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Simplifying 5(8 + -2) + -1x(3x + -7) = -6(4x + -6x) + x + 4.31662479 + 60 Combine like terms: 8 + -2 = 6 5(6) + -1x(3x + -7) = -6(4x + -6x) + x + 4.31662479 + 60 Multiply 5 * 6 30 + -1x(3x + -7) = -6(4x + -6x) + x + 4.31662479 + 60 Reorder the terms: 30 + -1x(-7 + 3x) = -6(4x + -6x) + x + 4.31662479 + 60 30 + (-7 * -1x + 3x * -1x) = -6(4x + -6x) + x + 4.31662479 + 60 30 + (7x + -3x2) = -6(4x + -6x) + x + 4.31662479 + 60 Combine like terms: 4x + -6x = -2x 30 + 7x + -3x2 = -6(-2x) + x + 4.31662479 + 60 Remove parenthesis around (-2x) 30 + 7x + -3x2 = -6 * -2x + x + 4.31662479 + 60 Multiply -6 * -2 30 + 7x + -3x2 = 12x + x + 4.31662479 + 60 Reorder the terms: 30 + 7x + -3x2 = 4.31662479 + 60 + 12x + x Combine like terms: 4.31662479 + 60 = 64.31662479 30 + 7x + -3x2 = 64.31662479 + 12x + x Combine like terms: 12x + x = 13x 30 + 7x + -3x2 = 64.31662479 + 13x Solving 30 + 7x + -3x2 = 64.31662479 + 13x Solving for variable 'x'. Reorder the terms: 30 + -64.31662479 + 7x + -13x + -3x2 = 64.31662479 + 13x + -64.31662479 + -13x Combine like terms: 30 + -64.31662479 = -34.31662479 -34.31662479 + 7x + -13x + -3x2 = 64.31662479 + 13x + -64.31662479 + -13x Combine like terms: 7x + -13x = -6x -34.31662479 + -6x + -3x2 = 64.31662479 + 13x + -64.31662479 + -13x Reorder the terms: -34.31662479 + -6x + -3x2 = 64.31662479 + -64.31662479 + 13x + -13x Combine like terms: 64.31662479 + -64.31662479 = 0.00000000 -34.31662479 + -6x + -3x2 = 0.00000000 + 13x + -13x -34.31662479 + -6x + -3x2 = 13x + -13x Combine like terms: 13x + -13x = 0 -34.31662479 + -6x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 11.43887493 + 2x + x2 = 0 Move the constant term to the right: Add '-11.43887493' to each side of the equation. 11.43887493 + 2x + -11.43887493 + x2 = 0 + -11.43887493 Reorder the terms: 11.43887493 + -11.43887493 + 2x + x2 = 0 + -11.43887493 Combine like terms: 11.43887493 + -11.43887493 = 0.00000000 0.00000000 + 2x + x2 = 0 + -11.43887493 2x + x2 = 0 + -11.43887493 Combine like terms: 0 + -11.43887493 = -11.43887493 2x + x2 = -11.43887493 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -11.43887493 + 1 Reorder the terms: 1 + 2x + x2 = -11.43887493 + 1 Combine like terms: -11.43887493 + 1 = -10.43887493 1 + 2x + x2 = -10.43887493 Factor a perfect square on the left side: (x + 1)(x + 1) = -10.43887493 Can't calculate square root of the right side. The solution to this equation could not be determined.
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