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Simplifying 6x + -6(e3x2 + -6x + 2y2 + -1y) = 0 Reorder the terms: 6x + -6(e3x2 + -6x + -1y + 2y2) = 0 6x + (e3x2 * -6 + -6x * -6 + -1y * -6 + 2y2 * -6) = 0 6x + (-6e3x2 + 36x + 6y + -12y2) = 0 Reorder the terms: -6e3x2 + 6x + 36x + 6y + -12y2 = 0 Combine like terms: 6x + 36x = 42x -6e3x2 + 42x + 6y + -12y2 = 0 Solving -6e3x2 + 42x + 6y + -12y2 = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-42x' to each side of the equation. -6e3x2 + 42x + 6y + -42x + -12y2 = 0 + -42x Reorder the terms: -6e3x2 + 42x + -42x + 6y + -12y2 = 0 + -42x Combine like terms: 42x + -42x = 0 -6e3x2 + 0 + 6y + -12y2 = 0 + -42x -6e3x2 + 6y + -12y2 = 0 + -42x Remove the zero: -6e3x2 + 6y + -12y2 = -42x Add '-6y' to each side of the equation. -6e3x2 + 6y + -6y + -12y2 = -42x + -6y Combine like terms: 6y + -6y = 0 -6e3x2 + 0 + -12y2 = -42x + -6y -6e3x2 + -12y2 = -42x + -6y Add '12y2' to each side of the equation. -6e3x2 + -12y2 + 12y2 = -42x + -6y + 12y2 Combine like terms: -12y2 + 12y2 = 0 -6e3x2 + 0 = -42x + -6y + 12y2 -6e3x2 = -42x + -6y + 12y2 Divide each side by '-6x2'. e3 = 7x-1 + x-2y + -2x-2y2 Simplifying e3 = 7x-1 + x-2y + -2x-2y2 Reorder the terms: e3 = x-2y + -2x-2y2 + 7x-1 Reorder the terms: e3 + -1x-2y + 2x-2y2 + -7x-1 = x-2y + -1x-2y + -2x-2y2 + 2x-2y2 + 7x-1 + -7x-1 Combine like terms: x-2y + -1x-2y = 0 e3 + -1x-2y + 2x-2y2 + -7x-1 = 0 + -2x-2y2 + 2x-2y2 + 7x-1 + -7x-1 e3 + -1x-2y + 2x-2y2 + -7x-1 = -2x-2y2 + 2x-2y2 + 7x-1 + -7x-1 Combine like terms: -2x-2y2 + 2x-2y2 = 0 e3 + -1x-2y + 2x-2y2 + -7x-1 = 0 + 7x-1 + -7x-1 e3 + -1x-2y + 2x-2y2 + -7x-1 = 7x-1 + -7x-1 Combine like terms: 7x-1 + -7x-1 = 0 e3 + -1x-2y + 2x-2y2 + -7x-1 = 0 The solution to this equation could not be determined.
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