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Simplifying 3x(3x + 1) = 5(x + -7) Reorder the terms: 3x(1 + 3x) = 5(x + -7) (1 * 3x + 3x * 3x) = 5(x + -7) (3x + 9x2) = 5(x + -7) Reorder the terms: 3x + 9x2 = 5(-7 + x) 3x + 9x2 = (-7 * 5 + x * 5) 3x + 9x2 = (-35 + 5x) Solving 3x + 9x2 = -35 + 5x Solving for variable 'x'. Reorder the terms: 35 + 3x + -5x + 9x2 = -35 + 5x + 35 + -5x Combine like terms: 3x + -5x = -2x 35 + -2x + 9x2 = -35 + 5x + 35 + -5x Reorder the terms: 35 + -2x + 9x2 = -35 + 35 + 5x + -5x Combine like terms: -35 + 35 = 0 35 + -2x + 9x2 = 0 + 5x + -5x 35 + -2x + 9x2 = 5x + -5x Combine like terms: 5x + -5x = 0 35 + -2x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 3.888888889 + -0.2222222222x + x2 = 0 Move the constant term to the right: Add '-3.888888889' to each side of the equation. 3.888888889 + -0.2222222222x + -3.888888889 + x2 = 0 + -3.888888889 Reorder the terms: 3.888888889 + -3.888888889 + -0.2222222222x + x2 = 0 + -3.888888889 Combine like terms: 3.888888889 + -3.888888889 = 0.000000000 0.000000000 + -0.2222222222x + x2 = 0 + -3.888888889 -0.2222222222x + x2 = 0 + -3.888888889 Combine like terms: 0 + -3.888888889 = -3.888888889 -0.2222222222x + x2 = -3.888888889 The x term is -0.2222222222x. Take half its coefficient (-0.1111111111). Square it (0.01234567901) and add it to both sides. Add '0.01234567901' to each side of the equation. -0.2222222222x + 0.01234567901 + x2 = -3.888888889 + 0.01234567901 Reorder the terms: 0.01234567901 + -0.2222222222x + x2 = -3.888888889 + 0.01234567901 Combine like terms: -3.888888889 + 0.01234567901 = -3.87654320999 0.01234567901 + -0.2222222222x + x2 = -3.87654320999 Factor a perfect square on the left side: (x + -0.1111111111)(x + -0.1111111111) = -3.87654320999 Can't calculate square root of the right side. The solution to this equation could not be determined.
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