4x^3-200x^2+2500x=4x^3-280x+4900x

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Solution for 4x^3-200x^2+2500x=4x^3-280x+4900x equation: 


Simplifying
4x3 + -200x2 + 2500x = 4x3 + -280x + 4900x

Reorder the terms:
2500x + -200x2 + 4x3 = 4x3 + -280x + 4900x

Reorder the terms:
2500x + -200x2 + 4x3 = -280x + 4900x + 4x3

Combine like terms: -280x + 4900x = 4620x
2500x + -200x2 + 4x3 = 4620x + 4x3

Add '-4x3' to each side of the equation.
2500x + -200x2 + 4x3 + -4x3 = 4620x + 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
2500x + -200x2 + 0 = 4620x + 4x3 + -4x3
2500x + -200x2 = 4620x + 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
2500x + -200x2 = 4620x + 0
2500x + -200x2 = 4620x

Solving
2500x + -200x2 = 4620x

Solving for variable 'x'.

Reorder the terms:
2500x + -4620x + -200x2 = 4620x + -4620x

Combine like terms: 2500x + -4620x = -2120x
-2120x + -200x2 = 4620x + -4620x

Combine like terms: 4620x + -4620x = 0
-2120x + -200x2 = 0

Factor out the Greatest Common Factor (GCF), '-40x'.
-40x(53 + 5x) = 0

Ignore the factor -40.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(53 + 5x)' equal to zero and attempt to solve:

Simplifying
53 + 5x = 0

Solving
53 + 5x = 0

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

Add '-53' to each side of the equation.
53 + -53 + 5x = 0 + -53

Combine like terms: 53 + -53 = 0
0 + 5x = 0 + -53
5x = 0 + -53

Combine like terms: 0 + -53 = -53
5x = -53

Divide each side by '5'.
x = -10.6

Simplifying
x = -10.6
Solution
x = {0, -10.6}

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