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Simplifying (X + 3)(x + -7)(5x + -7) = 0 Reorder the terms: (3 + X)(x + -7)(5x + -7) = 0 Reorder the terms: (3 + X)(-7 + x)(5x + -7) = 0 Reorder the terms: (3 + X)(-7 + x)(-7 + 5x) = 0 Multiply (3 + X) * (-7 + x) (3(-7 + x) + X(-7 + x))(-7 + 5x) = 0 ((-7 * 3 + x * 3) + X(-7 + x))(-7 + 5x) = 0 ((-21 + 3x) + X(-7 + x))(-7 + 5x) = 0 (-21 + 3x + (-7 * X + x * X))(-7 + 5x) = 0 (-21 + 3x + (-7X + xX))(-7 + 5x) = 0 Reorder the terms: (-21 + -7X + 3x + xX)(-7 + 5x) = 0 (-21 + -7X + 3x + xX)(-7 + 5x) = 0 Multiply (-21 + -7X + 3x + xX) * (-7 + 5x) (-21(-7 + 5x) + -7X * (-7 + 5x) + 3x * (-7 + 5x) + xX(-7 + 5x)) = 0 ((-7 * -21 + 5x * -21) + -7X * (-7 + 5x) + 3x * (-7 + 5x) + xX(-7 + 5x)) = 0 ((147 + -105x) + -7X * (-7 + 5x) + 3x * (-7 + 5x) + xX(-7 + 5x)) = 0 (147 + -105x + (-7 * -7X + 5x * -7X) + 3x * (-7 + 5x) + xX(-7 + 5x)) = 0 (147 + -105x + (49X + -35xX) + 3x * (-7 + 5x) + xX(-7 + 5x)) = 0 (147 + -105x + 49X + -35xX + (-7 * 3x + 5x * 3x) + xX(-7 + 5x)) = 0 (147 + -105x + 49X + -35xX + (-21x + 15x2) + xX(-7 + 5x)) = 0 (147 + -105x + 49X + -35xX + -21x + 15x2 + (-7 * xX + 5x * xX)) = 0 (147 + -105x + 49X + -35xX + -21x + 15x2 + (-7xX + 5x2X)) = 0 Reorder the terms: (147 + 49X + -105x + -21x + -35xX + -7xX + 15x2 + 5x2X) = 0 Combine like terms: -105x + -21x = -126x (147 + 49X + -126x + -35xX + -7xX + 15x2 + 5x2X) = 0 Combine like terms: -35xX + -7xX = -42xX (147 + 49X + -126x + -42xX + 15x2 + 5x2X) = 0 Solving 147 + 49X + -126x + -42xX + 15x2 + 5x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-147' to each side of the equation. 147 + 49X + -126x + -42xX + 15x2 + -147 + 5x2X = 0 + -147 Reorder the terms: 147 + -147 + 49X + -126x + -42xX + 15x2 + 5x2X = 0 + -147 Combine like terms: 147 + -147 = 0 0 + 49X + -126x + -42xX + 15x2 + 5x2X = 0 + -147 49X + -126x + -42xX + 15x2 + 5x2X = 0 + -147 Combine like terms: 0 + -147 = -147 49X + -126x + -42xX + 15x2 + 5x2X = -147 Add '126x' to each side of the equation. 49X + -126x + -42xX + 15x2 + 126x + 5x2X = -147 + 126x Reorder the terms: 49X + -126x + 126x + -42xX + 15x2 + 5x2X = -147 + 126x Combine like terms: -126x + 126x = 0 49X + 0 + -42xX + 15x2 + 5x2X = -147 + 126x 49X + -42xX + 15x2 + 5x2X = -147 + 126x Add '-15x2' to each side of the equation. 49X + -42xX + 15x2 + -15x2 + 5x2X = -147 + 126x + -15x2 Combine like terms: 15x2 + -15x2 = 0 49X + -42xX + 0 + 5x2X = -147 + 126x + -15x2 49X + -42xX + 5x2X = -147 + 126x + -15x2 Reorder the terms: 147 + 49X + -126x + -42xX + 15x2 + 5x2X = -147 + 126x + -15x2 + 147 + -126x + 15x2 Reorder the terms: 147 + 49X + -126x + -42xX + 15x2 + 5x2X = -147 + 147 + 126x + -126x + -15x2 + 15x2 Combine like terms: -147 + 147 = 0 147 + 49X + -126x + -42xX + 15x2 + 5x2X = 0 + 126x + -126x + -15x2 + 15x2 147 + 49X + -126x + -42xX + 15x2 + 5x2X = 126x + -126x + -15x2 + 15x2 Combine like terms: 126x + -126x = 0 147 + 49X + -126x + -42xX + 15x2 + 5x2X = 0 + -15x2 + 15x2 147 + 49X + -126x + -42xX + 15x2 + 5x2X = -15x2 + 15x2 Combine like terms: -15x2 + 15x2 = 0 147 + 49X + -126x + -42xX + 15x2 + 5x2X = 0 The solution to this equation could not be determined.
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