-16x^2+44x+18=0

Simple and best practice solution for -16x^2+44x+18=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 -16x^2+44x+18=0 equation: 


Simplifying
-16x2 + 44x + 18 = 0

Reorder the terms:
18 + 44x + -16x2 = 0

Solving
18 + 44x + -16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + 22x + -8x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(9 + 22x + -8x2)' equal to zero and attempt to solve:

Simplifying
9 + 22x + -8x2 = 0

Solving
9 + 22x + -8x2 = 0

Begin completing the square.  Divide all terms by
-8 the coefficient of the squared term: 

Divide each side by '-8'.
-1.125 + -2.75x + x2 = 0

Move the constant term to the right:

Add '1.125' to each side of the equation.
-1.125 + -2.75x + 1.125 + x2 = 0 + 1.125

Reorder the terms:
-1.125 + 1.125 + -2.75x + x2 = 0 + 1.125

Combine like terms: -1.125 + 1.125 = 0.000
0.000 + -2.75x + x2 = 0 + 1.125
-2.75x + x2 = 0 + 1.125

Combine like terms: 0 + 1.125 = 1.125
-2.75x + x2 = 1.125

The x term is -2.75x.  Take half its coefficient (-1.375).
Square it (1.890625) and add it to both sides.

Add '1.890625' to each side of the equation.
-2.75x + 1.890625 + x2 = 1.125 + 1.890625

Reorder the terms:
1.890625 + -2.75x + x2 = 1.125 + 1.890625

Combine like terms: 1.125 + 1.890625 = 3.015625
1.890625 + -2.75x + x2 = 3.015625

Factor a perfect square on the left side:
(x + -1.375)(x + -1.375) = 3.015625

Calculate the square root of the right side: 1.736555499

Break this problem into two subproblems by setting 
(x + -1.375) equal to 1.736555499 and -1.736555499.


Subproblem 1
x + -1.375 = 1.736555499

Simplifying
x + -1.375 = 1.736555499

Reorder the terms:
-1.375 + x = 1.736555499

Solving
-1.375 + x = 1.736555499

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1.375' to each side of the equation.
-1.375 + 1.375 + x = 1.736555499 + 1.375

Combine like terms: -1.375 + 1.375 = 0.000
0.000 + x = 1.736555499 + 1.375
x = 1.736555499 + 1.375

Combine like terms: 1.736555499 + 1.375 = 3.111555499
x = 3.111555499

Simplifying
x = 3.111555499


Subproblem 2
x + -1.375 = -1.736555499

Simplifying
x + -1.375 = -1.736555499

Reorder the terms:
-1.375 + x = -1.736555499

Solving
-1.375 + x = -1.736555499

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1.375' to each side of the equation.
-1.375 + 1.375 + x = -1.736555499 + 1.375

Combine like terms: -1.375 + 1.375 = 0.000
0.000 + x = -1.736555499 + 1.375
x = -1.736555499 + 1.375

Combine like terms: -1.736555499 + 1.375 = -0.361555499
x = -0.361555499

Simplifying
x = -0.361555499


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.111555499, -0.361555499}
Solution
x = {3.111555499, -0.361555499}

See similar equations:

| X(x+3x)=28 | | 2(4b+8)=4+6b | | 3t-(-12t)-15t+(-20t)-(-8)=-12 | | -5(1-(-25))+5((-8(-5))-2)=-4(-5)-8(-5) | | 0.25x-3=0.4 | | 27x+6=87 | | j-18=3 | | (6x^2-3x-10)/(x-8) | | Bx-2b=7x | | 125-3x=37 | | 5x+8=3x+3-2x-5 | | 2x+12-(3-5x)=15x-7 | | 13x+4x-15x-2x+x-1=8 | | (6x2-3x-10)/(x-8) | | 7p-5= | | -10.1m-5.57=7.13-6.3m-3.2 | | -1(x-1)=2(x+3) | | 2(-x-4)+x=19 | | N-2=3n+2 | | 26x+4=134 | | 12+3b=15 | | x+(40+1)=170 | | 10x-10=1x-1 | | 3c-2c=2 | | .75b=-9 | | 3e*x=7 | | 3b+4b+(-6b)=-20 | | 285y+5=-9 | | 4y-10+y+48=8y+40-5y | | x+(2x+1)=16 | | 8w=28+w | | 3x+10=.2(10+1) |

Equations solver categories