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

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


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

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

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

Reorder the terms:
-2x + -15x + 2x2 + 3x2 = 0

Combine like terms: -2x + -15x = -17x
-17x + 2x2 + 3x2 = 0

Combine like terms: 2x2 + 3x2 = 5x2
-17x + 5x2 = 0

Solving
-17x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-17 + 5x) = 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 + 5x)' equal to zero and attempt to solve:

Simplifying
-17 + 5x = 0

Solving
-17 + 5x = 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 + 5x = 0 + 17

Combine like terms: -17 + 17 = 0
0 + 5x = 0 + 17
5x = 0 + 17

Combine like terms: 0 + 17 = 17
5x = 17

Divide each side by '5'.
x = 3.4

Simplifying
x = 3.4
Solution
x = {0, 3.4}

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