5(3c^2-c)-5(c-2)=

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Solution for 5(3c^2-c)-5(c-2)= equation:


Simplifying
5(3c2 + -1c) + -5(c + -2) = 0

Reorder the terms:
5(-1c + 3c2) + -5(c + -2) = 0
(-1c * 5 + 3c2 * 5) + -5(c + -2) = 0
(-5c + 15c2) + -5(c + -2) = 0

Reorder the terms:
-5c + 15c2 + -5(-2 + c) = 0
-5c + 15c2 + (-2 * -5 + c * -5) = 0
-5c + 15c2 + (10 + -5c) = 0

Reorder the terms:
10 + -5c + -5c + 15c2 = 0

Combine like terms: -5c + -5c = -10c
10 + -10c + 15c2 = 0

Solving
10 + -10c + 15c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '5'.
5(2 + -2c + 3c2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(2 + -2c + 3c2)' equal to zero and attempt to solve: Simplifying 2 + -2c + 3c2 = 0 Solving 2 + -2c + 3c2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 0.6666666667 + -0.6666666667c + c2 = 0 Move the constant term to the right: Add '-0.6666666667' to each side of the equation. 0.6666666667 + -0.6666666667c + -0.6666666667 + c2 = 0 + -0.6666666667 Reorder the terms: 0.6666666667 + -0.6666666667 + -0.6666666667c + c2 = 0 + -0.6666666667 Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000 0.0000000000 + -0.6666666667c + c2 = 0 + -0.6666666667 -0.6666666667c + c2 = 0 + -0.6666666667 Combine like terms: 0 + -0.6666666667 = -0.6666666667 -0.6666666667c + c2 = -0.6666666667 The c term is -0.6666666667c. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667c + 0.1111111112 + c2 = -0.6666666667 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667c + c2 = -0.6666666667 + 0.1111111112 Combine like terms: -0.6666666667 + 0.1111111112 = -0.5555555555 0.1111111112 + -0.6666666667c + c2 = -0.5555555555 Factor a perfect square on the left side: (c + -0.3333333334)(c + -0.3333333334) = -0.5555555555 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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