(4c^2)(2c-7)=0

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Solution for (4c^2)(2c-7)=0 equation: 


Simplifying
(4c2)(2c + -7) = 0

Remove parenthesis around (4c2)
4c2(2c + -7) = 0

Reorder the terms:
4c2(-7 + 2c) = 0
(-7 * 4c2 + 2c * 4c2) = 0
(-28c2 + 8c3) = 0

Solving
-28c2 + 8c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '4c2'.
4c2(-7 + 2c) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'c2' equal to zero and attempt to solve:

Simplifying
c2 = 0

Solving
c2 = 0

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

Simplifying
c2 = 0

Take the square root of each side:
c = {0}

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

Simplifying
-7 + 2c = 0

Solving
-7 + 2c = 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 + 2c = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2c = 0 + 7
2c = 0 + 7

Combine like terms: 0 + 7 = 7
2c = 7

Divide each side by '2'.
c = 3.5

Simplifying
c = 3.5
Solution
c = {0, 3.5}

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