5x-2x(x-1)=

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


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

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

Combine like terms: 5x + 2x = 7x
7x + -2x2 = 0

Solving
7x + -2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(7 + -2x) = 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 '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {0, 3.5}

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