5x(4x+1x)-24x=

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Solution for 5x(4x+1x)-24x= equation: 


Simplifying
5x(4x + 1x) + -24x = 0

Combine like terms: 4x + 1x = 5x
5x(5x) + -24x = 0

Remove parenthesis around (5x)
5x * 5x + -24x = 0

Reorder the terms for easier multiplication:
5 * 5x * x + -24x = 0

Multiply 5 * 5
25x * x + -24x = 0

Multiply x * x
25x2 + -24x = 0

Reorder the terms:
-24x + 25x2 = 0

Solving
-24x + 25x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-24 + 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 '(-24 + 25x)' equal to zero and attempt to solve:

Simplifying
-24 + 25x = 0

Solving
-24 + 25x = 0

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

Add '24' to each side of the equation.
-24 + 24 + 25x = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 25x = 0 + 24
25x = 0 + 24

Combine like terms: 0 + 24 = 24
25x = 24

Divide each side by '25'.
x = 0.96

Simplifying
x = 0.96
Solution
x = {0, 0.96}

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