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Simplifying (3x + 8x) + (y + 13y + 19) * i = (2x + 12x) + (y + 10y + 4) * i Combine like terms: 3x + 8x = 11x (11x) + (y + 13y + 19) * i = (2x + 12x) + (y + 10y + 4) * i (11x) + (y + 13y + 19) * i = (2x + 12x) + (y + 10y + 4) * i Reorder the terms: (11x) + (19 + y + 13y) * i = (2x + 12x) + (y + 10y + 4) * i Combine like terms: y + 13y = 14y (11x) + (19 + 14y) * i = (2x + 12x) + (y + 10y + 4) * i Reorder the terms for easier multiplication: (11x) + i(19 + 14y) = (2x + 12x) + (y + 10y + 4) * i (11x) + (19 * i + 14y * i) = (2x + 12x) + (y + 10y + 4) * i (11x) + (19i + 14iy) = (2x + 12x) + (y + 10y + 4) * i Reorder the terms: 19i + 14iy + (11x) = (2x + 12x) + (y + 10y + 4) * i Combine like terms: 2x + 12x = 14x 19i + 14iy + (11x) = (14x) + (y + 10y + 4) * i 19i + 14iy + (11x) = (14x) + (y + 10y + 4) * i Reorder the terms: 19i + 14iy + (11x) = (14x) + (4 + y + 10y) * i Combine like terms: y + 10y = 11y 19i + 14iy + (11x) = (14x) + (4 + 11y) * i Reorder the terms for easier multiplication: 19i + 14iy + (11x) = (14x) + i(4 + 11y) 19i + 14iy + (11x) = (14x) + (4 * i + 11y * i) 19i + 14iy + (11x) = (14x) + (4i + 11iy) Reorder the terms: 19i + 14iy + (11x) = 4i + 11iy + (14x) Solving 19i + 14iy + (11x) = 4i + 11iy + (14x) Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4i' to each side of the equation. 19i + 14iy + -4i + (11x) = 4i + 11iy + -4i + (14x) Reorder the terms: 19i + -4i + 14iy + (11x) = 4i + 11iy + -4i + (14x) Combine like terms: 19i + -4i = 15i 15i + 14iy + (11x) = 4i + 11iy + -4i + (14x) Reorder the terms: 15i + 14iy + (11x) = 4i + -4i + 11iy + (14x) Combine like terms: 4i + -4i = 0 15i + 14iy + (11x) = 0 + 11iy + (14x) 15i + 14iy + (11x) = 11iy + (14x) Add '-11iy' to each side of the equation. 15i + 14iy + -11iy + (11x) = 11iy + -11iy + (14x) Combine like terms: 14iy + -11iy = 3iy 15i + 3iy + (11x) = 11iy + -11iy + (14x) Combine like terms: 11iy + -11iy = 0 15i + 3iy + (11x) = 0 + (14x) 15i + 3iy + (11x) = (14x) Add '(-11x)' to each side of the equation. 15i + 3iy + (11x) + (-11x) = (14x) + (-11x) Combine like terms: (11x) + (-11x) = 0 15i + 3iy + 0 = (14x) + (-11x) 15i + 3iy = (14x) + (-11x) Combine like terms: (14x) + (-11x) = 3x 15i + 3iy = 3x Combine like terms: 3x + -3x = 0 15i + 3iy + -3x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(5i + iy + -1x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(5i + iy + -1x)' equal to zero and attempt to solve: Simplifying 5i + iy + -1x = 0 Solving 5i + iy + -1x = 0 Move all terms containing i to the left, all other terms to the right. Add 'x' to each side of the equation. 5i + iy + -1x + x = 0 + x Combine like terms: -1x + x = 0 5i + iy + 0 = 0 + x 5i + iy = 0 + x Remove the zero: 5i + iy = x 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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