2c^2+16c-44=0

Simple and best practice solution for 2c^2+16c-44=0 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 2c^2+16c-44=0 equation:


Simplifying
2c2 + 16c + -44 = 0

Reorder the terms:
-44 + 16c + 2c2 = 0

Solving
-44 + 16c + 2c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-22 + 8c + c2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-22 + 8c + c2)' equal to zero and attempt to solve: Simplifying -22 + 8c + c2 = 0 Solving -22 + 8c + c2 = 0 Begin completing the square. Move the constant term to the right: Add '22' to each side of the equation. -22 + 8c + 22 + c2 = 0 + 22 Reorder the terms: -22 + 22 + 8c + c2 = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 8c + c2 = 0 + 22 8c + c2 = 0 + 22 Combine like terms: 0 + 22 = 22 8c + c2 = 22 The c term is 8c. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8c + 16 + c2 = 22 + 16 Reorder the terms: 16 + 8c + c2 = 22 + 16 Combine like terms: 22 + 16 = 38 16 + 8c + c2 = 38 Factor a perfect square on the left side: (c + 4)(c + 4) = 38 Calculate the square root of the right side: 6.164414003 Break this problem into two subproblems by setting (c + 4) equal to 6.164414003 and -6.164414003.

Subproblem 1

c + 4 = 6.164414003 Simplifying c + 4 = 6.164414003 Reorder the terms: 4 + c = 6.164414003 Solving 4 + c = 6.164414003 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + c = 6.164414003 + -4 Combine like terms: 4 + -4 = 0 0 + c = 6.164414003 + -4 c = 6.164414003 + -4 Combine like terms: 6.164414003 + -4 = 2.164414003 c = 2.164414003 Simplifying c = 2.164414003

Subproblem 2

c + 4 = -6.164414003 Simplifying c + 4 = -6.164414003 Reorder the terms: 4 + c = -6.164414003 Solving 4 + c = -6.164414003 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + c = -6.164414003 + -4 Combine like terms: 4 + -4 = 0 0 + c = -6.164414003 + -4 c = -6.164414003 + -4 Combine like terms: -6.164414003 + -4 = -10.164414003 c = -10.164414003 Simplifying c = -10.164414003

Solution

The solution to the problem is based on the solutions from the subproblems. c = {2.164414003, -10.164414003}

Solution

c = {2.164414003, -10.164414003}

See similar equations:

| 2+3g=11 | | 2sin^2x+sin^2x-2=0 | | 87-(7x+15)=7(x+6)+x | | 15+-1(4x-3-5)=32 | | -65x+-15=-12x | | 2n+17=3n+38 | | 6x+15=84 | | 5(6x-7)+3x=4x-32+29 | | 13x+20(788-x)=12953 | | 9x+13=6x+12 | | 16+2y=4 | | 65x^5+7x^3= | | 5(6t+1)-9=t-(t+3) | | 3(x-9)=2(4x+26) | | 3(2y-8)-(5y+7)= | | X+25+3x=30-3x-36 | | 4x+4=7+2x+23 | | 8=a^2+9a | | 4(6x-2)=34 | | 8=7+m | | M/4=100 | | 50=-16x^2+96x | | -5(2x-9)=2(x-3)-93 | | 2(5t+1)-15=t-(t+12) | | 15x+80=25x | | 15((x^2)-1)=16x | | 2x=32+8 | | 1/5n=10.2 | | 4x^8+36x^7+80X^6= | | 4y-6+y+50=8y+50-5y | | 55x-3(9x+12)=-6 | | -d+7d+17=-19 |

Equations solver categories