(10c+7)(3c-7)=0

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Solution for (10c+7)(3c-7)=0 equation: 


Simplifying
(10c + 7)(3c + -7) = 0

Reorder the terms:
(7 + 10c)(3c + -7) = 0

Reorder the terms:
(7 + 10c)(-7 + 3c) = 0

Multiply (7 + 10c) * (-7 + 3c)
(7(-7 + 3c) + 10c * (-7 + 3c)) = 0
((-7 * 7 + 3c * 7) + 10c * (-7 + 3c)) = 0
((-49 + 21c) + 10c * (-7 + 3c)) = 0
(-49 + 21c + (-7 * 10c + 3c * 10c)) = 0
(-49 + 21c + (-70c + 30c2)) = 0

Combine like terms: 21c + -70c = -49c
(-49 + -49c + 30c2) = 0

Solving
-49 + -49c + 30c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-7 + -10c)(7 + -3c) = 0


Subproblem 1
Set the factor '(-7 + -10c)' equal to zero and attempt to solve:

Simplifying
-7 + -10c = 0

Solving
-7 + -10c = 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 + -10c = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -10c = 0 + 7
-10c = 0 + 7

Combine like terms: 0 + 7 = 7
-10c = 7

Divide each side by '-10'.
c = -0.7

Simplifying
c = -0.7

Subproblem 2
Set the factor '(7 + -3c)' equal to zero and attempt to solve:

Simplifying
7 + -3c = 0

Solving
7 + -3c = 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 + -3c = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3c = 0 + -7
-3c = 0 + -7

Combine like terms: 0 + -7 = -7
-3c = -7

Divide each side by '-3'.
c = 2.333333333

Simplifying
c = 2.333333333
Solution
c = {-0.7, 2.333333333}

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