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Simplifying (-5x2 + x + -7) + (2X2 + 3x + 6) = 0 Reorder the terms: (-7 + x + -5x2) + (2X2 + 3x + 6) = 0 Remove parenthesis around (-7 + x + -5x2) -7 + x + -5x2 + (2X2 + 3x + 6) = 0 Reorder the terms: -7 + x + -5x2 + (6 + 2X2 + 3x) = 0 Remove parenthesis around (6 + 2X2 + 3x) -7 + x + -5x2 + 6 + 2X2 + 3x = 0 Reorder the terms: -7 + 6 + 2X2 + x + 3x + -5x2 = 0 Combine like terms: -7 + 6 = -1 -1 + 2X2 + x + 3x + -5x2 = 0 Combine like terms: x + 3x = 4x -1 + 2X2 + 4x + -5x2 = 0 Solving -1 + 2X2 + 4x + -5x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2X2 + 4x + 1 + -5x2 = 0 + 1 Reorder the terms: -1 + 1 + 2X2 + 4x + -5x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2X2 + 4x + -5x2 = 0 + 1 2X2 + 4x + -5x2 = 0 + 1 Combine like terms: 0 + 1 = 1 2X2 + 4x + -5x2 = 1 Add '-4x' to each side of the equation. 2X2 + 4x + -4x + -5x2 = 1 + -4x Combine like terms: 4x + -4x = 0 2X2 + 0 + -5x2 = 1 + -4x 2X2 + -5x2 = 1 + -4x Add '5x2' to each side of the equation. 2X2 + -5x2 + 5x2 = 1 + -4x + 5x2 Combine like terms: -5x2 + 5x2 = 0 2X2 + 0 = 1 + -4x + 5x2 2X2 = 1 + -4x + 5x2 Divide each side by '2'. X2 = 0.5 + -2x + 2.5x2 Simplifying X2 = 0.5 + -2x + 2.5x2 Reorder the terms: -0.5 + X2 + 2x + -2.5x2 = 0.5 + -2x + 2.5x2 + -0.5 + 2x + -2.5x2 Reorder the terms: -0.5 + X2 + 2x + -2.5x2 = 0.5 + -0.5 + -2x + 2x + 2.5x2 + -2.5x2 Combine like terms: 0.5 + -0.5 = 0.0 -0.5 + X2 + 2x + -2.5x2 = 0.0 + -2x + 2x + 2.5x2 + -2.5x2 -0.5 + X2 + 2x + -2.5x2 = -2x + 2x + 2.5x2 + -2.5x2 Combine like terms: -2x + 2x = 0 -0.5 + X2 + 2x + -2.5x2 = 0 + 2.5x2 + -2.5x2 -0.5 + X2 + 2x + -2.5x2 = 2.5x2 + -2.5x2 Combine like terms: 2.5x2 + -2.5x2 = 0.0 -0.5 + X2 + 2x + -2.5x2 = 0.0 The solution to this equation could not be determined.
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