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

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


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

Reorder the terms:
5(2 + x) + -3x(x + 2) = 0
(2 * 5 + x * 5) + -3x(x + 2) = 0
(10 + 5x) + -3x(x + 2) = 0

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

Combine like terms: 5x + -6x = -1x
10 + -1x + -3x2 = 0

Solving
10 + -1x + -3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -3x)(2 + x) = 0


Subproblem 1
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {1.666666667, -2}

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