x(4x+97)=0

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Solution for x(4x+97)=0 equation: 


Simplifying
x(4x + 97) = 0

Reorder the terms:
x(97 + 4x) = 0
(97 * x + 4x * x) = 0
(97x + 4x2) = 0

Solving
97x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(97 + 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 '(97 + 4x)' equal to zero and attempt to solve:

Simplifying
97 + 4x = 0

Solving
97 + 4x = 0

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

Add '-97' to each side of the equation.
97 + -97 + 4x = 0 + -97

Combine like terms: 97 + -97 = 0
0 + 4x = 0 + -97
4x = 0 + -97

Combine like terms: 0 + -97 = -97
4x = -97

Divide each side by '4'.
x = -24.25

Simplifying
x = -24.25
Solution
x = {0, -24.25}

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