(3c-2)(4c-4)=

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Solution for (3c-2)(4c-4)= equation:


Simplifying
(3c + -2)(4c + -4) = 0

Reorder the terms:
(-2 + 3c)(4c + -4) = 0

Reorder the terms:
(-2 + 3c)(-4 + 4c) = 0

Multiply (-2 + 3c) * (-4 + 4c)
(-2(-4 + 4c) + 3c * (-4 + 4c)) = 0
((-4 * -2 + 4c * -2) + 3c * (-4 + 4c)) = 0
((8 + -8c) + 3c * (-4 + 4c)) = 0
(8 + -8c + (-4 * 3c + 4c * 3c)) = 0
(8 + -8c + (-12c + 12c2)) = 0

Combine like terms: -8c + -12c = -20c
(8 + -20c + 12c2) = 0

Solving
8 + -20c + 12c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '4'.
4(2 + -5c + 3c2) = 0

Factor a trinomial.
4((2 + -3c)(1 + -1c)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(2 + -3c)' equal to zero and attempt to solve: Simplifying 2 + -3c = 0 Solving 2 + -3c = 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 + -3c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3c = 0 + -2 -3c = 0 + -2 Combine like terms: 0 + -2 = -2 -3c = -2 Divide each side by '-3'. c = 0.6666666667 Simplifying c = 0.6666666667

Subproblem 2

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

Solution

c = {0.6666666667, 1}

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