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Simplifying (4x + 7y)(4x + 7y) + -1(4x + -7y)(4x + -7y) = 0 Multiply (4x + 7y) * (4x + 7y) (4x * (4x + 7y) + 7y * (4x + 7y)) + -1(4x + -7y)(4x + -7y) = 0 ((4x * 4x + 7y * 4x) + 7y * (4x + 7y)) + -1(4x + -7y)(4x + -7y) = 0 Reorder the terms: ((28xy + 16x2) + 7y * (4x + 7y)) + -1(4x + -7y)(4x + -7y) = 0 ((28xy + 16x2) + 7y * (4x + 7y)) + -1(4x + -7y)(4x + -7y) = 0 (28xy + 16x2 + (4x * 7y + 7y * 7y)) + -1(4x + -7y)(4x + -7y) = 0 (28xy + 16x2 + (28xy + 49y2)) + -1(4x + -7y)(4x + -7y) = 0 Reorder the terms: (28xy + 28xy + 16x2 + 49y2) + -1(4x + -7y)(4x + -7y) = 0 Combine like terms: 28xy + 28xy = 56xy (56xy + 16x2 + 49y2) + -1(4x + -7y)(4x + -7y) = 0 Multiply (4x + -7y) * (4x + -7y) 56xy + 16x2 + 49y2 + -1(4x * (4x + -7y) + -7y * (4x + -7y)) = 0 56xy + 16x2 + 49y2 + -1((4x * 4x + -7y * 4x) + -7y * (4x + -7y)) = 0 Reorder the terms: 56xy + 16x2 + 49y2 + -1((-28xy + 16x2) + -7y * (4x + -7y)) = 0 56xy + 16x2 + 49y2 + -1((-28xy + 16x2) + -7y * (4x + -7y)) = 0 56xy + 16x2 + 49y2 + -1(-28xy + 16x2 + (4x * -7y + -7y * -7y)) = 0 56xy + 16x2 + 49y2 + -1(-28xy + 16x2 + (-28xy + 49y2)) = 0 Reorder the terms: 56xy + 16x2 + 49y2 + -1(-28xy + -28xy + 16x2 + 49y2) = 0 Combine like terms: -28xy + -28xy = -56xy 56xy + 16x2 + 49y2 + -1(-56xy + 16x2 + 49y2) = 0 56xy + 16x2 + 49y2 + (-56xy * -1 + 16x2 * -1 + 49y2 * -1) = 0 56xy + 16x2 + 49y2 + (56xy + -16x2 + -49y2) = 0 Reorder the terms: 56xy + 56xy + 16x2 + -16x2 + 49y2 + -49y2 = 0 Combine like terms: 56xy + 56xy = 112xy 112xy + 16x2 + -16x2 + 49y2 + -49y2 = 0 Combine like terms: 16x2 + -16x2 = 0 112xy + 0 + 49y2 + -49y2 = 0 112xy + 49y2 + -49y2 = 0 Combine like terms: 49y2 + -49y2 = 0 112xy + 0 = 0 112xy = 0 Solving 112xy = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '112'. xy = 0 Simplifying xy = 0 The solution to this equation could not be determined.
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