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Simplifying 9x2 + -20x = 20x + -21x2 Reorder the terms: -20x + 9x2 = 20x + -21x2 Solving -20x + 9x2 = 20x + -21x2 Solving for variable 'x'. Reorder the terms: -20x + -20x + 9x2 + 21x2 = 20x + -21x2 + -20x + 21x2 Combine like terms: -20x + -20x = -40x -40x + 9x2 + 21x2 = 20x + -21x2 + -20x + 21x2 Combine like terms: 9x2 + 21x2 = 30x2 -40x + 30x2 = 20x + -21x2 + -20x + 21x2 Reorder the terms: -40x + 30x2 = 20x + -20x + -21x2 + 21x2 Combine like terms: 20x + -20x = 0 -40x + 30x2 = 0 + -21x2 + 21x2 -40x + 30x2 = -21x2 + 21x2 Combine like terms: -21x2 + 21x2 = 0 -40x + 30x2 = 0 Factor out the Greatest Common Factor (GCF), '10x'. 10x(-4 + 3x) = 0 Ignore the factor 10.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 '(-4 + 3x)' equal to zero and attempt to solve: Simplifying -4 + 3x = 0 Solving -4 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 0 + 4 3x = 0 + 4 Combine like terms: 0 + 4 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333Solution
x = {0, 1.333333333}
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