(5x)(3x+32)=

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Solution for (5x)(3x+32)= equation: 


Simplifying
(5x)(3x + 32) = 0

Remove parenthesis around (5x)
5x(3x + 32) = 0

Reorder the terms:
5x(32 + 3x) = 0
(32 * 5x + 3x * 5x) = 0
(160x + 15x2) = 0

Solving
160x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(32 + 3x) = 0

Ignore the factor 5.

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 '(32 + 3x)' equal to zero and attempt to solve:

Simplifying
32 + 3x = 0

Solving
32 + 3x = 0

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

Add '-32' to each side of the equation.
32 + -32 + 3x = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 3x = 0 + -32
3x = 0 + -32

Combine like terms: 0 + -32 = -32
3x = -32

Divide each side by '3'.
x = -10.66666667

Simplifying
x = -10.66666667
Solution
x = {0, -10.66666667}

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