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Simplifying 4(2x + -2) + 6 = 10x + 2 + -6xi Reorder the terms: 4(-2 + 2x) + 6 = 10x + 2 + -6xi (-2 * 4 + 2x * 4) + 6 = 10x + 2 + -6xi (-8 + 8x) + 6 = 10x + 2 + -6xi Reorder the terms: -8 + 6 + 8x = 10x + 2 + -6xi Combine like terms: -8 + 6 = -2 -2 + 8x = 10x + 2 + -6xi Reorder the terms: -2 + 8x = 2 + -6ix + 10x Solving -2 + 8x = 2 + -6ix + 10x 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. -2 + 6ix + 8x = 2 + -6ix + 6ix + 10x Combine like terms: -6ix + 6ix = 0 -2 + 6ix + 8x = 2 + 0 + 10x -2 + 6ix + 8x = 2 + 10x Add '-10x' to each side of the equation. -2 + 6ix + 8x + -10x = 2 + 10x + -10x Combine like terms: 8x + -10x = -2x -2 + 6ix + -2x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 -2 + 6ix + -2x = 2 + 0 -2 + 6ix + -2x = 2 Add '2' to each side of the equation. -2 + 6ix + 2 + -2x = 2 + 2 Reorder the terms: -2 + 2 + 6ix + -2x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 6ix + -2x = 2 + 2 6ix + -2x = 2 + 2 Combine like terms: 2 + 2 = 4 6ix + -2x = 4 Reorder the terms: -4 + 6ix + -2x = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 6ix + -2x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + 3ix + -1x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + 3ix + -1x)' equal to zero and attempt to solve: Simplifying -2 + 3ix + -1x = 0 Solving -2 + 3ix + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 3ix + 2 + -1x = 0 + 2 Reorder the terms: -2 + 2 + 3ix + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3ix + -1x = 0 + 2 3ix + -1x = 0 + 2 Combine like terms: 0 + 2 = 2 3ix + -1x = 2 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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