(4x)(5x+27)=

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Solution for (4x)(5x+27)= equation: 


Simplifying
(4x)(5x + 27) = 0

Remove parenthesis around (4x)
4x(5x + 27) = 0

Reorder the terms:
4x(27 + 5x) = 0
(27 * 4x + 5x * 4x) = 0
(108x + 20x2) = 0

Solving
108x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(27 + 5x) = 0

Ignore the factor 4.

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 '(27 + 5x)' equal to zero and attempt to solve:

Simplifying
27 + 5x = 0

Solving
27 + 5x = 0

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

Add '-27' to each side of the equation.
27 + -27 + 5x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 5x = 0 + -27
5x = 0 + -27

Combine like terms: 0 + -27 = -27
5x = -27

Divide each side by '5'.
x = -5.4

Simplifying
x = -5.4
Solution
x = {0, -5.4}

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