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Simplifying 3x(-19x) = (-2x) + 7 Remove parenthesis around (-19x) 3x * -19x = (-2x) + 7 Reorder the terms for easier multiplication: 3 * -19x * x = (-2x) + 7 Multiply 3 * -19 -57x * x = (-2x) + 7 Multiply x * x -57x2 = (-2x) + 7 Reorder the terms: -57x2 = 7 + (-2x) Solving -57x2 = 7 + (-2x) Solving for variable 'x'. Reorder the terms: -7 + (2x) + -57x2 = 7 + (-2x) + -7 + (2x) Reorder the terms: -7 + (2x) + -57x2 = 7 + -7 + (-2x) + (2x) Combine like terms: 7 + -7 = 0 -7 + (2x) + -57x2 = 0 + (-2x) + (2x) -7 + (2x) + -57x2 = (-2x) + (2x) Combine like terms: (-2x) + (2x) = 0 -7 + (2x) + -57x2 = 0 Begin completing the square. Divide all terms by -57 the coefficient of the squared term: Divide each side by '-57'. 0.1228070175 + (-0.0350877193x) + x2 = 0 Move the constant term to the right: Add '-0.1228070175' to each side of the equation. 0.1228070175 + (-0.0350877193x) + -0.1228070175 + x2 = 0 + -0.1228070175 Reorder the terms: 0.1228070175 + -0.1228070175 + (-0.0350877193x) + x2 = 0 + -0.1228070175 Combine like terms: 0.1228070175 + -0.1228070175 = 0.0000000000 0.0000000000 + (-0.0350877193x) + x2 = 0 + -0.1228070175 (-0.0350877193x) + x2 = 0 + -0.1228070175 Combine like terms: 0 + -0.1228070175 = -0.1228070175 (-0.0350877193x) + x2 = -0.1228070175 The x term is (-0.0350877193x). Take half its coefficient (-0.01754385965). Square it (0.0003077870114) and add it to both sides. Add '0.0003077870114' to each side of the equation. (-0.0350877193x) + 0.0003077870114 + x2 = -0.1228070175 + 0.0003077870114 Reorder the terms: 0.0003077870114 + (-0.0350877193x) + x2 = -0.1228070175 + 0.0003077870114 Combine like terms: -0.1228070175 + 0.0003077870114 = -0.1224992304886 0.0003077870114 + (-0.0350877193x) + x2 = -0.1224992304886 Factor a perfect square on the left side: (x + -0.01754385965)(x + -0.01754385965) = -0.1224992304886 Can't calculate square root of the right side. The solution to this equation could not be determined.
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