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