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Simplifying (X2 + -8x + -8)(7x2 + -3x + -7) = 0 Reorder the terms: (-8 + X2 + -8x)(7x2 + -3x + -7) = 0 Reorder the terms: (-8 + X2 + -8x)(-7 + -3x + 7x2) = 0 Multiply (-8 + X2 + -8x) * (-7 + -3x + 7x2) (-8(-7 + -3x + 7x2) + X2(-7 + -3x + 7x2) + -8x * (-7 + -3x + 7x2)) = 0 ((-7 * -8 + -3x * -8 + 7x2 * -8) + X2(-7 + -3x + 7x2) + -8x * (-7 + -3x + 7x2)) = 0 ((56 + 24x + -56x2) + X2(-7 + -3x + 7x2) + -8x * (-7 + -3x + 7x2)) = 0 (56 + 24x + -56x2 + (-7 * X2 + -3x * X2 + 7x2 * X2) + -8x * (-7 + -3x + 7x2)) = 0 (56 + 24x + -56x2 + (-7X2 + -3xX2 + 7x2X2) + -8x * (-7 + -3x + 7x2)) = 0 (56 + 24x + -56x2 + -7X2 + -3xX2 + 7x2X2 + (-7 * -8x + -3x * -8x + 7x2 * -8x)) = 0 (56 + 24x + -56x2 + -7X2 + -3xX2 + 7x2X2 + (56x + 24x2 + -56x3)) = 0 Reorder the terms: (56 + -7X2 + 24x + 56x + -3xX2 + -56x2 + 24x2 + 7x2X2 + -56x3) = 0 Combine like terms: 24x + 56x = 80x (56 + -7X2 + 80x + -3xX2 + -56x2 + 24x2 + 7x2X2 + -56x3) = 0 Combine like terms: -56x2 + 24x2 = -32x2 (56 + -7X2 + 80x + -3xX2 + -32x2 + 7x2X2 + -56x3) = 0 Solving 56 + -7X2 + 80x + -3xX2 + -32x2 + 7x2X2 + -56x3 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -7X2 + 80x + -3xX2 + -32x2 + 7x2X2 + -56 + -56x3 = 0 + -56 Reorder the terms: 56 + -56 + -7X2 + 80x + -3xX2 + -32x2 + 7x2X2 + -56x3 = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -7X2 + 80x + -3xX2 + -32x2 + 7x2X2 + -56x3 = 0 + -56 -7X2 + 80x + -3xX2 + -32x2 + 7x2X2 + -56x3 = 0 + -56 Combine like terms: 0 + -56 = -56 -7X2 + 80x + -3xX2 + -32x2 + 7x2X2 + -56x3 = -56 Add '-80x' to each side of the equation. -7X2 + 80x + -3xX2 + -32x2 + 7x2X2 + -80x + -56x3 = -56 + -80x Reorder the terms: -7X2 + 80x + -80x + -3xX2 + -32x2 + 7x2X2 + -56x3 = -56 + -80x Combine like terms: 80x + -80x = 0 -7X2 + 0 + -3xX2 + -32x2 + 7x2X2 + -56x3 = -56 + -80x -7X2 + -3xX2 + -32x2 + 7x2X2 + -56x3 = -56 + -80x Add '32x2' to each side of the equation. -7X2 + -3xX2 + -32x2 + 7x2X2 + 32x2 + -56x3 = -56 + -80x + 32x2 Reorder the terms: -7X2 + -3xX2 + -32x2 + 32x2 + 7x2X2 + -56x3 = -56 + -80x + 32x2 Combine like terms: -32x2 + 32x2 = 0 -7X2 + -3xX2 + 0 + 7x2X2 + -56x3 = -56 + -80x + 32x2 -7X2 + -3xX2 + 7x2X2 + -56x3 = -56 + -80x + 32x2 Add '56x3' to each side of the equation. -7X2 + -3xX2 + 7x2X2 + -56x3 + 56x3 = -56 + -80x + 32x2 + 56x3 Combine like terms: -56x3 + 56x3 = 0 -7X2 + -3xX2 + 7x2X2 + 0 = -56 + -80x + 32x2 + 56x3 -7X2 + -3xX2 + 7x2X2 = -56 + -80x + 32x2 + 56x3 Reorder the terms: 56 + -7X2 + 80x + -3xX2 + -32x2 + 7x2X2 + -56x3 = -56 + -80x + 32x2 + 56x3 + 56 + 80x + -32x2 + -56x3 Reorder the terms: 56 + -7X2 + 80x + -3xX2 + -32x2 + 7x2X2 + -56x3 = -56 + 56 + -80x + 80x + 32x2 + -32x2 + 56x3 + -56x3 Combine like terms: -56 + 56 = 0 56 + -7X2 + 80x + -3xX2 + -32x2 + 7x2X2 + -56x3 = 0 + -80x + 80x + 32x2 + -32x2 + 56x3 + -56x3 56 + -7X2 + 80x + -3xX2 + -32x2 + 7x2X2 + -56x3 = -80x + 80x + 32x2 + -32x2 + 56x3 + -56x3 Combine like terms: -80x + 80x = 0 56 + -7X2 + 80x + -3xX2 + -32x2 + 7x2X2 + -56x3 = 0 + 32x2 + -32x2 + 56x3 + -56x3 56 + -7X2 + 80x + -3xX2 + -32x2 + 7x2X2 + -56x3 = 32x2 + -32x2 + 56x3 + -56x3 Combine like terms: 32x2 + -32x2 = 0 56 + -7X2 + 80x + -3xX2 + -32x2 + 7x2X2 + -56x3 = 0 + 56x3 + -56x3 56 + -7X2 + 80x + -3xX2 + -32x2 + 7x2X2 + -56x3 = 56x3 + -56x3 Combine like terms: 56x3 + -56x3 = 0 56 + -7X2 + 80x + -3xX2 + -32x2 + 7x2X2 + -56x3 = 0 The solution to this equation could not be determined.
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