15=-3c(c-1)+9

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Solution for 15=-3c(c-1)+9 equation:


Simplifying
15 = -3c(c + -1) + 9

Reorder the terms:
15 = -3c(-1 + c) + 9
15 = (-1 * -3c + c * -3c) + 9
15 = (3c + -3c2) + 9

Reorder the terms:
15 = 9 + 3c + -3c2

Solving
15 = 9 + 3c + -3c2

Solving for variable 'c'.

Combine like terms: 15 + -9 = 6
6 + -3c + 3c2 = 9 + 3c + -3c2 + -9 + -3c + 3c2

Reorder the terms:
6 + -3c + 3c2 = 9 + -9 + 3c + -3c + -3c2 + 3c2

Combine like terms: 9 + -9 = 0
6 + -3c + 3c2 = 0 + 3c + -3c + -3c2 + 3c2
6 + -3c + 3c2 = 3c + -3c + -3c2 + 3c2

Combine like terms: 3c + -3c = 0
6 + -3c + 3c2 = 0 + -3c2 + 3c2
6 + -3c + 3c2 = -3c2 + 3c2

Combine like terms: -3c2 + 3c2 = 0
6 + -3c + 3c2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(2 + -1c + c2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(2 + -1c + c2)' equal to zero and attempt to solve:

Simplifying
2 + -1c + c2 = 0

Solving
2 + -1c + c2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -1c + -2 + c2 = 0 + -2

Reorder the terms:
2 + -2 + -1c + c2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1c + c2 = 0 + -2
-1c + c2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1c + c2 = -2

The c term is -1c.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1c + 0.25 + c2 = -2 + 0.25

Reorder the terms:
0.25 + -1c + c2 = -2 + 0.25

Combine like terms: -2 + 0.25 = -1.75
0.25 + -1c + c2 = -1.75

Factor a perfect square on the left side:
(c + -0.5)(c + -0.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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