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

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


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

Reorder the terms:
3x(-5 + 2x) + -1(2x + -5) = 0
(-5 * 3x + 2x * 3x) + -1(2x + -5) = 0
(-15x + 6x2) + -1(2x + -5) = 0

Reorder the terms:
-15x + 6x2 + -1(-5 + 2x) = 0
-15x + 6x2 + (-5 * -1 + 2x * -1) = 0
-15x + 6x2 + (5 + -2x) = 0

Reorder the terms:
5 + -15x + -2x + 6x2 = 0

Combine like terms: -15x + -2x = -17x
5 + -17x + 6x2 = 0

Solving
5 + -17x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -3x)(5 + -2x) = 0


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

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

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

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

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {0.3333333333, 2.5}

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