) = 0 Reorder the terms: ((-7ix2 + -1i2x2) + -7x * (-1ix + -7x))(2 + x) = 0 ((-7ix2 + -1i2x2) + -7x * (-1ix + -7x))(2 + x) = 0 (-7ix2 + -1i2x2 + (-1ix * -7x + -7x * -7x))(2 + x) = 0 (-7ix2 + -1i2x2 + (7ix2 + 49x2))(2 + x) = 0 Reorder the terms: (-7ix2 + 7ix2 + -1i2x2 + 49x2)(2 + x) = 0 Combine like terms: -7ix2 + 7ix2 = 0 (0 + -1i2x2 + 49x2)(2 + x) = 0 (-1i2x2 + 49x2)(2 + x) = 0 Multiply (-1i2x2 + 49x2) * (2 + x) (-1i2x2 * (2 + x) + 49x2 * (2 + x)) = 0 ((2 * -1i2x2 + x * -1i2x2) + 49x2 * (2 + x)) = 0 ((-2i2x2 + -1i2x3) + 49x2 * (2 + x)) = 0 (-2i2x2 + -1i2x3 + (2 * 49x2 + x * 49x2)) = 0 (-2i2x2 + -1i2x3 + (98x2 + 49x3)) = 0 (-2i2x2 + -1i2x3 + 98x2 + 49x3) = 0 Solving -2i2x2 + -1i2x3 + 98x2 + 49x3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-98x2' to each side of the equation. -2i2x2 + -1i2x3 + 98x2 + -98x2 + 49x3 = 0 + -98x2 Combine like terms: 98x2 + -98x2 = 0 -2i2x2 + -1i2x3 + 0 + 49x3 = 0 + -98x2 -2i2x2 + -1i2x3 + 49x3 = 0 + -98x2 Remove the zero: -2i2x2 + -1i2x3 + 49x3 = -98x2 Add '-49x3' to each side of the equation. -2i2x2 + -1i2x3 + 49x3 + -49x3 = -98x2 + -49x3 Combine like terms: 49x3 + -49x3 = 0 -2i2x2 + -1i2x3 + 0 = -98x2 + -49x3 -2i2x2 + -1i2x3 = -98x2 + -49x3 Reorder the terms: -2i2x2 + -1i2x3 + 98x2 + 49x3 = -98x2 + 98x2 + -49x3 + 49x3 Combine like terms: -98x2 + 98x2 = 0 -2i2x2 + -1i2x3 + 98x2 + 49x3 = 0 + -49x3 + 49x3 -2i2x2 + -1i2x3 + 98x2 + 49x3 = -49x3 + 49x3 Combine like terms: -49x3 + 49x3 = 0 -2i2x2 + -1i2x3 + 98x2 + 49x3 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(-2i2 + -1i2x + 98 + 49x) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing i to the left, all other terms to the right. Add '-1x2' to each side of the equation. x2 + -1x2 = 0 + -1x2 Remove the zero: 0 = -1x2 Simplifying 0 = -1x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-2i2 + -1i2x + 98 + 49x)' equal to zero and attempt to solve: Simplifying -2i2 + -1i2x + 98 + 49x = 0 Reorder the terms: 98 + -2i2 + -1i2x + 49x = 0 Solving 98 + -2i2 + -1i2x + 49x = 0 Move all terms containing i to the left, all other terms to the right. Add '-98' to each side of the equation. 98 + -2i2 + -1i2x + -98 + 49x = 0 + -98 Reorder the terms: 98 + -98 + -2i2 + -1i2x + 49x = 0 + -98 Combine like terms: 98 + -98 = 0 0 + -2i2 + -1i2x + 49x = 0 + -98 -2i2 + -1i2x + 49x = 0 + -98 Combine like terms: 0 + -98 = -98 -2i2 + -1i2x + 49x = -98 Add '-49x' to each side of the equation. -2i2 + -1i2x + 49x + -49x = -98 + -49x Combine like terms: 49x + -49x = 0 -2i2 + -1i2x + 0 = -98 + -49x -2i2 + -1i2x = -98 + -49x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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