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Simplifying 21x2 + -17x + 2 = 2 Reorder the terms: 2 + -17x + 21x2 = 2 Add '-2' to each side of the equation. 2 + -17x + -2 + 21x2 = 2 + -2 Reorder the terms: 2 + -2 + -17x + 21x2 = 2 + -2 Combine like terms: 2 + -2 = 0 0 + -17x + 21x2 = 2 + -2 -17x + 21x2 = 2 + -2 Combine like terms: 2 + -2 = 0 -17x + 21x2 = 0 Solving -17x + 21x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-17 + 21x) = 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 + 21x)' equal to zero and attempt to solve: Simplifying -17 + 21x = 0 Solving -17 + 21x = 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 + 21x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 21x = 0 + 17 21x = 0 + 17 Combine like terms: 0 + 17 = 17 21x = 17 Divide each side by '21'. x = 0.8095238095 Simplifying x = 0.8095238095Solution
x = {0, 0.8095238095}
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