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Simplifying 8x2 + -21x = 0 Reorder the terms: -21x + 8x2 = 0 Solving -21x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-21 + 8x) = 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 + 8x)' equal to zero and attempt to solve: Simplifying -21 + 8x = 0 Solving -21 + 8x = 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 + 8x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 8x = 0 + 21 8x = 0 + 21 Combine like terms: 0 + 21 = 21 8x = 21 Divide each side by '8'. x = 2.625 Simplifying x = 2.625Solution
x = {0, 2.625}
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