14x^3=9x^2

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Solution for 14x^3=9x^2 equation:


Simplifying
14x3 = 9x2

Solving
14x3 = 9x2

Solving for variable 'x'.

Reorder the terms:
-9x2 + 14x3 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-9x2 + 14x3 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-9 + 14x) = 0

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 '(-9 + 14x)' equal to zero and attempt to solve: Simplifying -9 + 14x = 0 Solving -9 + 14x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 14x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 14x = 0 + 9 14x = 0 + 9 Combine like terms: 0 + 9 = 9 14x = 9 Divide each side by '14'. x = 0.6428571429 Simplifying x = 0.6428571429

Solution

x = {0, 0.6428571429}

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