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Simplifying 8x + 4i = -40 + -1(20y) * i Reorder the terms: 4i + 8x = -40 + -1(20y) * i Remove parenthesis around (20y) 4i + 8x = -40 + -1 * 20y * i Multiply -1 * 20 4i + 8x = -40 + -20y * i Multiply y * i 4i + 8x = -40 + -20iy Solving 4i + 8x = -40 + -20iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '20iy' to each side of the equation. 4i + 20iy + 8x = -40 + -20iy + 20iy Combine like terms: -20iy + 20iy = 0 4i + 20iy + 8x = -40 + 0 4i + 20iy + 8x = -40 Add '-8x' to each side of the equation. 4i + 20iy + 8x + -8x = -40 + -8x Combine like terms: 8x + -8x = 0 4i + 20iy + 0 = -40 + -8x 4i + 20iy = -40 + -8x Reorder the terms: 40 + 4i + 20iy + 8x = -40 + -8x + 40 + 8x Reorder the terms: 40 + 4i + 20iy + 8x = -40 + 40 + -8x + 8x Combine like terms: -40 + 40 = 0 40 + 4i + 20iy + 8x = 0 + -8x + 8x 40 + 4i + 20iy + 8x = -8x + 8x Combine like terms: -8x + 8x = 0 40 + 4i + 20iy + 8x = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(10 + i + 5iy + 2x) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(10 + i + 5iy + 2x)' equal to zero and attempt to solve: Simplifying 10 + i + 5iy + 2x = 0 Solving 10 + i + 5iy + 2x = 0 Move all terms containing i to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + i + 5iy + -10 + 2x = 0 + -10 Reorder the terms: 10 + -10 + i + 5iy + 2x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + i + 5iy + 2x = 0 + -10 i + 5iy + 2x = 0 + -10 Combine like terms: 0 + -10 = -10 i + 5iy + 2x = -10 Add '-2x' to each side of the equation. i + 5iy + 2x + -2x = -10 + -2x Combine like terms: 2x + -2x = 0 i + 5iy + 0 = -10 + -2x i + 5iy = -10 + -2x 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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