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Simplifying 20x2 = 45x Solving 20x2 = 45x Solving for variable 'x'. Reorder the terms: -45x + 20x2 = 45x + -45x Combine like terms: 45x + -45x = 0 -45x + 20x2 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(-9 + 4x) = 0 Ignore the factor 5.Subproblem 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 + 4x)' equal to zero and attempt to solve: Simplifying -9 + 4x = 0 Solving -9 + 4x = 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 + 4x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = 0 + 9 4x = 0 + 9 Combine like terms: 0 + 9 = 9 4x = 9 Divide each side by '4'. x = 2.25 Simplifying x = 2.25Solution
x = {0, 2.25}
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