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Simplifying (4x2 + -2x + 1) + (2x + 8) = 0 Reorder the terms: (1 + -2x + 4x2) + (2x + 8) = 0 Remove parenthesis around (1 + -2x + 4x2) 1 + -2x + 4x2 + (2x + 8) = 0 Reorder the terms: 1 + -2x + 4x2 + (8 + 2x) = 0 Remove parenthesis around (8 + 2x) 1 + -2x + 4x2 + 8 + 2x = 0 Reorder the terms: 1 + 8 + -2x + 2x + 4x2 = 0 Combine like terms: 1 + 8 = 9 9 + -2x + 2x + 4x2 = 0 Combine like terms: -2x + 2x = 0 9 + 0 + 4x2 = 0 9 + 4x2 = 0 Solving 9 + 4x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4x2 = 0 + -9 4x2 = 0 + -9 Combine like terms: 0 + -9 = -9 4x2 = -9 Divide each side by '4'. x2 = -2.25 Simplifying x2 = -2.25 Reorder the terms: 2.25 + x2 = -2.25 + 2.25 Combine like terms: -2.25 + 2.25 = 0.00 2.25 + x2 = 0.00 The solution to this equation could not be determined.
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