(5x+4)(-2x)=0

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Solution for (5x+4)(-2x)=0 equation: 


Simplifying
(5x + 4)(-2x) = 0

Reorder the terms:
(4 + 5x)(-2x) = 0

Remove parenthesis around (-2x)
(4 + 5x) * -2x = 0

Reorder the terms for easier multiplication:
-2x(4 + 5x) = 0
(4 * -2x + 5x * -2x) = 0
(-8x + -10x2) = 0

Solving
-8x + -10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-2x'.
-2x(4 + 5x) = 0

Ignore the factor -2.

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 '(4 + 5x)' equal to zero and attempt to solve:

Simplifying
4 + 5x = 0

Solving
4 + 5x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 0 + -4
5x = 0 + -4

Combine like terms: 0 + -4 = -4
5x = -4

Divide each side by '5'.
x = -0.8

Simplifying
x = -0.8
Solution
x = {0, -0.8}

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