-3c^2+18c=-15

Simple and best practice solution for -3c^2+18c=-15 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for -3c^2+18c=-15 equation:


Simplifying
-3c2 + 18c = -15

Reorder the terms:
18c + -3c2 = -15

Solving
18c + -3c2 = -15

Solving for variable 'c'.

Reorder the terms:
15 + 18c + -3c2 = -15 + 15

Combine like terms: -15 + 15 = 0
15 + 18c + -3c2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + 6c + -1c2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(5 + 6c + -1c2)' equal to zero and attempt to solve: Simplifying 5 + 6c + -1c2 = 0 Solving 5 + 6c + -1c2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -5 + -6c + c2 = 0 Move the constant term to the right: Add '5' to each side of the equation. -5 + -6c + 5 + c2 = 0 + 5 Reorder the terms: -5 + 5 + -6c + c2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6c + c2 = 0 + 5 -6c + c2 = 0 + 5 Combine like terms: 0 + 5 = 5 -6c + c2 = 5 The c term is -6c. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6c + 9 + c2 = 5 + 9 Reorder the terms: 9 + -6c + c2 = 5 + 9 Combine like terms: 5 + 9 = 14 9 + -6c + c2 = 14 Factor a perfect square on the left side: (c + -3)(c + -3) = 14 Calculate the square root of the right side: 3.741657387 Break this problem into two subproblems by setting (c + -3) equal to 3.741657387 and -3.741657387.

Subproblem 1

c + -3 = 3.741657387 Simplifying c + -3 = 3.741657387 Reorder the terms: -3 + c = 3.741657387 Solving -3 + c = 3.741657387 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + c = 3.741657387 + 3 Combine like terms: -3 + 3 = 0 0 + c = 3.741657387 + 3 c = 3.741657387 + 3 Combine like terms: 3.741657387 + 3 = 6.741657387 c = 6.741657387 Simplifying c = 6.741657387

Subproblem 2

c + -3 = -3.741657387 Simplifying c + -3 = -3.741657387 Reorder the terms: -3 + c = -3.741657387 Solving -3 + c = -3.741657387 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + c = -3.741657387 + 3 Combine like terms: -3 + 3 = 0 0 + c = -3.741657387 + 3 c = -3.741657387 + 3 Combine like terms: -3.741657387 + 3 = -0.741657387 c = -0.741657387 Simplifying c = -0.741657387

Solution

The solution to the problem is based on the solutions from the subproblems. c = {6.741657387, -0.741657387}

Solution

c = {6.741657387, -0.741657387}

See similar equations:

| x+9/10=1/5+x-8/4 | | -3-7(2n+3)=3(1-4n)+3 | | -2k+12=30 | | 12-4m=m^2 | | 11(-x+8)=6(-11+6)-3 | | 3y-9+y=12+4y-3y | | 5-7x=4+10 | | -6v-3=-33 | | -38-2x=-5(x+2)-7 | | 10(10-2x)-2x=-44-6x | | 5-2/3n=7 | | -2r+1=7(2r-7)-8(-7+2r) | | y=4y-5 | | 144=4x+(4-10) | | -x+5x-5=2x-2(3-x) | | -6(a+3)=4(a+3) | | 10-(10-2x)-2x=-44-6x | | 3-n/3=7 | | sqrt(5x-26)+4=x | | -4+2x-3=10-4 | | -8(7-a)=-40-8a | | 1/2x-4/5y=19 | | f(x)=2secx | | 2(w+4)=7(w-11) | | 7+-x+3=9x+10 | | 2x^2+2y=48 | | 4m^2-42=17m | | 7(b+3)+2(-4b+5)=b+8+5 | | x+5/6=5/3+x-2/4 | | 8x+1=-x+-1 | | 2d=(a-b)/(b-c) | | (x^2-6x+9)*(3x-4)=0 |

Equations solver categories