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Simplifying (4x + -28x + 49) + -6(12x + -42)(x + -3) = 0 Reorder the terms: (49 + 4x + -28x) + -6(12x + -42)(x + -3) = 0 Combine like terms: 4x + -28x = -24x (49 + -24x) + -6(12x + -42)(x + -3) = 0 Remove parenthesis around (49 + -24x) 49 + -24x + -6(12x + -42)(x + -3) = 0 Reorder the terms: 49 + -24x + -6(-42 + 12x)(x + -3) = 0 Reorder the terms: 49 + -24x + -6(-42 + 12x)(-3 + x) = 0 Multiply (-42 + 12x) * (-3 + x) 49 + -24x + -6(-42(-3 + x) + 12x * (-3 + x)) = 0 49 + -24x + -6((-3 * -42 + x * -42) + 12x * (-3 + x)) = 0 49 + -24x + -6((126 + -42x) + 12x * (-3 + x)) = 0 49 + -24x + -6(126 + -42x + (-3 * 12x + x * 12x)) = 0 49 + -24x + -6(126 + -42x + (-36x + 12x2)) = 0 Combine like terms: -42x + -36x = -78x 49 + -24x + -6(126 + -78x + 12x2) = 0 49 + -24x + (126 * -6 + -78x * -6 + 12x2 * -6) = 0 49 + -24x + (-756 + 468x + -72x2) = 0 Reorder the terms: 49 + -756 + -24x + 468x + -72x2 = 0 Combine like terms: 49 + -756 = -707 -707 + -24x + 468x + -72x2 = 0 Combine like terms: -24x + 468x = 444x -707 + 444x + -72x2 = 0 Solving -707 + 444x + -72x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -72 the coefficient of the squared term: Divide each side by '-72'. 9.819444444 + -6.166666667x + x2 = 0 Move the constant term to the right: Add '-9.819444444' to each side of the equation. 9.819444444 + -6.166666667x + -9.819444444 + x2 = 0 + -9.819444444 Reorder the terms: 9.819444444 + -9.819444444 + -6.166666667x + x2 = 0 + -9.819444444 Combine like terms: 9.819444444 + -9.819444444 = 0.000000000 0.000000000 + -6.166666667x + x2 = 0 + -9.819444444 -6.166666667x + x2 = 0 + -9.819444444 Combine like terms: 0 + -9.819444444 = -9.819444444 -6.166666667x + x2 = -9.819444444 The x term is -6.166666667x. Take half its coefficient (-3.083333334). Square it (9.506944449) and add it to both sides. Add '9.506944449' to each side of the equation. -6.166666667x + 9.506944449 + x2 = -9.819444444 + 9.506944449 Reorder the terms: 9.506944449 + -6.166666667x + x2 = -9.819444444 + 9.506944449 Combine like terms: -9.819444444 + 9.506944449 = -0.312499995 9.506944449 + -6.166666667x + x2 = -0.312499995 Factor a perfect square on the left side: (x + -3.083333334)(x + -3.083333334) = -0.312499995 Can't calculate square root of the right side. The solution to this equation could not be determined.
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