6x^3=22x^2

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Solution for 6x^3=22x^2 equation:


Simplifying
6x3 = 22x2

Solving
6x3 = 22x2

Solving for variable 'x'.

Reorder the terms:
-22x2 + 6x3 = 22x2 + -22x2

Combine like terms: 22x2 + -22x2 = 0
-22x2 + 6x3 = 0

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-11 + 3x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(-11 + 3x)' equal to zero and attempt to solve: Simplifying -11 + 3x = 0 Solving -11 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 3x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 3x = 0 + 11 3x = 0 + 11 Combine like terms: 0 + 11 = 11 3x = 11 Divide each side by '3'. x = 3.666666667 Simplifying x = 3.666666667

Solution

x = {0, 3.666666667}

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