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Simplifying 10x + 20x2 = 100x + -20x + -3x Combine like terms: 100x + -20x = 80x 10x + 20x2 = 80x + -3x Combine like terms: 80x + -3x = 77x 10x + 20x2 = 77x Solving 10x + 20x2 = 77x Solving for variable 'x'. Reorder the terms: 10x + -77x + 20x2 = 77x + -77x Combine like terms: 10x + -77x = -67x -67x + 20x2 = 77x + -77x Combine like terms: 77x + -77x = 0 -67x + 20x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-67 + 20x) = 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 '(-67 + 20x)' equal to zero and attempt to solve: Simplifying -67 + 20x = 0 Solving -67 + 20x = 0 Move all terms containing x to the left, all other terms to the right. Add '67' to each side of the equation. -67 + 67 + 20x = 0 + 67 Combine like terms: -67 + 67 = 0 0 + 20x = 0 + 67 20x = 0 + 67 Combine like terms: 0 + 67 = 67 20x = 67 Divide each side by '20'. x = 3.35 Simplifying x = 3.35Solution
x = {0, 3.35}
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