15c^2-7c-2=0

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Solution for 15c^2-7c-2=0 equation:


Simplifying
15c2 + -7c + -2 = 0

Reorder the terms:
-2 + -7c + 15c2 = 0

Solving
-2 + -7c + 15c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-1 + -5c)(2 + -3c) = 0

Subproblem 1

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 2

Set the factor '(2 + -3c)' equal to zero and attempt to solve: Simplifying 2 + -3c = 0 Solving 2 + -3c = 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 + -3c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3c = 0 + -2 -3c = 0 + -2 Combine like terms: 0 + -2 = -2 -3c = -2 Divide each side by '-3'. c = 0.6666666667 Simplifying c = 0.6666666667

Solution

c = {-0.2, 0.6666666667}

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