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Simplifying 2x2 + -1 + 6x = 4x + 5x2 + 3 Reorder the terms: -1 + 6x + 2x2 = 4x + 5x2 + 3 Reorder the terms: -1 + 6x + 2x2 = 3 + 4x + 5x2 Solving -1 + 6x + 2x2 = 3 + 4x + 5x2 Solving for variable 'x'. Reorder the terms: -1 + -3 + 6x + -4x + 2x2 + -5x2 = 3 + 4x + 5x2 + -3 + -4x + -5x2 Combine like terms: -1 + -3 = -4 -4 + 6x + -4x + 2x2 + -5x2 = 3 + 4x + 5x2 + -3 + -4x + -5x2 Combine like terms: 6x + -4x = 2x -4 + 2x + 2x2 + -5x2 = 3 + 4x + 5x2 + -3 + -4x + -5x2 Combine like terms: 2x2 + -5x2 = -3x2 -4 + 2x + -3x2 = 3 + 4x + 5x2 + -3 + -4x + -5x2 Reorder the terms: -4 + 2x + -3x2 = 3 + -3 + 4x + -4x + 5x2 + -5x2 Combine like terms: 3 + -3 = 0 -4 + 2x + -3x2 = 0 + 4x + -4x + 5x2 + -5x2 -4 + 2x + -3x2 = 4x + -4x + 5x2 + -5x2 Combine like terms: 4x + -4x = 0 -4 + 2x + -3x2 = 0 + 5x2 + -5x2 -4 + 2x + -3x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -4 + 2x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 1.333333333 + -0.6666666667x + x2 = 0 Move the constant term to the right: Add '-1.333333333' to each side of the equation. 1.333333333 + -0.6666666667x + -1.333333333 + x2 = 0 + -1.333333333 Reorder the terms: 1.333333333 + -1.333333333 + -0.6666666667x + x2 = 0 + -1.333333333 Combine like terms: 1.333333333 + -1.333333333 = 0.000000000 0.000000000 + -0.6666666667x + x2 = 0 + -1.333333333 -0.6666666667x + x2 = 0 + -1.333333333 Combine like terms: 0 + -1.333333333 = -1.333333333 -0.6666666667x + x2 = -1.333333333 The x term is -0.6666666667x. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667x + 0.1111111112 + x2 = -1.333333333 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667x + x2 = -1.333333333 + 0.1111111112 Combine like terms: -1.333333333 + 0.1111111112 = -1.2222222218 0.1111111112 + -0.6666666667x + x2 = -1.2222222218 Factor a perfect square on the left side: (x + -0.3333333334)(x + -0.3333333334) = -1.2222222218 Can't calculate square root of the right side. The solution to this equation could not be determined.
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