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Simplifying (7x3 + -1by4)(7x3 + -6y4) + -1(7x3 + -6y4) = 0 Reorder the terms: (-1by4 + 7x3)(7x3 + -6y4) + -1(7x3 + -6y4) = 0 Multiply (-1by4 + 7x3) * (7x3 + -6y4) (-1by4 * (7x3 + -6y4) + 7x3 * (7x3 + -6y4)) + -1(7x3 + -6y4) = 0 ((7x3 * -1by4 + -6y4 * -1by4) + 7x3 * (7x3 + -6y4)) + -1(7x3 + -6y4) = 0 ((-7bx3y4 + 6by8) + 7x3 * (7x3 + -6y4)) + -1(7x3 + -6y4) = 0 (-7bx3y4 + 6by8 + (7x3 * 7x3 + -6y4 * 7x3)) + -1(7x3 + -6y4) = 0 Reorder the terms: (-7bx3y4 + 6by8 + (-42x3y4 + 49x6)) + -1(7x3 + -6y4) = 0 (-7bx3y4 + 6by8 + (-42x3y4 + 49x6)) + -1(7x3 + -6y4) = 0 (-7bx3y4 + 6by8 + -42x3y4 + 49x6) + -1(7x3 + -6y4) = 0 -7bx3y4 + 6by8 + -42x3y4 + 49x6 + (7x3 * -1 + -6y4 * -1) = 0 -7bx3y4 + 6by8 + -42x3y4 + 49x6 + (-7x3 + 6y4) = 0 Reorder the terms: -7bx3y4 + 6by8 + -7x3 + -42x3y4 + 49x6 + 6y4 = 0 Solving -7bx3y4 + 6by8 + -7x3 + -42x3y4 + 49x6 + 6y4 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7x3' to each side of the equation. -7bx3y4 + 6by8 + -7x3 + -42x3y4 + 49x6 + 7x3 + 6y4 = 0 + 7x3 Reorder the terms: -7bx3y4 + 6by8 + -7x3 + 7x3 + -42x3y4 + 49x6 + 6y4 = 0 + 7x3 Combine like terms: -7x3 + 7x3 = 0 -7bx3y4 + 6by8 + 0 + -42x3y4 + 49x6 + 6y4 = 0 + 7x3 -7bx3y4 + 6by8 + -42x3y4 + 49x6 + 6y4 = 0 + 7x3 Remove the zero: -7bx3y4 + 6by8 + -42x3y4 + 49x6 + 6y4 = 7x3 Add '42x3y4' to each side of the equation. -7bx3y4 + 6by8 + -42x3y4 + 49x6 + 42x3y4 + 6y4 = 7x3 + 42x3y4 Reorder the terms: -7bx3y4 + 6by8 + -42x3y4 + 42x3y4 + 49x6 + 6y4 = 7x3 + 42x3y4 Combine like terms: -42x3y4 + 42x3y4 = 0 -7bx3y4 + 6by8 + 0 + 49x6 + 6y4 = 7x3 + 42x3y4 -7bx3y4 + 6by8 + 49x6 + 6y4 = 7x3 + 42x3y4 Add '-49x6' to each side of the equation. -7bx3y4 + 6by8 + 49x6 + -49x6 + 6y4 = 7x3 + 42x3y4 + -49x6 Combine like terms: 49x6 + -49x6 = 0 -7bx3y4 + 6by8 + 0 + 6y4 = 7x3 + 42x3y4 + -49x6 -7bx3y4 + 6by8 + 6y4 = 7x3 + 42x3y4 + -49x6 Add '-6y4' to each side of the equation. -7bx3y4 + 6by8 + 6y4 + -6y4 = 7x3 + 42x3y4 + -49x6 + -6y4 Combine like terms: 6y4 + -6y4 = 0 -7bx3y4 + 6by8 + 0 = 7x3 + 42x3y4 + -49x6 + -6y4 -7bx3y4 + 6by8 = 7x3 + 42x3y4 + -49x6 + -6y4 Reorder the terms: -7bx3y4 + 6by8 + -7x3 + -42x3y4 + 49x6 + 6y4 = 7x3 + -7x3 + 42x3y4 + -42x3y4 + -49x6 + 49x6 + -6y4 + 6y4 Combine like terms: 7x3 + -7x3 = 0 -7bx3y4 + 6by8 + -7x3 + -42x3y4 + 49x6 + 6y4 = 0 + 42x3y4 + -42x3y4 + -49x6 + 49x6 + -6y4 + 6y4 -7bx3y4 + 6by8 + -7x3 + -42x3y4 + 49x6 + 6y4 = 42x3y4 + -42x3y4 + -49x6 + 49x6 + -6y4 + 6y4 Combine like terms: 42x3y4 + -42x3y4 = 0 -7bx3y4 + 6by8 + -7x3 + -42x3y4 + 49x6 + 6y4 = 0 + -49x6 + 49x6 + -6y4 + 6y4 -7bx3y4 + 6by8 + -7x3 + -42x3y4 + 49x6 + 6y4 = -49x6 + 49x6 + -6y4 + 6y4 Combine like terms: -49x6 + 49x6 = 0 -7bx3y4 + 6by8 + -7x3 + -42x3y4 + 49x6 + 6y4 = 0 + -6y4 + 6y4 -7bx3y4 + 6by8 + -7x3 + -42x3y4 + 49x6 + 6y4 = -6y4 + 6y4 Combine like terms: -6y4 + 6y4 = 0 -7bx3y4 + 6by8 + -7x3 + -42x3y4 + 49x6 + 6y4 = 0 The solution to this equation could not be determined.
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