(4c-2)(5c-4)=

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Solution for (4c-2)(5c-4)= equation:


Simplifying
(4c + -2)(5c + -4) = 0

Reorder the terms:
(-2 + 4c)(5c + -4) = 0

Reorder the terms:
(-2 + 4c)(-4 + 5c) = 0

Multiply (-2 + 4c) * (-4 + 5c)
(-2(-4 + 5c) + 4c * (-4 + 5c)) = 0
((-4 * -2 + 5c * -2) + 4c * (-4 + 5c)) = 0
((8 + -10c) + 4c * (-4 + 5c)) = 0
(8 + -10c + (-4 * 4c + 5c * 4c)) = 0
(8 + -10c + (-16c + 20c2)) = 0

Combine like terms: -10c + -16c = -26c
(8 + -26c + 20c2) = 0

Solving
8 + -26c + 20c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -13c + 10c2) = 0

Factor a trinomial.
2((1 + -2c)(4 + -5c)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(1 + -2c)' equal to zero and attempt to solve: Simplifying 1 + -2c = 0 Solving 1 + -2c = 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 + -2c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2c = 0 + -1 -2c = 0 + -1 Combine like terms: 0 + -1 = -1 -2c = -1 Divide each side by '-2'. c = 0.5 Simplifying c = 0.5

Subproblem 2

Set the factor '(4 + -5c)' equal to zero and attempt to solve: Simplifying 4 + -5c = 0 Solving 4 + -5c = 0 Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5c = 0 + -4 -5c = 0 + -4 Combine like terms: 0 + -4 = -4 -5c = -4 Divide each side by '-5'. c = 0.8 Simplifying c = 0.8

Solution

c = {0.5, 0.8}

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