(5x+6)(1-x)=0

Solution for (5x+6)(1-x)=0 equation:

Simplifying
(5x + 6)(1 + -1x) = 0

Reorder the terms:
(6 + 5x)(1 + -1x) = 0

Multiply (6 + 5x) * (1 + -1x)
(6(1 + -1x) + 5x * (1 + -1x)) = 0
((1 * 6 + -1x * 6) + 5x * (1 + -1x)) = 0
((6 + -6x) + 5x * (1 + -1x)) = 0
(6 + -6x + (1 * 5x + -1x * 5x)) = 0
(6 + -6x + (5x + -5x2)) = 0

Combine like terms: -6x + 5x = -1x
(6 + -1x + -5x2) = 0

Solving
6 + -1x + -5x2 = 0

Solving for variable 'x'.

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

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

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

Simplifying
x = 1
Subproblem 2
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
Solution
x = {1, -1.2}