(-9c-8)(2c-9)=0

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Solution for (-9c-8)(2c-9)=0 equation:


Simplifying
(-9c + -8)(2c + -9) = 0

Reorder the terms:
(-8 + -9c)(2c + -9) = 0

Reorder the terms:
(-8 + -9c)(-9 + 2c) = 0

Multiply (-8 + -9c) * (-9 + 2c)
(-8(-9 + 2c) + -9c * (-9 + 2c)) = 0
((-9 * -8 + 2c * -8) + -9c * (-9 + 2c)) = 0
((72 + -16c) + -9c * (-9 + 2c)) = 0
(72 + -16c + (-9 * -9c + 2c * -9c)) = 0
(72 + -16c + (81c + -18c2)) = 0

Combine like terms: -16c + 81c = 65c
(72 + 65c + -18c2) = 0

Solving
72 + 65c + -18c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(9 + -2c)(8 + 9c) = 0

Subproblem 1

Set the factor '(9 + -2c)' equal to zero and attempt to solve: Simplifying 9 + -2c = 0 Solving 9 + -2c = 0 Move all terms containing c to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2c = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2c = 0 + -9 -2c = 0 + -9 Combine like terms: 0 + -9 = -9 -2c = -9 Divide each side by '-2'. c = 4.5 Simplifying c = 4.5

Subproblem 2

Set the factor '(8 + 9c)' equal to zero and attempt to solve: Simplifying 8 + 9c = 0 Solving 8 + 9c = 0 Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 9c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9c = 0 + -8 9c = 0 + -8 Combine like terms: 0 + -8 = -8 9c = -8 Divide each side by '9'. c = -0.8888888889 Simplifying c = -0.8888888889

Solution

c = {4.5, -0.8888888889}

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