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Simplifying 10(x + -2) + I(6x + -6) = 0 Reorder the terms: 10(-2 + x) + I(6x + -6) = 0 (-2 * 10 + x * 10) + I(6x + -6) = 0 (-20 + 10x) + I(6x + -6) = 0 Reorder the terms: -20 + 10x + I(-6 + 6x) = 0 -20 + 10x + (-6 * I + 6x * I) = 0 -20 + 10x + (-6I + 6xI) = 0 Reorder the terms: -20 + -6I + 10x + 6xI = 0 Solving -20 + -6I + 10x + 6xI = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '20' to each side of the equation. -20 + -6I + 10x + 20 + 6xI = 0 + 20 Reorder the terms: -20 + 20 + -6I + 10x + 6xI = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -6I + 10x + 6xI = 0 + 20 -6I + 10x + 6xI = 0 + 20 Combine like terms: 0 + 20 = 20 -6I + 10x + 6xI = 20 Add '-10x' to each side of the equation. -6I + 10x + -10x + 6xI = 20 + -10x Combine like terms: 10x + -10x = 0 -6I + 0 + 6xI = 20 + -10x -6I + 6xI = 20 + -10x Reorder the terms: -20 + -6I + 10x + 6xI = 20 + -10x + -20 + 10x Reorder the terms: -20 + -6I + 10x + 6xI = 20 + -20 + -10x + 10x Combine like terms: 20 + -20 = 0 -20 + -6I + 10x + 6xI = 0 + -10x + 10x -20 + -6I + 10x + 6xI = -10x + 10x Combine like terms: -10x + 10x = 0 -20 + -6I + 10x + 6xI = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-10 + -3I + 5x + 3xI) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-10 + -3I + 5x + 3xI)' equal to zero and attempt to solve: Simplifying -10 + -3I + 5x + 3xI = 0 Solving -10 + -3I + 5x + 3xI = 0 Move all terms containing I to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -3I + 5x + 10 + 3xI = 0 + 10 Reorder the terms: -10 + 10 + -3I + 5x + 3xI = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3I + 5x + 3xI = 0 + 10 -3I + 5x + 3xI = 0 + 10 Combine like terms: 0 + 10 = 10 -3I + 5x + 3xI = 10 Add '-5x' to each side of the equation. -3I + 5x + -5x + 3xI = 10 + -5x Combine like terms: 5x + -5x = 0 -3I + 0 + 3xI = 10 + -5x -3I + 3xI = 10 + -5x 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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