32c^2-36c+24c-27=

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Solution for 32c^2-36c+24c-27= equation:


Simplifying
32c2 + -36c + 24c + -27 = 0

Reorder the terms:
-27 + -36c + 24c + 32c2 = 0

Combine like terms: -36c + 24c = -12c
-27 + -12c + 32c2 = 0

Solving
-27 + -12c + 32c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-3 + -4c)(9 + -8c) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(9 + -8c)' equal to zero and attempt to solve: Simplifying 9 + -8c = 0 Solving 9 + -8c = 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 + -8c = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8c = 0 + -9 -8c = 0 + -9 Combine like terms: 0 + -9 = -9 -8c = -9 Divide each side by '-8'. c = 1.125 Simplifying c = 1.125

Solution

c = {-0.75, 1.125}

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