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Simplifying 3x2 + -2x2 + -21x = 0 Reorder the terms: -21x + 3x2 + -2x2 = 0 Combine like terms: 3x2 + -2x2 = 1x2 -21x + 1x2 = 0 Solving -21x + 1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-21 + x) = 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 '(-21 + x)' equal to zero and attempt to solve: Simplifying -21 + x = 0 Solving -21 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + x = 0 + 21 x = 0 + 21 Combine like terms: 0 + 21 = 21 x = 21 Simplifying x = 21Solution
x = {0, 21}
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