(6+5x)(x-2)=

Solution for (6+5x)(x-2)= equation:

Simplifying
(6 + 5x)(x + -2) = 0

Reorder the terms:
(6 + 5x)(-2 + x) = 0

Multiply (6 + 5x) * (-2 + x)
(6(-2 + x) + 5x * (-2 + x)) = 0
((-2 * 6 + x * 6) + 5x * (-2 + x)) = 0
((-12 + 6x) + 5x * (-2 + x)) = 0
(-12 + 6x + (-2 * 5x + x * 5x)) = 0
(-12 + 6x + (-10x + 5x2)) = 0

Combine like terms: 6x + -10x = -4x
(-12 + -4x + 5x2) = 0

Solving
-12 + -4x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-6 + -5x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-6 + -5x)' equal to zero and attempt to solve:

Simplifying
-6 + -5x = 0

Solving
-6 + -5x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -5x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -5x = 0 + 6
-5x = 0 + 6

Combine like terms: 0 + 6 = 6
-5x = 6

Divide each side by '-5'.
x = -1.2

Simplifying
x = -1.2
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-1.2, 2}