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Simplifying 81x7 + -1x3 = 0 Reorder the terms: -1x3 + 81x7 = 0 Solving -1x3 + 81x7 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x3'. x3(-1 + 81x4) = 0 Factor a difference between two squares. x3((1 + 9x2)(-1 + 9x2)) = 0 Factor a difference between two squares. x3((1 + 9x2)((1 + 3x)(-1 + 3x))) = 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 '(1 + 9x2)' equal to zero and attempt to solve: Simplifying 1 + 9x2 = 0 Solving 1 + 9x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 9x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9x2 = 0 + -1 9x2 = 0 + -1 Combine like terms: 0 + -1 = -1 9x2 = -1 Divide each side by '9'. x2 = -0.1111111111 Simplifying x2 = -0.1111111111 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333Subproblem 4
Set the factor '(-1 + 3x)' equal to zero and attempt to solve: Simplifying -1 + 3x = 0 Solving -1 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 0 + 1 3x = 0 + 1 Combine like terms: 0 + 1 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333Solution
x = {-0.3333333333, 0.3333333333}
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