7x(5x+24)=

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Solution for 7x(5x+24)= equation: 


Simplifying
7x(5x + 24) = 0

Reorder the terms:
7x(24 + 5x) = 0
(24 * 7x + 5x * 7x) = 0
(168x + 35x2) = 0

Solving
168x + 35x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x'.
7x(24 + 5x) = 0

Ignore the factor 7.

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 + 5x)' equal to zero and attempt to solve:

Simplifying
24 + 5x = 0

Solving
24 + 5x = 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 + 5x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 5x = 0 + -24
5x = 0 + -24

Combine like terms: 0 + -24 = -24
5x = -24

Divide each side by '5'.
x = -4.8

Simplifying
x = -4.8
Solution
x = {0, -4.8}

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