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Simplifying 2x2 + -6 = 5x2 + -7x Reorder the terms: -6 + 2x2 = 5x2 + -7x Reorder the terms: -6 + 2x2 = -7x + 5x2 Solving -6 + 2x2 = -7x + 5x2 Solving for variable 'x'. Reorder the terms: -6 + 7x + 2x2 + -5x2 = -7x + 5x2 + 7x + -5x2 Combine like terms: 2x2 + -5x2 = -3x2 -6 + 7x + -3x2 = -7x + 5x2 + 7x + -5x2 Reorder the terms: -6 + 7x + -3x2 = -7x + 7x + 5x2 + -5x2 Combine like terms: -7x + 7x = 0 -6 + 7x + -3x2 = 0 + 5x2 + -5x2 -6 + 7x + -3x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -6 + 7x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 2 + -2.333333333x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -2.333333333x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -2.333333333x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2.333333333x + x2 = 0 + -2 -2.333333333x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -2.333333333x + x2 = -2 The x term is -2.333333333x. Take half its coefficient (-1.166666667). Square it (1.361111112) and add it to both sides. Add '1.361111112' to each side of the equation. -2.333333333x + 1.361111112 + x2 = -2 + 1.361111112 Reorder the terms: 1.361111112 + -2.333333333x + x2 = -2 + 1.361111112 Combine like terms: -2 + 1.361111112 = -0.638888888 1.361111112 + -2.333333333x + x2 = -0.638888888 Factor a perfect square on the left side: (x + -1.166666667)(x + -1.166666667) = -0.638888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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