(x^2-5*x)*(x-10)=x^3-15x^2+50x

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Solution for (x^2-5*x)*(x-10)=x^3-15x^2+50x equation: 


Simplifying
(x2 + -5x)(x + -10) = x3 + -15x2 + 50x

Reorder the terms:
(-5x + x2)(x + -10) = x3 + -15x2 + 50x

Reorder the terms:
(-5x + x2)(-10 + x) = x3 + -15x2 + 50x

Multiply (-5x + x2) * (-10 + x)
(-5x * (-10 + x) + x2(-10 + x)) = x3 + -15x2 + 50x
((-10 * -5x + x * -5x) + x2(-10 + x)) = x3 + -15x2 + 50x
((50x + -5x2) + x2(-10 + x)) = x3 + -15x2 + 50x
(50x + -5x2 + (-10 * x2 + x * x2)) = x3 + -15x2 + 50x
(50x + -5x2 + (-10x2 + x3)) = x3 + -15x2 + 50x

Combine like terms: -5x2 + -10x2 = -15x2
(50x + -15x2 + x3) = x3 + -15x2 + 50x

Reorder the terms:
50x + -15x2 + x3 = 50x + -15x2 + x3

Add '-50x' to each side of the equation.
50x + -15x2 + -50x + x3 = 50x + -15x2 + -50x + x3

Reorder the terms:
50x + -50x + -15x2 + x3 = 50x + -15x2 + -50x + x3

Combine like terms: 50x + -50x = 0
0 + -15x2 + x3 = 50x + -15x2 + -50x + x3
-15x2 + x3 = 50x + -15x2 + -50x + x3

Reorder the terms:
-15x2 + x3 = 50x + -50x + -15x2 + x3

Combine like terms: 50x + -50x = 0
-15x2 + x3 = 0 + -15x2 + x3
-15x2 + x3 = -15x2 + x3

Add '15x2' to each side of the equation.
-15x2 + 15x2 + x3 = -15x2 + 15x2 + x3

Combine like terms: -15x2 + 15x2 = 0
0 + x3 = -15x2 + 15x2 + x3
x3 = -15x2 + 15x2 + x3

Combine like terms: -15x2 + 15x2 = 0
x3 = 0 + x3
x3 = x3

Add '-1x3' to each side of the equation.
x3 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
0 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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