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Simplifying 49x3 + 14x6 + 84x9 = 0 Solving 49x3 + 14x6 + 84x9 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x3'. 7x3(7 + 2x3 + 12x6) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(7 + 2x3 + 12x6)' equal to zero and attempt to solve: Simplifying 7 + 2x3 + 12x6 = 0 Solving 7 + 2x3 + 12x6 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.5833333333 + 0.1666666667x3 + x6 = 0 Move the constant term to the right: Add '-0.5833333333' to each side of the equation. 0.5833333333 + 0.1666666667x3 + -0.5833333333 + x6 = 0 + -0.5833333333 Reorder the terms: 0.5833333333 + -0.5833333333 + 0.1666666667x3 + x6 = 0 + -0.5833333333 Combine like terms: 0.5833333333 + -0.5833333333 = 0.0000000000 0.0000000000 + 0.1666666667x3 + x6 = 0 + -0.5833333333 0.1666666667x3 + x6 = 0 + -0.5833333333 Combine like terms: 0 + -0.5833333333 = -0.5833333333 0.1666666667x3 + x6 = -0.5833333333 The x term is 0.1666666667x3. Take half its coefficient (0.08333333335). Square it (0.006944444447) and add it to both sides. Add '0.006944444447' to each side of the equation. 0.1666666667x3 + 0.006944444447 + x6 = -0.5833333333 + 0.006944444447 Reorder the terms: 0.006944444447 + 0.1666666667x3 + x6 = -0.5833333333 + 0.006944444447 Combine like terms: -0.5833333333 + 0.006944444447 = -0.576388888853 0.006944444447 + 0.1666666667x3 + x6 = -0.576388888853 Factor a perfect square on the left side: (x3 + 0.08333333335)(x3 + 0.08333333335) = -0.576388888853 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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