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Simplifying 3x + -9 = 6(x + 1) * i Reorder the terms: -9 + 3x = 6(x + 1) * i Reorder the terms: -9 + 3x = 6(1 + x) * i Reorder the terms for easier multiplication: -9 + 3x = 6i(1 + x) -9 + 3x = (1 * 6i + x * 6i) -9 + 3x = (6i + 6ix) Solving -9 + 3x = 6i + 6ix Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6ix' to each side of the equation. -9 + -6ix + 3x = 6i + 6ix + -6ix Combine like terms: 6ix + -6ix = 0 -9 + -6ix + 3x = 6i + 0 -9 + -6ix + 3x = 6i Add '9' to each side of the equation. -9 + -6ix + 9 + 3x = 9 + 6i Reorder the terms: -9 + 9 + -6ix + 3x = 9 + 6i Combine like terms: -9 + 9 = 0 0 + -6ix + 3x = 9 + 6i -6ix + 3x = 9 + 6i Reorder the terms: -9 + -6i + -6ix + 3x = 9 + 6i + -9 + -6i Reorder the terms: -9 + -6i + -6ix + 3x = 9 + -9 + 6i + -6i Combine like terms: 9 + -9 = 0 -9 + -6i + -6ix + 3x = 0 + 6i + -6i -9 + -6i + -6ix + 3x = 6i + -6i Combine like terms: 6i + -6i = 0 -9 + -6i + -6ix + 3x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-3 + -2i + -2ix + x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + -2i + -2ix + x)' equal to zero and attempt to solve: Simplifying -3 + -2i + -2ix + x = 0 Solving -3 + -2i + -2ix + x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -2i + -2ix + 3 + x = 0 + 3 Reorder the terms: -3 + 3 + -2i + -2ix + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2i + -2ix + x = 0 + 3 -2i + -2ix + x = 0 + 3 Combine like terms: 0 + 3 = 3 -2i + -2ix + x = 3 Add '2i' to each side of the equation. -2i + -2ix + 2i + x = 3 + 2i Reorder the terms: -2i + 2i + -2ix + x = 3 + 2i Combine like terms: -2i + 2i = 0 0 + -2ix + x = 3 + 2i -2ix + x = 3 + 2i 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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