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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