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Simplifying 4x2 = 81x Solving 4x2 = 81x Solving for variable 'x'. Reorder the terms: -81x + 4x2 = 81x + -81x Combine like terms: 81x + -81x = 0 -81x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-81 + 4x) = 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 '(-81 + 4x)' equal to zero and attempt to solve: Simplifying -81 + 4x = 0 Solving -81 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + 4x = 0 + 81 Combine like terms: -81 + 81 = 0 0 + 4x = 0 + 81 4x = 0 + 81 Combine like terms: 0 + 81 = 81 4x = 81 Divide each side by '4'. x = 20.25 Simplifying x = 20.25Solution
x = {0, 20.25}
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