(c+7)(c-5)=

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Solution for (c+7)(c-5)= equation:


Simplifying
(c + 7)(c + -5) = 0

Reorder the terms:
(7 + c)(c + -5) = 0

Reorder the terms:
(7 + c)(-5 + c) = 0

Multiply (7 + c) * (-5 + c)
(7(-5 + c) + c(-5 + c)) = 0
((-5 * 7 + c * 7) + c(-5 + c)) = 0
((-35 + 7c) + c(-5 + c)) = 0
(-35 + 7c + (-5 * c + c * c)) = 0
(-35 + 7c + (-5c + c2)) = 0

Combine like terms: 7c + -5c = 2c
(-35 + 2c + c2) = 0

Solving
-35 + 2c + c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-7 + -1c)(5 + -1c) = 0

Subproblem 1

Set the factor '(-7 + -1c)' equal to zero and attempt to solve: Simplifying -7 + -1c = 0 Solving -7 + -1c = 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 + -1c = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1c = 0 + 7 -1c = 0 + 7 Combine like terms: 0 + 7 = 7 -1c = 7 Divide each side by '-1'. c = -7 Simplifying c = -7

Subproblem 2

Set the factor '(5 + -1c)' equal to zero and attempt to solve: Simplifying 5 + -1c = 0 Solving 5 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1c = 0 + -5 -1c = 0 + -5 Combine like terms: 0 + -5 = -5 -1c = -5 Divide each side by '-1'. c = 5 Simplifying c = 5

Solution

c = {-7, 5}

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