4x(x)+25x=0

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Solution for 4x(x)+25x=0 equation: 


Simplifying
4x(x) + 25x = 0

Multiply x * x
4x2 + 25x = 0

Reorder the terms:
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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