2x^2=21x

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Solution for 2x^2=21x equation:


Simplifying
2x2 = 21x

Solving
2x2 = 21x

Solving for variable 'x'.

Reorder the terms:
-21x + 2x2 = 21x + -21x

Combine like terms: 21x + -21x = 0
-21x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-21 + 2x) = 0

Subproblem 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 = 0

Subproblem 2

Set the factor '(-21 + 2x)' equal to zero and attempt to solve: Simplifying -21 + 2x = 0 Solving -21 + 2x = 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 + 2x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = 0 + 21 2x = 0 + 21 Combine like terms: 0 + 21 = 21 2x = 21 Divide each side by '2'. x = 10.5 Simplifying x = 10.5

Solution

x = {0, 10.5}

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