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Simplifying 405x3 + -5x = 0 Reorder the terms: -5x + 405x3 = 0 Solving -5x + 405x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(-1 + 81x2) = 0 Factor a difference between two squares. 5x((1 + 9x)(-1 + 9x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(1 + 9x)' equal to zero and attempt to solve: Simplifying 1 + 9x = 0 Solving 1 + 9x = 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 + 9x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9x = 0 + -1 9x = 0 + -1 Combine like terms: 0 + -1 = -1 9x = -1 Divide each side by '9'. x = -0.1111111111 Simplifying x = -0.1111111111Subproblem 3
Set the factor '(-1 + 9x)' equal to zero and attempt to solve: Simplifying -1 + 9x = 0 Solving -1 + 9x = 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 + 9x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 9x = 0 + 1 9x = 0 + 1 Combine like terms: 0 + 1 = 1 9x = 1 Divide each side by '9'. x = 0.1111111111 Simplifying x = 0.1111111111Solution
x = {0, -0.1111111111, 0.1111111111}
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