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Simplifying 20x2 + 85x = 24x2 Reorder the terms: 85x + 20x2 = 24x2 Solving 85x + 20x2 = 24x2 Solving for variable 'x'. Combine like terms: 20x2 + -24x2 = -4x2 85x + -4x2 = 24x2 + -24x2 Combine like terms: 24x2 + -24x2 = 0 85x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(85 + -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 '(85 + -4x)' equal to zero and attempt to solve: Simplifying 85 + -4x = 0 Solving 85 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-85' to each side of the equation. 85 + -85 + -4x = 0 + -85 Combine like terms: 85 + -85 = 0 0 + -4x = 0 + -85 -4x = 0 + -85 Combine like terms: 0 + -85 = -85 -4x = -85 Divide each side by '-4'. x = 21.25 Simplifying x = 21.25Solution
x = {0, 21.25}
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