(6c-7)(4c-1)=0

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Solution for (6c-7)(4c-1)=0 equation: 


Simplifying
(6c + -7)(4c + -1) = 0

Reorder the terms:
(-7 + 6c)(4c + -1) = 0

Reorder the terms:
(-7 + 6c)(-1 + 4c) = 0

Multiply (-7 + 6c) * (-1 + 4c)
(-7(-1 + 4c) + 6c * (-1 + 4c)) = 0
((-1 * -7 + 4c * -7) + 6c * (-1 + 4c)) = 0
((7 + -28c) + 6c * (-1 + 4c)) = 0
(7 + -28c + (-1 * 6c + 4c * 6c)) = 0
(7 + -28c + (-6c + 24c2)) = 0

Combine like terms: -28c + -6c = -34c
(7 + -34c + 24c2) = 0

Solving
7 + -34c + 24c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(1 + -4c)(7 + -6c) = 0


Subproblem 1
Set the factor '(1 + -4c)' equal to zero and attempt to solve:

Simplifying
1 + -4c = 0

Solving
1 + -4c = 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 + -4c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4c = 0 + -1
-4c = 0 + -1

Combine like terms: 0 + -1 = -1
-4c = -1

Divide each side by '-4'.
c = 0.25

Simplifying
c = 0.25

Subproblem 2
Set the factor '(7 + -6c)' equal to zero and attempt to solve:

Simplifying
7 + -6c = 0

Solving
7 + -6c = 0

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

Add '-7' to each side of the equation.
7 + -7 + -6c = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6c = 0 + -7
-6c = 0 + -7

Combine like terms: 0 + -7 = -7
-6c = -7

Divide each side by '-6'.
c = 1.166666667

Simplifying
c = 1.166666667
Solution
c = {0.25, 1.166666667}

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