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Simplifying 0 = 3x2 + -6x + 10 Reorder the terms: 0 = 10 + -6x + 3x2 Solving 0 = 10 + -6x + 3x2 Solving for variable 'x'. Combine like terms: 0 + -10 = -10 -10 + 6x + -3x2 = 10 + -6x + 3x2 + -10 + 6x + -3x2 Reorder the terms: -10 + 6x + -3x2 = 10 + -10 + -6x + 6x + 3x2 + -3x2 Combine like terms: 10 + -10 = 0 -10 + 6x + -3x2 = 0 + -6x + 6x + 3x2 + -3x2 -10 + 6x + -3x2 = -6x + 6x + 3x2 + -3x2 Combine like terms: -6x + 6x = 0 -10 + 6x + -3x2 = 0 + 3x2 + -3x2 -10 + 6x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -10 + 6x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 3.333333333 + -2x + x2 = 0 Move the constant term to the right: Add '-3.333333333' to each side of the equation. 3.333333333 + -2x + -3.333333333 + x2 = 0 + -3.333333333 Reorder the terms: 3.333333333 + -3.333333333 + -2x + x2 = 0 + -3.333333333 Combine like terms: 3.333333333 + -3.333333333 = 0.000000000 0.000000000 + -2x + x2 = 0 + -3.333333333 -2x + x2 = 0 + -3.333333333 Combine like terms: 0 + -3.333333333 = -3.333333333 -2x + x2 = -3.333333333 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -3.333333333 + 1 Reorder the terms: 1 + -2x + x2 = -3.333333333 + 1 Combine like terms: -3.333333333 + 1 = -2.333333333 1 + -2x + x2 = -2.333333333 Factor a perfect square on the left side: (x + -1)(x + -1) = -2.333333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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