5x^3=7x^2

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Solution for 5x^3=7x^2 equation: 


Simplifying
5x3 = 7x2

Solving
5x3 = 7x2

Solving for variable 'x'.

Reorder the terms:
-7x2 + 5x3 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-7x2 + 5x3 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-7 + 5x) = 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 '(-7 + 5x)' equal to zero and attempt to solve:

Simplifying
-7 + 5x = 0

Solving
-7 + 5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + 5x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 5x = 0 + 7
5x = 0 + 7

Combine like terms: 0 + 7 = 7
5x = 7

Divide each side by '5'.
x = 1.4

Simplifying
x = 1.4
Solution
x = {0, 1.4}

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