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Simplifying (X2 + -5x + -8) + -1(4x2 + 6x + -20) = 0 Reorder the terms: (-8 + X2 + -5x) + -1(4x2 + 6x + -20) = 0 Remove parenthesis around (-8 + X2 + -5x) -8 + X2 + -5x + -1(4x2 + 6x + -20) = 0 Reorder the terms: -8 + X2 + -5x + -1(-20 + 6x + 4x2) = 0 -8 + X2 + -5x + (-20 * -1 + 6x * -1 + 4x2 * -1) = 0 -8 + X2 + -5x + (20 + -6x + -4x2) = 0 Reorder the terms: -8 + 20 + X2 + -5x + -6x + -4x2 = 0 Combine like terms: -8 + 20 = 12 12 + X2 + -5x + -6x + -4x2 = 0 Combine like terms: -5x + -6x = -11x 12 + X2 + -11x + -4x2 = 0 Solving 12 + X2 + -11x + -4x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + X2 + -11x + -12 + -4x2 = 0 + -12 Reorder the terms: 12 + -12 + X2 + -11x + -4x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + X2 + -11x + -4x2 = 0 + -12 X2 + -11x + -4x2 = 0 + -12 Combine like terms: 0 + -12 = -12 X2 + -11x + -4x2 = -12 Add '11x' to each side of the equation. X2 + -11x + 11x + -4x2 = -12 + 11x Combine like terms: -11x + 11x = 0 X2 + 0 + -4x2 = -12 + 11x X2 + -4x2 = -12 + 11x Add '4x2' to each side of the equation. X2 + -4x2 + 4x2 = -12 + 11x + 4x2 Combine like terms: -4x2 + 4x2 = 0 X2 + 0 = -12 + 11x + 4x2 X2 = -12 + 11x + 4x2 Simplifying X2 = -12 + 11x + 4x2 Reorder the terms: 12 + X2 + -11x + -4x2 = -12 + 11x + 4x2 + 12 + -11x + -4x2 Reorder the terms: 12 + X2 + -11x + -4x2 = -12 + 12 + 11x + -11x + 4x2 + -4x2 Combine like terms: -12 + 12 = 0 12 + X2 + -11x + -4x2 = 0 + 11x + -11x + 4x2 + -4x2 12 + X2 + -11x + -4x2 = 11x + -11x + 4x2 + -4x2 Combine like terms: 11x + -11x = 0 12 + X2 + -11x + -4x2 = 0 + 4x2 + -4x2 12 + X2 + -11x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 12 + X2 + -11x + -4x2 = 0 The solution to this equation could not be determined.
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