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Simplifying 7x(-3x) + -5 + -8 = 4 + 10 + -7x + 5 Remove parenthesis around (-3x) 7x * -3x + -5 + -8 = 4 + 10 + -7x + 5 Reorder the terms for easier multiplication: 7 * -3x * x + -5 + -8 = 4 + 10 + -7x + 5 Multiply 7 * -3 -21x * x + -5 + -8 = 4 + 10 + -7x + 5 Multiply x * x -21x2 + -5 + -8 = 4 + 10 + -7x + 5 Reorder the terms: -5 + -8 + -21x2 = 4 + 10 + -7x + 5 Combine like terms: -5 + -8 = -13 -13 + -21x2 = 4 + 10 + -7x + 5 Reorder the terms: -13 + -21x2 = 4 + 10 + 5 + -7x Combine like terms: 4 + 10 = 14 -13 + -21x2 = 14 + 5 + -7x Combine like terms: 14 + 5 = 19 -13 + -21x2 = 19 + -7x Solving -13 + -21x2 = 19 + -7x Solving for variable 'x'. Reorder the terms: -13 + -19 + 7x + -21x2 = 19 + -7x + -19 + 7x Combine like terms: -13 + -19 = -32 -32 + 7x + -21x2 = 19 + -7x + -19 + 7x Reorder the terms: -32 + 7x + -21x2 = 19 + -19 + -7x + 7x Combine like terms: 19 + -19 = 0 -32 + 7x + -21x2 = 0 + -7x + 7x -32 + 7x + -21x2 = -7x + 7x Combine like terms: -7x + 7x = 0 -32 + 7x + -21x2 = 0 Begin completing the square. Divide all terms by -21 the coefficient of the squared term: Divide each side by '-21'. 1.523809524 + -0.3333333333x + x2 = 0 Move the constant term to the right: Add '-1.523809524' to each side of the equation. 1.523809524 + -0.3333333333x + -1.523809524 + x2 = 0 + -1.523809524 Reorder the terms: 1.523809524 + -1.523809524 + -0.3333333333x + x2 = 0 + -1.523809524 Combine like terms: 1.523809524 + -1.523809524 = 0.000000000 0.000000000 + -0.3333333333x + x2 = 0 + -1.523809524 -0.3333333333x + x2 = 0 + -1.523809524 Combine like terms: 0 + -1.523809524 = -1.523809524 -0.3333333333x + x2 = -1.523809524 The x term is -0.3333333333x. Take half its coefficient (-0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. -0.3333333333x + 0.02777777779 + x2 = -1.523809524 + 0.02777777779 Reorder the terms: 0.02777777779 + -0.3333333333x + x2 = -1.523809524 + 0.02777777779 Combine like terms: -1.523809524 + 0.02777777779 = -1.49603174621 0.02777777779 + -0.3333333333x + x2 = -1.49603174621 Factor a perfect square on the left side: (x + -0.1666666667)(x + -0.1666666667) = -1.49603174621 Can't calculate square root of the right side. The solution to this equation could not be determined.
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