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Simplifying 25x11 + -1x9 = 0 Reorder the terms: -1x9 + 25x11 = 0 Solving -1x9 + 25x11 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x9'. x9(-1 + 25x2) = 0 Factor a difference between two squares. x9((1 + 5x)(-1 + 5x)) = 0Subproblem 1
Set the factor 'x9' equal to zero and attempt to solve: Simplifying x9 = 0 Solving x9 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x9 = 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 + 5x)' equal to zero and attempt to solve: Simplifying 1 + 5x = 0 Solving 1 + 5x = 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 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2Subproblem 3
Set the factor '(-1 + 5x)' equal to zero and attempt to solve: Simplifying -1 + 5x = 0 Solving -1 + 5x = 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 + 5x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 0 + 1 5x = 0 + 1 Combine like terms: 0 + 1 = 1 5x = 1 Divide each side by '5'. x = 0.2 Simplifying x = 0.2Solution
x = {-0.2, 0.2}
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