(13c+7)(6c-5)=0

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Solution for (13c+7)(6c-5)=0 equation:


Simplifying
(13c + 7)(6c + -5) = 0

Reorder the terms:
(7 + 13c)(6c + -5) = 0

Reorder the terms:
(7 + 13c)(-5 + 6c) = 0

Multiply (7 + 13c) * (-5 + 6c)
(7(-5 + 6c) + 13c * (-5 + 6c)) = 0
((-5 * 7 + 6c * 7) + 13c * (-5 + 6c)) = 0
((-35 + 42c) + 13c * (-5 + 6c)) = 0
(-35 + 42c + (-5 * 13c + 6c * 13c)) = 0
(-35 + 42c + (-65c + 78c2)) = 0

Combine like terms: 42c + -65c = -23c
(-35 + -23c + 78c2) = 0

Solving
-35 + -23c + 78c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-7 + -13c)(5 + -6c) = 0

Subproblem 1

Set the factor '(-7 + -13c)' equal to zero and attempt to solve: Simplifying -7 + -13c = 0 Solving -7 + -13c = 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 + -13c = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -13c = 0 + 7 -13c = 0 + 7 Combine like terms: 0 + 7 = 7 -13c = 7 Divide each side by '-13'. c = -0.5384615385 Simplifying c = -0.5384615385

Subproblem 2

Set the factor '(5 + -6c)' equal to zero and attempt to solve: Simplifying 5 + -6c = 0 Solving 5 + -6c = 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 + -6c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6c = 0 + -5 -6c = 0 + -5 Combine like terms: 0 + -5 = -5 -6c = -5 Divide each side by '-6'. c = 0.8333333333 Simplifying c = 0.8333333333

Solution

c = {-0.5384615385, 0.8333333333}

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