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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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