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Simplifying [9y + (4x + 6)][9y + -1(4x + 6)] = 0 Reorder the terms: [9y + (6 + 4x)][9y + -1(4x + 6)] = 0 Remove parenthesis around (6 + 4x) [9y + 6 + 4x][9y + -1(4x + 6)] = 0 Reorder the terms: [6 + 4x + 9y][9y + -1(4x + 6)] = 0 Reorder the terms: [6 + 4x + 9y][9y + -1(6 + 4x)] = 0 [6 + 4x + 9y][9y + (6 * -1 + 4x * -1)] = 0 [6 + 4x + 9y][9y + (-6 + -4x)] = 0 Reorder the terms: [6 + 4x + 9y][-6 + -4x + 9y] = 0 Multiply [6 + 4x + 9y] * [-6 + -4x + 9y] [6[-6 + -4x + 9y] + 4x * [-6 + -4x + 9y] + 9y * [-6 + -4x + 9y]] = 0 [[-6 * 6 + -4x * 6 + 9y * 6] + 4x * [-6 + -4x + 9y] + 9y * [-6 + -4x + 9y]] = 0 [[-36 + -24x + 54y] + 4x * [-6 + -4x + 9y] + 9y * [-6 + -4x + 9y]] = 0 [-36 + -24x + 54y + [-6 * 4x + -4x * 4x + 9y * 4x] + 9y * [-6 + -4x + 9y]] = 0 Reorder the terms: [-36 + -24x + 54y + [-24x + 36xy + -16x2] + 9y * [-6 + -4x + 9y]] = 0 [-36 + -24x + 54y + [-24x + 36xy + -16x2] + 9y * [-6 + -4x + 9y]] = 0 [-36 + -24x + 54y + -24x + 36xy + -16x2 + [-6 * 9y + -4x * 9y + 9y * 9y]] = 0 Reorder the terms: [-36 + -24x + 54y + -24x + 36xy + -16x2 + [-36xy + -54y + 81y2]] = 0 [-36 + -24x + 54y + -24x + 36xy + -16x2 + [-36xy + -54y + 81y2]] = 0 Reorder the terms: [-36 + -24x + -24x + 36xy + -36xy + -16x2 + 54y + -54y + 81y2] = 0 Combine like terms: -24x + -24x = -48x [-36 + -48x + 36xy + -36xy + -16x2 + 54y + -54y + 81y2] = 0 Combine like terms: 36xy + -36xy = 0 [-36 + -48x + 0 + -16x2 + 54y + -54y + 81y2] = 0 [-36 + -48x + -16x2 + 54y + -54y + 81y2] = 0 Combine like terms: 54y + -54y = 0 [-36 + -48x + -16x2 + 0 + 81y2] = 0 [-36 + -48x + -16x2 + 81y2] = 0 Solving -36 + -48x + -16x2 + 81y2 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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