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

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


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

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

Reorder the terms for easier multiplication:
x + 5x(4 + 5x) = 0
x + (4 * 5x + 5x * 5x) = 0
x + (20x + 25x2) = 0

Combine like terms: x + 20x = 21x
21x + 25x2 = 0

Solving
21x + 25x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(21 + 25x) = 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 '(21 + 25x)' equal to zero and attempt to solve:

Simplifying
21 + 25x = 0

Solving
21 + 25x = 0

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

Add '-21' to each side of the equation.
21 + -21 + 25x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 25x = 0 + -21
25x = 0 + -21

Combine like terms: 0 + -21 = -21
25x = -21

Divide each side by '25'.
x = -0.84

Simplifying
x = -0.84
Solution
x = {0, -0.84}

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