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Simplifying 18x2 + 5x = -3 + 7x Reorder the terms: 5x + 18x2 = -3 + 7x Solving 5x + 18x2 = -3 + 7x Solving for variable 'x'. Reorder the terms: 3 + 5x + -7x + 18x2 = -3 + 7x + 3 + -7x Combine like terms: 5x + -7x = -2x 3 + -2x + 18x2 = -3 + 7x + 3 + -7x Reorder the terms: 3 + -2x + 18x2 = -3 + 3 + 7x + -7x Combine like terms: -3 + 3 = 0 3 + -2x + 18x2 = 0 + 7x + -7x 3 + -2x + 18x2 = 7x + -7x Combine like terms: 7x + -7x = 0 3 + -2x + 18x2 = 0 Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 0.1666666667 + -0.1111111111x + x2 = 0 Move the constant term to the right: Add '-0.1666666667' to each side of the equation. 0.1666666667 + -0.1111111111x + -0.1666666667 + x2 = 0 + -0.1666666667 Reorder the terms: 0.1666666667 + -0.1666666667 + -0.1111111111x + x2 = 0 + -0.1666666667 Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000 0.0000000000 + -0.1111111111x + x2 = 0 + -0.1666666667 -0.1111111111x + x2 = 0 + -0.1666666667 Combine like terms: 0 + -0.1666666667 = -0.1666666667 -0.1111111111x + x2 = -0.1666666667 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 = -0.1666666667 + 0.003086419752 Reorder the terms: 0.003086419752 + -0.1111111111x + x2 = -0.1666666667 + 0.003086419752 Combine like terms: -0.1666666667 + 0.003086419752 = -0.163580246948 0.003086419752 + -0.1111111111x + x2 = -0.163580246948 Factor a perfect square on the left side: (x + -0.05555555555)(x + -0.05555555555) = -0.163580246948 Can't calculate square root of the right side. The solution to this equation could not be determined.
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