x^2(x-4.25)=0

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Solution for x^2(x-4.25)=0 equation: 


Simplifying
x2(x + -4.25) = 0

Reorder the terms:
x2(-4.25 + x) = 0
(-4.25 * x2 + x * x2) = 0
(-4.25x2 + x3) = 0

Solving
-4.25x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-4.25 + x) = 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 '(-4.25 + x)' equal to zero and attempt to solve:

Simplifying
-4.25 + x = 0

Solving
-4.25 + x = 0

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

Add '4.25' to each side of the equation.
-4.25 + 4.25 + x = 0 + 4.25

Combine like terms: -4.25 + 4.25 = 0.00
0.00 + x = 0 + 4.25
x = 0 + 4.25

Combine like terms: 0 + 4.25 = 4.25
x = 4.25

Simplifying
x = 4.25
Solution
x = {0, 4.25}

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