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Simplifying [5y + (6x + 3)][5y + -1(6 + 3)] = 0 Reorder the terms: [5y + (3 + 6x)][5y + -1(6 + 3)] = 0 Remove parenthesis around (3 + 6x) [5y + 3 + 6x][5y + -1(6 + 3)] = 0 Reorder the terms: [3 + 6x + 5y][5y + -1(6 + 3)] = 0 Combine like terms: 6 + 3 = 9 [3 + 6x + 5y][5y + -1(9)] = 0 Multiply -1 * 9 [3 + 6x + 5y][5y + -9] = 0 Reorder the terms: [3 + 6x + 5y][-9 + 5y] = 0 Multiply [3 + 6x + 5y] * [-9 + 5y] [3[-9 + 5y] + 6x * [-9 + 5y] + 5y * [-9 + 5y]] = 0 [[-9 * 3 + 5y * 3] + 6x * [-9 + 5y] + 5y * [-9 + 5y]] = 0 [[-27 + 15y] + 6x * [-9 + 5y] + 5y * [-9 + 5y]] = 0 [-27 + 15y + [-9 * 6x + 5y * 6x] + 5y * [-9 + 5y]] = 0 [-27 + 15y + [-54x + 30xy] + 5y * [-9 + 5y]] = 0 [-27 + 15y + -54x + 30xy + [-9 * 5y + 5y * 5y]] = 0 [-27 + 15y + -54x + 30xy + [-45y + 25y2]] = 0 Reorder the terms: [-27 + -54x + 30xy + 15y + -45y + 25y2] = 0 Combine like terms: 15y + -45y = -30y [-27 + -54x + 30xy + -30y + 25y2] = 0 Solving -27 + -54x + 30xy + -30y + 25y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + -54x + 30xy + -30y + 27 + 25y2 = 0 + 27 Reorder the terms: -27 + 27 + -54x + 30xy + -30y + 25y2 = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -54x + 30xy + -30y + 25y2 = 0 + 27 -54x + 30xy + -30y + 25y2 = 0 + 27 Combine like terms: 0 + 27 = 27 -54x + 30xy + -30y + 25y2 = 27 Add '30y' to each side of the equation. -54x + 30xy + -30y + 30y + 25y2 = 27 + 30y Combine like terms: -30y + 30y = 0 -54x + 30xy + 0 + 25y2 = 27 + 30y -54x + 30xy + 25y2 = 27 + 30y Add '-25y2' to each side of the equation. -54x + 30xy + 25y2 + -25y2 = 27 + 30y + -25y2 Combine like terms: 25y2 + -25y2 = 0 -54x + 30xy + 0 = 27 + 30y + -25y2 -54x + 30xy = 27 + 30y + -25y2 Reorder the terms: -27 + -54x + 30xy + -30y + 25y2 = 27 + 30y + -25y2 + -27 + -30y + 25y2 Reorder the terms: -27 + -54x + 30xy + -30y + 25y2 = 27 + -27 + 30y + -30y + -25y2 + 25y2 Combine like terms: 27 + -27 = 0 -27 + -54x + 30xy + -30y + 25y2 = 0 + 30y + -30y + -25y2 + 25y2 -27 + -54x + 30xy + -30y + 25y2 = 30y + -30y + -25y2 + 25y2 Combine like terms: 30y + -30y = 0 -27 + -54x + 30xy + -30y + 25y2 = 0 + -25y2 + 25y2 -27 + -54x + 30xy + -30y + 25y2 = -25y2 + 25y2 Combine like terms: -25y2 + 25y2 = 0 -27 + -54x + 30xy + -30y + 25y2 = 0 The solution to this equation could not be determined.
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