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Simplifying 4(3 + 7y) + 6(2 + -1y) * ify = 2 (3 * 4 + 7y * 4) + 6(2 + -1y) * ify = 2 (12 + 28y) + 6(2 + -1y) * ify = 2 Reorder the terms for easier multiplication: 12 + 28y + 6fiy(2 + -1y) = 2 12 + 28y + (2 * 6fiy + -1y * 6fiy) = 2 12 + 28y + (12fiy + -6fiy2) = 2 Reorder the terms: 12 + 12fiy + -6fiy2 + 28y = 2 Solving 12 + 12fiy + -6fiy2 + 28y = 2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 12fiy + -6fiy2 + -12 + 28y = 2 + -12 Reorder the terms: 12 + -12 + 12fiy + -6fiy2 + 28y = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 12fiy + -6fiy2 + 28y = 2 + -12 12fiy + -6fiy2 + 28y = 2 + -12 Combine like terms: 2 + -12 = -10 12fiy + -6fiy2 + 28y = -10 Add '-28y' to each side of the equation. 12fiy + -6fiy2 + 28y + -28y = -10 + -28y Combine like terms: 28y + -28y = 0 12fiy + -6fiy2 + 0 = -10 + -28y 12fiy + -6fiy2 = -10 + -28y Reorder the terms: 10 + 12fiy + -6fiy2 + 28y = -10 + -28y + 10 + 28y Reorder the terms: 10 + 12fiy + -6fiy2 + 28y = -10 + 10 + -28y + 28y Combine like terms: -10 + 10 = 0 10 + 12fiy + -6fiy2 + 28y = 0 + -28y + 28y 10 + 12fiy + -6fiy2 + 28y = -28y + 28y Combine like terms: -28y + 28y = 0 10 + 12fiy + -6fiy2 + 28y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + 6fiy + -3fiy2 + 14y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + 6fiy + -3fiy2 + 14y)' equal to zero and attempt to solve: Simplifying 5 + 6fiy + -3fiy2 + 14y = 0 Solving 5 + 6fiy + -3fiy2 + 14y = 0 Move all terms containing f to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 6fiy + -3fiy2 + -5 + 14y = 0 + -5 Reorder the terms: 5 + -5 + 6fiy + -3fiy2 + 14y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6fiy + -3fiy2 + 14y = 0 + -5 6fiy + -3fiy2 + 14y = 0 + -5 Combine like terms: 0 + -5 = -5 6fiy + -3fiy2 + 14y = -5 Add '-14y' to each side of the equation. 6fiy + -3fiy2 + 14y + -14y = -5 + -14y Combine like terms: 14y + -14y = 0 6fiy + -3fiy2 + 0 = -5 + -14y 6fiy + -3fiy2 = -5 + -14y 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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