(5c-2)(6c-4)=

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Solution for (5c-2)(6c-4)= equation: 


Simplifying
(5c + -2)(6c + -4) = 0

Reorder the terms:
(-2 + 5c)(6c + -4) = 0

Reorder the terms:
(-2 + 5c)(-4 + 6c) = 0

Multiply (-2 + 5c) * (-4 + 6c)
(-2(-4 + 6c) + 5c * (-4 + 6c)) = 0
((-4 * -2 + 6c * -2) + 5c * (-4 + 6c)) = 0
((8 + -12c) + 5c * (-4 + 6c)) = 0
(8 + -12c + (-4 * 5c + 6c * 5c)) = 0
(8 + -12c + (-20c + 30c2)) = 0

Combine like terms: -12c + -20c = -32c
(8 + -32c + 30c2) = 0

Solving
8 + -32c + 30c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -16c + 15c2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + -5c)' equal to zero and attempt to solve:

Simplifying
2 + -5c = 0

Solving
2 + -5c = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5c = 0 + -2

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

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

Divide each side by '-5'.
c = 0.4

Simplifying
c = 0.4

Subproblem 2
Set the factor '(2 + -3c)' equal to zero and attempt to solve:

Simplifying
2 + -3c = 0

Solving
2 + -3c = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3c = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3c = 0 + -2
-3c = 0 + -2

Combine like terms: 0 + -2 = -2
-3c = -2

Divide each side by '-3'.
c = 0.6666666667

Simplifying
c = 0.6666666667
Solution
c = {0.4, 0.6666666667}

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