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Simplifying 24 + -1(8x + 3) = -6x(3x + -4) + -13 Reorder the terms: 24 + -1(3 + 8x) = -6x(3x + -4) + -13 24 + (3 * -1 + 8x * -1) = -6x(3x + -4) + -13 24 + (-3 + -8x) = -6x(3x + -4) + -13 Combine like terms: 24 + -3 = 21 21 + -8x = -6x(3x + -4) + -13 Reorder the terms: 21 + -8x = -6x(-4 + 3x) + -13 21 + -8x = (-4 * -6x + 3x * -6x) + -13 21 + -8x = (24x + -18x2) + -13 Reorder the terms: 21 + -8x = -13 + 24x + -18x2 Solving 21 + -8x = -13 + 24x + -18x2 Solving for variable 'x'. Reorder the terms: 21 + 13 + -8x + -24x + 18x2 = -13 + 24x + -18x2 + 13 + -24x + 18x2 Combine like terms: 21 + 13 = 34 34 + -8x + -24x + 18x2 = -13 + 24x + -18x2 + 13 + -24x + 18x2 Combine like terms: -8x + -24x = -32x 34 + -32x + 18x2 = -13 + 24x + -18x2 + 13 + -24x + 18x2 Reorder the terms: 34 + -32x + 18x2 = -13 + 13 + 24x + -24x + -18x2 + 18x2 Combine like terms: -13 + 13 = 0 34 + -32x + 18x2 = 0 + 24x + -24x + -18x2 + 18x2 34 + -32x + 18x2 = 24x + -24x + -18x2 + 18x2 Combine like terms: 24x + -24x = 0 34 + -32x + 18x2 = 0 + -18x2 + 18x2 34 + -32x + 18x2 = -18x2 + 18x2 Combine like terms: -18x2 + 18x2 = 0 34 + -32x + 18x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(17 + -16x + 9x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(17 + -16x + 9x2)' equal to zero and attempt to solve: Simplifying 17 + -16x + 9x2 = 0 Solving 17 + -16x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.888888889 + -1.777777778x + x2 = 0 Move the constant term to the right: Add '-1.888888889' to each side of the equation. 1.888888889 + -1.777777778x + -1.888888889 + x2 = 0 + -1.888888889 Reorder the terms: 1.888888889 + -1.888888889 + -1.777777778x + x2 = 0 + -1.888888889 Combine like terms: 1.888888889 + -1.888888889 = 0.000000000 0.000000000 + -1.777777778x + x2 = 0 + -1.888888889 -1.777777778x + x2 = 0 + -1.888888889 Combine like terms: 0 + -1.888888889 = -1.888888889 -1.777777778x + x2 = -1.888888889 The x term is -1.777777778x. Take half its coefficient (-0.888888889). Square it (0.7901234570) and add it to both sides. Add '0.7901234570' to each side of the equation. -1.777777778x + 0.7901234570 + x2 = -1.888888889 + 0.7901234570 Reorder the terms: 0.7901234570 + -1.777777778x + x2 = -1.888888889 + 0.7901234570 Combine like terms: -1.888888889 + 0.7901234570 = -1.098765432 0.7901234570 + -1.777777778x + x2 = -1.098765432 Factor a perfect square on the left side: (x + -0.888888889)(x + -0.888888889) = -1.098765432 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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