(14c+15)(14c+15)=

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Solution for (14c+15)(14c+15)= equation:


Simplifying
(14c + 15)(14c + 15) = 0

Reorder the terms:
(15 + 14c)(14c + 15) = 0

Reorder the terms:
(15 + 14c)(15 + 14c) = 0

Multiply (15 + 14c) * (15 + 14c)
(15(15 + 14c) + 14c * (15 + 14c)) = 0
((15 * 15 + 14c * 15) + 14c * (15 + 14c)) = 0
((225 + 210c) + 14c * (15 + 14c)) = 0
(225 + 210c + (15 * 14c + 14c * 14c)) = 0
(225 + 210c + (210c + 196c2)) = 0

Combine like terms: 210c + 210c = 420c
(225 + 420c + 196c2) = 0

Solving
225 + 420c + 196c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(15 + 14c)(15 + 14c) = 0

Subproblem 1

Set the factor '(15 + 14c)' equal to zero and attempt to solve: Simplifying 15 + 14c = 0 Solving 15 + 14c = 0 Move all terms containing c to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 14c = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 14c = 0 + -15 14c = 0 + -15 Combine like terms: 0 + -15 = -15 14c = -15 Divide each side by '14'. c = -1.071428571 Simplifying c = -1.071428571

Subproblem 2

Set the factor '(15 + 14c)' equal to zero and attempt to solve: Simplifying 15 + 14c = 0 Solving 15 + 14c = 0 Move all terms containing c to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 14c = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 14c = 0 + -15 14c = 0 + -15 Combine like terms: 0 + -15 = -15 14c = -15 Divide each side by '14'. c = -1.071428571 Simplifying c = -1.071428571

Solution

c = {-1.071428571, -1.071428571}

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