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Simplifying 18x9 + 50x5 + 49x7 = 0 Reorder the terms: 50x5 + 49x7 + 18x9 = 0 Solving 50x5 + 49x7 + 18x9 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x5'. x5(50 + 49x2 + 18x4) = 0Subproblem 1
Set the factor 'x5' equal to zero and attempt to solve: Simplifying x5 = 0 Solving x5 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x5 = 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 '(50 + 49x2 + 18x4)' equal to zero and attempt to solve: Simplifying 50 + 49x2 + 18x4 = 0 Solving 50 + 49x2 + 18x4 = 0 Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 2.777777778 + 2.722222222x2 + x4 = 0 Move the constant term to the right: Add '-2.777777778' to each side of the equation. 2.777777778 + 2.722222222x2 + -2.777777778 + x4 = 0 + -2.777777778 Reorder the terms: 2.777777778 + -2.777777778 + 2.722222222x2 + x4 = 0 + -2.777777778 Combine like terms: 2.777777778 + -2.777777778 = 0.000000000 0.000000000 + 2.722222222x2 + x4 = 0 + -2.777777778 2.722222222x2 + x4 = 0 + -2.777777778 Combine like terms: 0 + -2.777777778 = -2.777777778 2.722222222x2 + x4 = -2.777777778 The x term is 2.722222222x2. Take half its coefficient (1.361111111). Square it (1.852623456) and add it to both sides. Add '1.852623456' to each side of the equation. 2.722222222x2 + 1.852623456 + x4 = -2.777777778 + 1.852623456 Reorder the terms: 1.852623456 + 2.722222222x2 + x4 = -2.777777778 + 1.852623456 Combine like terms: -2.777777778 + 1.852623456 = -0.925154322 1.852623456 + 2.722222222x2 + x4 = -0.925154322 Factor a perfect square on the left side: (x2 + 1.361111111)(x2 + 1.361111111) = -0.925154322 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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