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Simplifying 8(x + -5) + (4y) * i = 40i + 72 Reorder the terms: 8(-5 + x) + (4y) * i = 40i + 72 (-5 * 8 + x * 8) + (4y) * i = 40i + 72 (-40 + 8x) + (4y) * i = 40i + 72 Remove parenthesis around (4y) -40 + 8x + 4y * i = 40i + 72 Multiply y * i -40 + 8x + 4iy = 40i + 72 Reorder the terms: -40 + 4iy + 8x = 40i + 72 Reorder the terms: -40 + 4iy + 8x = 72 + 40i Solving -40 + 4iy + 8x = 72 + 40i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-40i' to each side of the equation. -40 + 4iy + -40i + 8x = 72 + 40i + -40i Reorder the terms: -40 + -40i + 4iy + 8x = 72 + 40i + -40i Combine like terms: 40i + -40i = 0 -40 + -40i + 4iy + 8x = 72 + 0 -40 + -40i + 4iy + 8x = 72 Add '40' to each side of the equation. -40 + -40i + 4iy + 40 + 8x = 72 + 40 Reorder the terms: -40 + 40 + -40i + 4iy + 8x = 72 + 40 Combine like terms: -40 + 40 = 0 0 + -40i + 4iy + 8x = 72 + 40 -40i + 4iy + 8x = 72 + 40 Combine like terms: 72 + 40 = 112 -40i + 4iy + 8x = 112 Add '-8x' to each side of the equation. -40i + 4iy + 8x + -8x = 112 + -8x Combine like terms: 8x + -8x = 0 -40i + 4iy + 0 = 112 + -8x -40i + 4iy = 112 + -8x Reorder the terms: -112 + -40i + 4iy + 8x = 112 + -8x + -112 + 8x Reorder the terms: -112 + -40i + 4iy + 8x = 112 + -112 + -8x + 8x Combine like terms: 112 + -112 = 0 -112 + -40i + 4iy + 8x = 0 + -8x + 8x -112 + -40i + 4iy + 8x = -8x + 8x Combine like terms: -8x + 8x = 0 -112 + -40i + 4iy + 8x = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-28 + -10i + iy + 2x) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-28 + -10i + iy + 2x)' equal to zero and attempt to solve: Simplifying -28 + -10i + iy + 2x = 0 Solving -28 + -10i + iy + 2x = 0 Move all terms containing i to the left, all other terms to the right. Add '28' to each side of the equation. -28 + -10i + iy + 28 + 2x = 0 + 28 Reorder the terms: -28 + 28 + -10i + iy + 2x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -10i + iy + 2x = 0 + 28 -10i + iy + 2x = 0 + 28 Combine like terms: 0 + 28 = 28 -10i + iy + 2x = 28 Add '-2x' to each side of the equation. -10i + iy + 2x + -2x = 28 + -2x Combine like terms: 2x + -2x = 0 -10i + iy + 0 = 28 + -2x -10i + iy = 28 + -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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