7c(5c-2)-10(5c-2)=

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Solution for 7c(5c-2)-10(5c-2)= equation: 


Simplifying
7c(5c + -2) + -10(5c + -2) = 0

Reorder the terms:
7c(-2 + 5c) + -10(5c + -2) = 0
(-2 * 7c + 5c * 7c) + -10(5c + -2) = 0
(-14c + 35c2) + -10(5c + -2) = 0

Reorder the terms:
-14c + 35c2 + -10(-2 + 5c) = 0
-14c + 35c2 + (-2 * -10 + 5c * -10) = 0
-14c + 35c2 + (20 + -50c) = 0

Reorder the terms:
20 + -14c + -50c + 35c2 = 0

Combine like terms: -14c + -50c = -64c
20 + -64c + 35c2 = 0

Solving
20 + -64c + 35c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(2 + -5c)(10 + -7c) = 0


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 '(10 + -7c)' equal to zero and attempt to solve:

Simplifying
10 + -7c = 0

Solving
10 + -7c = 0

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

Add '-10' to each side of the equation.
10 + -10 + -7c = 0 + -10

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

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

Divide each side by '-7'.
c = 1.428571429

Simplifying
c = 1.428571429
Solution
c = {0.4, 1.428571429}

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