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Simplifying 18x9 + 33x8 + 17x7 = 0 Reorder the terms: 17x7 + 33x8 + 18x9 = 0 Solving 17x7 + 33x8 + 18x9 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x7'. x7(17 + 33x + 18x2) = 0Subproblem 1
Set the factor 'x7' equal to zero and attempt to solve: Simplifying x7 = 0 Solving x7 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x7 = 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 '(17 + 33x + 18x2)' equal to zero and attempt to solve: Simplifying 17 + 33x + 18x2 = 0 Solving 17 + 33x + 18x2 = 0 Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 0.9444444444 + 1.833333333x + x2 = 0 Move the constant term to the right: Add '-0.9444444444' to each side of the equation. 0.9444444444 + 1.833333333x + -0.9444444444 + x2 = 0 + -0.9444444444 Reorder the terms: 0.9444444444 + -0.9444444444 + 1.833333333x + x2 = 0 + -0.9444444444 Combine like terms: 0.9444444444 + -0.9444444444 = 0.0000000000 0.0000000000 + 1.833333333x + x2 = 0 + -0.9444444444 1.833333333x + x2 = 0 + -0.9444444444 Combine like terms: 0 + -0.9444444444 = -0.9444444444 1.833333333x + x2 = -0.9444444444 The x term is 1.833333333x. Take half its coefficient (0.9166666665). Square it (0.8402777775) and add it to both sides. Add '0.8402777775' to each side of the equation. 1.833333333x + 0.8402777775 + x2 = -0.9444444444 + 0.8402777775 Reorder the terms: 0.8402777775 + 1.833333333x + x2 = -0.9444444444 + 0.8402777775 Combine like terms: -0.9444444444 + 0.8402777775 = -0.1041666669 0.8402777775 + 1.833333333x + x2 = -0.1041666669 Factor a perfect square on the left side: (x + 0.9166666665)(x + 0.9166666665) = -0.1041666669 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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