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Simplifying 81x2 = 100x Solving 81x2 = 100x Solving for variable 'x'. Reorder the terms: -100x + 81x2 = 100x + -100x Combine like terms: 100x + -100x = 0 -100x + 81x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-100 + 81x) = 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 '(-100 + 81x)' equal to zero and attempt to solve: Simplifying -100 + 81x = 0 Solving -100 + 81x = 0 Move all terms containing x to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + 81x = 0 + 100 Combine like terms: -100 + 100 = 0 0 + 81x = 0 + 100 81x = 0 + 100 Combine like terms: 0 + 100 = 100 81x = 100 Divide each side by '81'. x = 1.234567901 Simplifying x = 1.234567901Solution
x = {0, 1.234567901}
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