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Simplifying 3x(3x + -4) * x(6 + -7x) = 2x + -1 Reorder the terms: 3x(-4 + 3x) * x(6 + -7x) = 2x + -1 Reorder the terms for easier multiplication: 3x * x(-4 + 3x)(6 + -7x) = 2x + -1 Multiply x * x 3x2(-4 + 3x)(6 + -7x) = 2x + -1 Multiply (-4 + 3x) * (6 + -7x) 3x2(-4(6 + -7x) + 3x * (6 + -7x)) = 2x + -1 3x2((6 * -4 + -7x * -4) + 3x * (6 + -7x)) = 2x + -1 3x2((-24 + 28x) + 3x * (6 + -7x)) = 2x + -1 3x2(-24 + 28x + (6 * 3x + -7x * 3x)) = 2x + -1 3x2(-24 + 28x + (18x + -21x2)) = 2x + -1 Combine like terms: 28x + 18x = 46x 3x2(-24 + 46x + -21x2) = 2x + -1 (-24 * 3x2 + 46x * 3x2 + -21x2 * 3x2) = 2x + -1 (-72x2 + 138x3 + -63x4) = 2x + -1 Reorder the terms: -72x2 + 138x3 + -63x4 = -1 + 2x Solving -72x2 + 138x3 + -63x4 = -1 + 2x Solving for variable 'x'. Reorder the terms: 1 + -2x + -72x2 + 138x3 + -63x4 = -1 + 2x + 1 + -2x Reorder the terms: 1 + -2x + -72x2 + 138x3 + -63x4 = -1 + 1 + 2x + -2x Combine like terms: -1 + 1 = 0 1 + -2x + -72x2 + 138x3 + -63x4 = 0 + 2x + -2x 1 + -2x + -72x2 + 138x3 + -63x4 = 2x + -2x Combine like terms: 2x + -2x = 0 1 + -2x + -72x2 + 138x3 + -63x4 = 0 The solution to this equation could not be determined.
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