2c^2-3c-14=0

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Solution for 2c^2-3c-14=0 equation:


Simplifying
2c2 + -3c + -14 = 0

Reorder the terms:
-14 + -3c + 2c2 = 0

Solving
-14 + -3c + 2c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-2 + -1c)(7 + -2c) = 0

Subproblem 1

Set the factor '(-2 + -1c)' equal to zero and attempt to solve: Simplifying -2 + -1c = 0 Solving -2 + -1c = 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 + -1c = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1c = 0 + 2 -1c = 0 + 2 Combine like terms: 0 + 2 = 2 -1c = 2 Divide each side by '-1'. c = -2 Simplifying c = -2

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 = {-2, 3.5}

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