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Simplifying 49x5 + -121x3 = 0 Reorder the terms: -121x3 + 49x5 = 0 Solving -121x3 + 49x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x3'. x3(-121 + 49x2) = 0 Factor a difference between two squares. x3((11 + 7x)(-11 + 7x)) = 0Subproblem 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 '(11 + 7x)' equal to zero and attempt to solve: Simplifying 11 + 7x = 0 Solving 11 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 7x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 7x = 0 + -11 7x = 0 + -11 Combine like terms: 0 + -11 = -11 7x = -11 Divide each side by '7'. x = -1.571428571 Simplifying x = -1.571428571Subproblem 3
Set the factor '(-11 + 7x)' equal to zero and attempt to solve: Simplifying -11 + 7x = 0 Solving -11 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 7x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 7x = 0 + 11 7x = 0 + 11 Combine like terms: 0 + 11 = 11 7x = 11 Divide each side by '7'. x = 1.571428571 Simplifying x = 1.571428571Solution
x = {-1.571428571, 1.571428571}
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