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Simplifying 3x2 + 5x = 22x Reorder the terms: 5x + 3x2 = 22x Solving 5x + 3x2 = 22x Solving for variable 'x'. Reorder the terms: 5x + -22x + 3x2 = 22x + -22x Combine like terms: 5x + -22x = -17x -17x + 3x2 = 22x + -22x Combine like terms: 22x + -22x = 0 -17x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-17 + 3x) = 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 '(-17 + 3x)' equal to zero and attempt to solve: Simplifying -17 + 3x = 0 Solving -17 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 3x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 3x = 0 + 17 3x = 0 + 17 Combine like terms: 0 + 17 = 17 3x = 17 Divide each side by '3'. x = 5.666666667 Simplifying x = 5.666666667Solution
x = {0, 5.666666667}
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