33x^2=-22x

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Solution for 33x^2=-22x equation:


Simplifying
33x2 = -22x

Solving
33x2 = -22x

Solving for variable 'x'.

Reorder the terms:
22x + 33x2 = -22x + 22x

Combine like terms: -22x + 22x = 0
22x + 33x2 = 0

Factor out the Greatest Common Factor (GCF), '11x'.
11x(2 + 3x) = 0

Ignore the factor 11.

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 '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667

Solution

x = {0, -0.6666666667}

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