5x(2)-8x+3(x+2)x=0

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Solution for 5x(2)-8x+3(x+2)x=0 equation: 


Simplifying
5x(2) + -8x + 3(x + 2) * x = 0

Reorder the terms for easier multiplication:
5 * 2x + -8x + 3(x + 2) * x = 0

Multiply 5 * 2
10x + -8x + 3(x + 2) * x = 0

Reorder the terms:
10x + -8x + 3(2 + x) * x = 0

Reorder the terms for easier multiplication:
10x + -8x + 3x(2 + x) = 0
10x + -8x + (2 * 3x + x * 3x) = 0
10x + -8x + (6x + 3x2) = 0

Combine like terms: 10x + -8x = 2x
2x + 6x + 3x2 = 0

Combine like terms: 2x + 6x = 8x
8x + 3x2 = 0

Solving
8x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(8 + 3x) = 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 '(8 + 3x)' equal to zero and attempt to solve:

Simplifying
8 + 3x = 0

Solving
8 + 3x = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = 0 + -8
3x = 0 + -8

Combine like terms: 0 + -8 = -8
3x = -8

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667
Solution
x = {0, -2.666666667}

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