(2c-9)(c-1)=0

Solution for (2c-9)(c-1)=0 equation:

Simplifying
(2c + -9)(c + -1) = 0

Reorder the terms:
(-9 + 2c)(c + -1) = 0

Reorder the terms:
(-9 + 2c)(-1 + c) = 0

Multiply (-9 + 2c) * (-1 + c)
(-9(-1 + c) + 2c * (-1 + c)) = 0
((-1 * -9 + c * -9) + 2c * (-1 + c)) = 0
((9 + -9c) + 2c * (-1 + c)) = 0
(9 + -9c + (-1 * 2c + c * 2c)) = 0
(9 + -9c + (-2c + 2c2)) = 0

Combine like terms: -9c + -2c = -11c
(9 + -11c + 2c2) = 0

Solving
9 + -11c + 2c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(1 + -1c)(9 + -2c) = 0

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

Simplifying
1 + -1c = 0

Solving
1 + -1c = 0

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

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

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

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

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

Simplifying
c = 1
Subproblem 2
Set the factor '(9 + -2c)' equal to zero and attempt to solve:

Simplifying
9 + -2c = 0

Solving
9 + -2c = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2c = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2c = 0 + -9
-2c = 0 + -9

Combine like terms: 0 + -9 = -9
-2c = -9

Divide each side by '-2'.
c = 4.5

Simplifying
c = 4.5
Solution
c = {1, 4.5}