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Simplifying (X + -1)(6x2 + -25x + 25) = 0 Reorder the terms: (-1 + X)(6x2 + -25x + 25) = 0 Reorder the terms: (-1 + X)(25 + -25x + 6x2) = 0 Multiply (-1 + X) * (25 + -25x + 6x2) (-1(25 + -25x + 6x2) + X(25 + -25x + 6x2)) = 0 ((25 * -1 + -25x * -1 + 6x2 * -1) + X(25 + -25x + 6x2)) = 0 ((-25 + 25x + -6x2) + X(25 + -25x + 6x2)) = 0 (-25 + 25x + -6x2 + (25 * X + -25x * X + 6x2 * X)) = 0 (-25 + 25x + -6x2 + (25X + -25xX + 6x2X)) = 0 Reorder the terms: (-25 + 25X + 25x + -25xX + -6x2 + 6x2X) = 0 (-25 + 25X + 25x + -25xX + -6x2 + 6x2X) = 0 Solving -25 + 25X + 25x + -25xX + -6x2 + 6x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25X + 25x + -25xX + -6x2 + 25 + 6x2X = 0 + 25 Reorder the terms: -25 + 25 + 25X + 25x + -25xX + -6x2 + 6x2X = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 25X + 25x + -25xX + -6x2 + 6x2X = 0 + 25 25X + 25x + -25xX + -6x2 + 6x2X = 0 + 25 Combine like terms: 0 + 25 = 25 25X + 25x + -25xX + -6x2 + 6x2X = 25 Add '-25x' to each side of the equation. 25X + 25x + -25xX + -6x2 + -25x + 6x2X = 25 + -25x Reorder the terms: 25X + 25x + -25x + -25xX + -6x2 + 6x2X = 25 + -25x Combine like terms: 25x + -25x = 0 25X + 0 + -25xX + -6x2 + 6x2X = 25 + -25x 25X + -25xX + -6x2 + 6x2X = 25 + -25x Add '6x2' to each side of the equation. 25X + -25xX + -6x2 + 6x2 + 6x2X = 25 + -25x + 6x2 Combine like terms: -6x2 + 6x2 = 0 25X + -25xX + 0 + 6x2X = 25 + -25x + 6x2 25X + -25xX + 6x2X = 25 + -25x + 6x2 Reorder the terms: -25 + 25X + 25x + -25xX + -6x2 + 6x2X = 25 + -25x + 6x2 + -25 + 25x + -6x2 Reorder the terms: -25 + 25X + 25x + -25xX + -6x2 + 6x2X = 25 + -25 + -25x + 25x + 6x2 + -6x2 Combine like terms: 25 + -25 = 0 -25 + 25X + 25x + -25xX + -6x2 + 6x2X = 0 + -25x + 25x + 6x2 + -6x2 -25 + 25X + 25x + -25xX + -6x2 + 6x2X = -25x + 25x + 6x2 + -6x2 Combine like terms: -25x + 25x = 0 -25 + 25X + 25x + -25xX + -6x2 + 6x2X = 0 + 6x2 + -6x2 -25 + 25X + 25x + -25xX + -6x2 + 6x2X = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -25 + 25X + 25x + -25xX + -6x2 + 6x2X = 0 The solution to this equation could not be determined.
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