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Simplifying -2x + -10i = 12 + (30y) * i Reorder the terms: -10i + -2x = 12 + (30y) * i Remove parenthesis around (30y) -10i + -2x = 12 + 30y * i Multiply y * i -10i + -2x = 12 + 30iy Solving -10i + -2x = 12 + 30iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-30iy' to each side of the equation. -10i + -30iy + -2x = 12 + 30iy + -30iy Combine like terms: 30iy + -30iy = 0 -10i + -30iy + -2x = 12 + 0 -10i + -30iy + -2x = 12 Add '2x' to each side of the equation. -10i + -30iy + -2x + 2x = 12 + 2x Combine like terms: -2x + 2x = 0 -10i + -30iy + 0 = 12 + 2x -10i + -30iy = 12 + 2x Reorder the terms: -12 + -10i + -30iy + -2x = 12 + 2x + -12 + -2x Reorder the terms: -12 + -10i + -30iy + -2x = 12 + -12 + 2x + -2x Combine like terms: 12 + -12 = 0 -12 + -10i + -30iy + -2x = 0 + 2x + -2x -12 + -10i + -30iy + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 -12 + -10i + -30iy + -2x = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(6 + 5i + 15iy + x) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(6 + 5i + 15iy + x)' equal to zero and attempt to solve: Simplifying 6 + 5i + 15iy + x = 0 Solving 6 + 5i + 15iy + x = 0 Move all terms containing i to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 5i + 15iy + -6 + x = 0 + -6 Reorder the terms: 6 + -6 + 5i + 15iy + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5i + 15iy + x = 0 + -6 5i + 15iy + x = 0 + -6 Combine like terms: 0 + -6 = -6 5i + 15iy + x = -6 Add '-1x' to each side of the equation. 5i + 15iy + x + -1x = -6 + -1x Combine like terms: x + -1x = 0 5i + 15iy + 0 = -6 + -1x 5i + 15iy = -6 + -1x 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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