(15c^2-3c)(35c-7)=

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Solution for (15c^2-3c)(35c-7)= equation:


Simplifying
(15c2 + -3c)(35c + -7) = 0

Reorder the terms:
(-3c + 15c2)(35c + -7) = 0

Reorder the terms:
(-3c + 15c2)(-7 + 35c) = 0

Multiply (-3c + 15c2) * (-7 + 35c)
(-3c * (-7 + 35c) + 15c2 * (-7 + 35c)) = 0
((-7 * -3c + 35c * -3c) + 15c2 * (-7 + 35c)) = 0
((21c + -105c2) + 15c2 * (-7 + 35c)) = 0
(21c + -105c2 + (-7 * 15c2 + 35c * 15c2)) = 0
(21c + -105c2 + (-105c2 + 525c3)) = 0

Combine like terms: -105c2 + -105c2 = -210c2
(21c + -210c2 + 525c3) = 0

Solving
21c + -210c2 + 525c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '21c'.
21c(1 + -10c + 25c2) = 0

Factor a trinomial.
21c((1 + -5c)(1 + -5c)) = 0

Ignore the factor 21.

Subproblem 1

Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c = 0

Subproblem 2

Set the factor '(1 + -5c)' equal to zero and attempt to solve: Simplifying 1 + -5c = 0 Solving 1 + -5c = 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 + -5c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5c = 0 + -1 -5c = 0 + -1 Combine like terms: 0 + -1 = -1 -5c = -1 Divide each side by '-5'. c = 0.2 Simplifying c = 0.2

Subproblem 3

Set the factor '(1 + -5c)' equal to zero and attempt to solve: Simplifying 1 + -5c = 0 Solving 1 + -5c = 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 + -5c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5c = 0 + -1 -5c = 0 + -1 Combine like terms: 0 + -1 = -1 -5c = -1 Divide each side by '-5'. c = 0.2 Simplifying c = 0.2

Solution

c = {0, 0.2, 0.2}

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