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Simplifying 100x3 = 81x Solving 100x3 = 81x Solving for variable 'x'. Reorder the terms: -81x + 100x3 = 81x + -81x Combine like terms: 81x + -81x = 0 -81x + 100x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-81 + 100x2) = 0 Factor a difference between two squares. x((9 + 10x)(-9 + 10x)) = 0Subproblem 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 '(9 + 10x)' equal to zero and attempt to solve: Simplifying 9 + 10x = 0 Solving 9 + 10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 10x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 10x = 0 + -9 10x = 0 + -9 Combine like terms: 0 + -9 = -9 10x = -9 Divide each side by '10'. x = -0.9 Simplifying x = -0.9Subproblem 3
Set the factor '(-9 + 10x)' equal to zero and attempt to solve: Simplifying -9 + 10x = 0 Solving -9 + 10x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 10x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 10x = 0 + 9 10x = 0 + 9 Combine like terms: 0 + 9 = 9 10x = 9 Divide each side by '10'. x = 0.9 Simplifying x = 0.9Solution
x = {0, -0.9, 0.9}
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