4c^2=9c+9

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Solution for 4c^2=9c+9 equation:


Simplifying
4c2 = 9c + 9

Reorder the terms:
4c2 = 9 + 9c

Solving
4c2 = 9 + 9c

Solving for variable 'c'.

Reorder the terms:
-9 + -9c + 4c2 = 9 + 9c + -9 + -9c

Reorder the terms:
-9 + -9c + 4c2 = 9 + -9 + 9c + -9c

Combine like terms: 9 + -9 = 0
-9 + -9c + 4c2 = 0 + 9c + -9c
-9 + -9c + 4c2 = 9c + -9c

Combine like terms: 9c + -9c = 0
-9 + -9c + 4c2 = 0

Factor a trinomial.
(-3 + -4c)(3 + -1c) = 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 '(3 + -1c)' equal to zero and attempt to solve: Simplifying 3 + -1c = 0 Solving 3 + -1c = 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 + -1c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1c = 0 + -3 -1c = 0 + -3 Combine like terms: 0 + -3 = -3 -1c = -3 Divide each side by '-1'. c = 3 Simplifying c = 3

Solution

c = {-0.75, 3}

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