(4c-3)(6c+7)=

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Solution for (4c-3)(6c+7)= equation: 


Simplifying
(4c + -3)(6c + 7) = 0

Reorder the terms:
(-3 + 4c)(6c + 7) = 0

Reorder the terms:
(-3 + 4c)(7 + 6c) = 0

Multiply (-3 + 4c) * (7 + 6c)
(-3(7 + 6c) + 4c * (7 + 6c)) = 0
((7 * -3 + 6c * -3) + 4c * (7 + 6c)) = 0
((-21 + -18c) + 4c * (7 + 6c)) = 0
(-21 + -18c + (7 * 4c + 6c * 4c)) = 0
(-21 + -18c + (28c + 24c2)) = 0

Combine like terms: -18c + 28c = 10c
(-21 + 10c + 24c2) = 0

Solving
-21 + 10c + 24c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-7 + -6c)(3 + -4c) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(3 + -4c)' equal to zero and attempt to solve:

Simplifying
3 + -4c = 0

Solving
3 + -4c = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4c = 0 + -3
-4c = 0 + -3

Combine like terms: 0 + -3 = -3
-4c = -3

Divide each side by '-4'.
c = 0.75

Simplifying
c = 0.75
Solution
c = {-1.166666667, 0.75}

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