(-8c+5)(-4c+3)=

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Solution for (-8c+5)(-4c+3)= equation:


Simplifying
(-8c + 5)(-4c + 3) = 0

Reorder the terms:
(5 + -8c)(-4c + 3) = 0

Reorder the terms:
(5 + -8c)(3 + -4c) = 0

Multiply (5 + -8c) * (3 + -4c)
(5(3 + -4c) + -8c * (3 + -4c)) = 0
((3 * 5 + -4c * 5) + -8c * (3 + -4c)) = 0
((15 + -20c) + -8c * (3 + -4c)) = 0
(15 + -20c + (3 * -8c + -4c * -8c)) = 0
(15 + -20c + (-24c + 32c2)) = 0

Combine like terms: -20c + -24c = -44c
(15 + -44c + 32c2) = 0

Solving
15 + -44c + 32c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(5 + -8c)(3 + -4c) = 0

Subproblem 1

Set the factor '(5 + -8c)' equal to zero and attempt to solve: Simplifying 5 + -8c = 0 Solving 5 + -8c = 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 + -8c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8c = 0 + -5 -8c = 0 + -5 Combine like terms: 0 + -5 = -5 -8c = -5 Divide each side by '-8'. c = 0.625 Simplifying c = 0.625

Subproblem 2

Set the factor '(3 + -4c)' equal to zero and attempt to solve: Simplifying 3 + -4c = 0 Solving 3 + -4c = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4c = 0 + -3 -4c = 0 + -3 Combine like terms: 0 + -3 = -3 -4c = -3 Divide each side by '-4'. c = 0.75 Simplifying c = 0.75

Solution

c = {0.625, 0.75}

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