5x+4(x+5)(x)=

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Solution for 5x+4(x+5)(x)= equation: 


Simplifying
5x + 4(x + 5)(x) = 0

Reorder the terms:
5x + 4(5 + x)(x) = 0

Reorder the terms for easier multiplication:
5x + 4x(5 + x) = 0
5x + (5 * 4x + x * 4x) = 0
5x + (20x + 4x2) = 0

Combine like terms: 5x + 20x = 25x
25x + 4x2 = 0

Solving
25x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(25 + 4x) = 0


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 '(25 + 4x)' equal to zero and attempt to solve:

Simplifying
25 + 4x = 0

Solving
25 + 4x = 0

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

Add '-25' to each side of the equation.
25 + -25 + 4x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 4x = 0 + -25
4x = 0 + -25

Combine like terms: 0 + -25 = -25
4x = -25

Divide each side by '4'.
x = -6.25

Simplifying
x = -6.25
Solution
x = {0, -6.25}

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