5x(2x+3)-3x(-4-2x)=

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Solution for 5x(2x+3)-3x(-4-2x)= equation: 


Simplifying
5x(2x + 3) + -3x(-4 + -2x) = 0

Reorder the terms:
5x(3 + 2x) + -3x(-4 + -2x) = 0
(3 * 5x + 2x * 5x) + -3x(-4 + -2x) = 0
(15x + 10x2) + -3x(-4 + -2x) = 0
15x + 10x2 + (-4 * -3x + -2x * -3x) = 0
15x + 10x2 + (12x + 6x2) = 0

Reorder the terms:
15x + 12x + 10x2 + 6x2 = 0

Combine like terms: 15x + 12x = 27x
27x + 10x2 + 6x2 = 0

Combine like terms: 10x2 + 6x2 = 16x2
27x + 16x2 = 0

Solving
27x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(27 + 16x) = 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 '(27 + 16x)' equal to zero and attempt to solve:

Simplifying
27 + 16x = 0

Solving
27 + 16x = 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 + 16x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 16x = 0 + -27
16x = 0 + -27

Combine like terms: 0 + -27 = -27
16x = -27

Divide each side by '16'.
x = -1.6875

Simplifying
x = -1.6875
Solution
x = {0, -1.6875}

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