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Simplifying 2x2 + -6x = -7x2 + -5x + -48 Reorder the terms: -6x + 2x2 = -7x2 + -5x + -48 Reorder the terms: -6x + 2x2 = -48 + -5x + -7x2 Solving -6x + 2x2 = -48 + -5x + -7x2 Solving for variable 'x'. Reorder the terms: 48 + -6x + 5x + 2x2 + 7x2 = -48 + -5x + -7x2 + 48 + 5x + 7x2 Combine like terms: -6x + 5x = -1x 48 + -1x + 2x2 + 7x2 = -48 + -5x + -7x2 + 48 + 5x + 7x2 Combine like terms: 2x2 + 7x2 = 9x2 48 + -1x + 9x2 = -48 + -5x + -7x2 + 48 + 5x + 7x2 Reorder the terms: 48 + -1x + 9x2 = -48 + 48 + -5x + 5x + -7x2 + 7x2 Combine like terms: -48 + 48 = 0 48 + -1x + 9x2 = 0 + -5x + 5x + -7x2 + 7x2 48 + -1x + 9x2 = -5x + 5x + -7x2 + 7x2 Combine like terms: -5x + 5x = 0 48 + -1x + 9x2 = 0 + -7x2 + 7x2 48 + -1x + 9x2 = -7x2 + 7x2 Combine like terms: -7x2 + 7x2 = 0 48 + -1x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 5.333333333 + -0.1111111111x + x2 = 0 Move the constant term to the right: Add '-5.333333333' to each side of the equation. 5.333333333 + -0.1111111111x + -5.333333333 + x2 = 0 + -5.333333333 Reorder the terms: 5.333333333 + -5.333333333 + -0.1111111111x + x2 = 0 + -5.333333333 Combine like terms: 5.333333333 + -5.333333333 = 0.000000000 0.000000000 + -0.1111111111x + x2 = 0 + -5.333333333 -0.1111111111x + x2 = 0 + -5.333333333 Combine like terms: 0 + -5.333333333 = -5.333333333 -0.1111111111x + x2 = -5.333333333 The x term is -0.1111111111x. Take half its coefficient (-0.05555555555). Square it (0.003086419752) and add it to both sides. Add '0.003086419752' to each side of the equation. -0.1111111111x + 0.003086419752 + x2 = -5.333333333 + 0.003086419752 Reorder the terms: 0.003086419752 + -0.1111111111x + x2 = -5.333333333 + 0.003086419752 Combine like terms: -5.333333333 + 0.003086419752 = -5.330246913248 0.003086419752 + -0.1111111111x + x2 = -5.330246913248 Factor a perfect square on the left side: (x + -0.05555555555)(x + -0.05555555555) = -5.330246913248 Can't calculate square root of the right side. The solution to this equation could not be determined.
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