5x(2x+3)-2x(2x-1)=

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Solution for 5x(2x+3)-2x(2x-1)= equation: 


Simplifying
5x(2x + 3) + -2x(2x + -1) = 0

Reorder the terms:
5x(3 + 2x) + -2x(2x + -1) = 0
(3 * 5x + 2x * 5x) + -2x(2x + -1) = 0
(15x + 10x2) + -2x(2x + -1) = 0

Reorder the terms:
15x + 10x2 + -2x(-1 + 2x) = 0
15x + 10x2 + (-1 * -2x + 2x * -2x) = 0
15x + 10x2 + (2x + -4x2) = 0

Reorder the terms:
15x + 2x + 10x2 + -4x2 = 0

Combine like terms: 15x + 2x = 17x
17x + 10x2 + -4x2 = 0

Combine like terms: 10x2 + -4x2 = 6x2
17x + 6x2 = 0

Solving
17x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(17 + 6x) = 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 '(17 + 6x)' equal to zero and attempt to solve:

Simplifying
17 + 6x = 0

Solving
17 + 6x = 0

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

Add '-17' to each side of the equation.
17 + -17 + 6x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 6x = 0 + -17
6x = 0 + -17

Combine like terms: 0 + -17 = -17
6x = -17

Divide each side by '6'.
x = -2.833333333

Simplifying
x = -2.833333333
Solution
x = {0, -2.833333333}

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