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Simplifying solvex(3x + -1)(x + 1) + -1(5x + -1)(x + -1) = 0 Reorder the terms: elosvx(-1 + 3x)(x + 1) + -1(5x + -1)(x + -1) = 0 Reorder the terms: elosvx(-1 + 3x)(1 + x) + -1(5x + -1)(x + -1) = 0 Multiply (-1 + 3x) * (1 + x) elosvx(-1(1 + x) + 3x * (1 + x)) + -1(5x + -1)(x + -1) = 0 elosvx((1 * -1 + x * -1) + 3x * (1 + x)) + -1(5x + -1)(x + -1) = 0 elosvx((-1 + -1x) + 3x * (1 + x)) + -1(5x + -1)(x + -1) = 0 elosvx(-1 + -1x + (1 * 3x + x * 3x)) + -1(5x + -1)(x + -1) = 0 elosvx(-1 + -1x + (3x + 3x2)) + -1(5x + -1)(x + -1) = 0 Combine like terms: -1x + 3x = 2x elosvx(-1 + 2x + 3x2) + -1(5x + -1)(x + -1) = 0 (-1 * elosvx + 2x * elosvx + 3x2 * elosvx) + -1(5x + -1)(x + -1) = 0 (-1elosvx + 2elosvx2 + 3elosvx3) + -1(5x + -1)(x + -1) = 0 Reorder the terms: -1elosvx + 2elosvx2 + 3elosvx3 + -1(-1 + 5x)(x + -1) = 0 Reorder the terms: -1elosvx + 2elosvx2 + 3elosvx3 + -1(-1 + 5x)(-1 + x) = 0 Multiply (-1 + 5x) * (-1 + x) -1elosvx + 2elosvx2 + 3elosvx3 + -1(-1(-1 + x) + 5x * (-1 + x)) = 0 -1elosvx + 2elosvx2 + 3elosvx3 + -1((-1 * -1 + x * -1) + 5x * (-1 + x)) = 0 -1elosvx + 2elosvx2 + 3elosvx3 + -1((1 + -1x) + 5x * (-1 + x)) = 0 -1elosvx + 2elosvx2 + 3elosvx3 + -1(1 + -1x + (-1 * 5x + x * 5x)) = 0 -1elosvx + 2elosvx2 + 3elosvx3 + -1(1 + -1x + (-5x + 5x2)) = 0 Combine like terms: -1x + -5x = -6x -1elosvx + 2elosvx2 + 3elosvx3 + -1(1 + -6x + 5x2) = 0 -1elosvx + 2elosvx2 + 3elosvx3 + (1 * -1 + -6x * -1 + 5x2 * -1) = 0 -1elosvx + 2elosvx2 + 3elosvx3 + (-1 + 6x + -5x2) = 0 Reorder the terms: -1 + -1elosvx + 2elosvx2 + 3elosvx3 + 6x + -5x2 = 0 Solving -1 + -1elosvx + 2elosvx2 + 3elosvx3 + 6x + -5x2 = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1elosvx + 2elosvx2 + 3elosvx3 + 6x + 1 + -5x2 = 0 + 1 Reorder the terms: -1 + 1 + -1elosvx + 2elosvx2 + 3elosvx3 + 6x + -5x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1elosvx + 2elosvx2 + 3elosvx3 + 6x + -5x2 = 0 + 1 -1elosvx + 2elosvx2 + 3elosvx3 + 6x + -5x2 = 0 + 1 Combine like terms: 0 + 1 = 1 -1elosvx + 2elosvx2 + 3elosvx3 + 6x + -5x2 = 1 Add '-6x' to each side of the equation. -1elosvx + 2elosvx2 + 3elosvx3 + 6x + -6x + -5x2 = 1 + -6x Combine like terms: 6x + -6x = 0 -1elosvx + 2elosvx2 + 3elosvx3 + 0 + -5x2 = 1 + -6x -1elosvx + 2elosvx2 + 3elosvx3 + -5x2 = 1 + -6x Add '5x2' to each side of the equation. -1elosvx + 2elosvx2 + 3elosvx3 + -5x2 + 5x2 = 1 + -6x + 5x2 Combine like terms: -5x2 + 5x2 = 0 -1elosvx + 2elosvx2 + 3elosvx3 + 0 = 1 + -6x + 5x2 -1elosvx + 2elosvx2 + 3elosvx3 = 1 + -6x + 5x2 Reorder the terms: -1 + -1elosvx + 2elosvx2 + 3elosvx3 + 6x + -5x2 = 1 + -6x + 5x2 + -1 + 6x + -5x2 Reorder the terms: -1 + -1elosvx + 2elosvx2 + 3elosvx3 + 6x + -5x2 = 1 + -1 + -6x + 6x + 5x2 + -5x2 Combine like terms: 1 + -1 = 0 -1 + -1elosvx + 2elosvx2 + 3elosvx3 + 6x + -5x2 = 0 + -6x + 6x + 5x2 + -5x2 -1 + -1elosvx + 2elosvx2 + 3elosvx3 + 6x + -5x2 = -6x + 6x + 5x2 + -5x2 Combine like terms: -6x + 6x = 0 -1 + -1elosvx + 2elosvx2 + 3elosvx3 + 6x + -5x2 = 0 + 5x2 + -5x2 -1 + -1elosvx + 2elosvx2 + 3elosvx3 + 6x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -1 + -1elosvx + 2elosvx2 + 3elosvx3 + 6x + -5x2 = 0 The solution to this equation could not be determined.
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