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Simplifying x2 + (8E + -12) * x + -1(4E + -12) = 0 Reorder the terms: x2 + (-12 + 8E) * x + -1(4E + -12) = 0 Reorder the terms for easier multiplication: x2 + x(-12 + 8E) + -1(4E + -12) = 0 x2 + (-12 * x + 8E * x) + -1(4E + -12) = 0 x2 + (-12x + 8xE) + -1(4E + -12) = 0 Reorder the terms: x2 + -12x + 8xE + -1(-12 + 4E) = 0 x2 + -12x + 8xE + (-12 * -1 + 4E * -1) = 0 x2 + -12x + 8xE + (12 + -4E) = 0 Reorder the terms: 12 + -4E + -12x + 8xE + x2 = 0 Solving 12 + -4E + -12x + 8xE + x2 = 0 Solving for variable 'E'. Move all terms containing E to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -4E + -12x + 8xE + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + -4E + -12x + 8xE + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -4E + -12x + 8xE + x2 = 0 + -12 -4E + -12x + 8xE + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 -4E + -12x + 8xE + x2 = -12 Add '12x' to each side of the equation. -4E + -12x + 8xE + 12x + x2 = -12 + 12x Reorder the terms: -4E + -12x + 12x + 8xE + x2 = -12 + 12x Combine like terms: -12x + 12x = 0 -4E + 0 + 8xE + x2 = -12 + 12x -4E + 8xE + x2 = -12 + 12x Add '-1x2' to each side of the equation. -4E + 8xE + x2 + -1x2 = -12 + 12x + -1x2 Combine like terms: x2 + -1x2 = 0 -4E + 8xE + 0 = -12 + 12x + -1x2 -4E + 8xE = -12 + 12x + -1x2 Reorder the terms: 12 + -4E + -12x + 8xE + x2 = -12 + 12x + -1x2 + 12 + -12x + x2 Reorder the terms: 12 + -4E + -12x + 8xE + x2 = -12 + 12 + 12x + -12x + -1x2 + x2 Combine like terms: -12 + 12 = 0 12 + -4E + -12x + 8xE + x2 = 0 + 12x + -12x + -1x2 + x2 12 + -4E + -12x + 8xE + x2 = 12x + -12x + -1x2 + x2 Combine like terms: 12x + -12x = 0 12 + -4E + -12x + 8xE + x2 = 0 + -1x2 + x2 12 + -4E + -12x + 8xE + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 12 + -4E + -12x + 8xE + x2 = 0 The solution to this equation could not be determined.
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