(15-2x)(20-2x)x=4x^3-70x^2+300x

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Solution for (15-2x)(20-2x)x=4x^3-70x^2+300x equation: 


Simplifying
(15 + -2x)(20 + -2x) * x = 4x3 + -70x2 + 300x

Reorder the terms for easier multiplication:
x(15 + -2x)(20 + -2x) = 4x3 + -70x2 + 300x

Multiply (15 + -2x) * (20 + -2x)
x(15(20 + -2x) + -2x * (20 + -2x)) = 4x3 + -70x2 + 300x
x((20 * 15 + -2x * 15) + -2x * (20 + -2x)) = 4x3 + -70x2 + 300x
x((300 + -30x) + -2x * (20 + -2x)) = 4x3 + -70x2 + 300x
x(300 + -30x + (20 * -2x + -2x * -2x)) = 4x3 + -70x2 + 300x
x(300 + -30x + (-40x + 4x2)) = 4x3 + -70x2 + 300x

Combine like terms: -30x + -40x = -70x
x(300 + -70x + 4x2) = 4x3 + -70x2 + 300x
(300 * x + -70x * x + 4x2 * x) = 4x3 + -70x2 + 300x
(300x + -70x2 + 4x3) = 4x3 + -70x2 + 300x

Reorder the terms:
300x + -70x2 + 4x3 = 300x + -70x2 + 4x3

Add '-300x' to each side of the equation.
300x + -70x2 + -300x + 4x3 = 300x + -70x2 + -300x + 4x3

Reorder the terms:
300x + -300x + -70x2 + 4x3 = 300x + -70x2 + -300x + 4x3

Combine like terms: 300x + -300x = 0
0 + -70x2 + 4x3 = 300x + -70x2 + -300x + 4x3
-70x2 + 4x3 = 300x + -70x2 + -300x + 4x3

Reorder the terms:
-70x2 + 4x3 = 300x + -300x + -70x2 + 4x3

Combine like terms: 300x + -300x = 0
-70x2 + 4x3 = 0 + -70x2 + 4x3
-70x2 + 4x3 = -70x2 + 4x3

Add '70x2' to each side of the equation.
-70x2 + 70x2 + 4x3 = -70x2 + 70x2 + 4x3

Combine like terms: -70x2 + 70x2 = 0
0 + 4x3 = -70x2 + 70x2 + 4x3
4x3 = -70x2 + 70x2 + 4x3

Combine like terms: -70x2 + 70x2 = 0
4x3 = 0 + 4x3
4x3 = 4x3

Add '-4x3' to each side of the equation.
4x3 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
0 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 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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