-16x^2+8x+190=0

Simple and best practice solution for -16x^2+8x+190=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+8x+190=0 equation: 


Simplifying
-16x2 + 8x + 190 = 0

Reorder the terms:
190 + 8x + -16x2 = 0

Solving
190 + 8x + -16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(95 + 4x + -8x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(95 + 4x + -8x2)' equal to zero and attempt to solve:

Simplifying
95 + 4x + -8x2 = 0

Solving
95 + 4x + -8x2 = 0

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

Divide each side by '-8'.
-11.875 + -0.5x + x2 = 0

Move the constant term to the right:

Add '11.875' to each side of the equation.
-11.875 + -0.5x + 11.875 + x2 = 0 + 11.875

Reorder the terms:
-11.875 + 11.875 + -0.5x + x2 = 0 + 11.875

Combine like terms: -11.875 + 11.875 = 0.000
0.000 + -0.5x + x2 = 0 + 11.875
-0.5x + x2 = 0 + 11.875

Combine like terms: 0 + 11.875 = 11.875
-0.5x + x2 = 11.875

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = 11.875 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = 11.875 + 0.0625

Combine like terms: 11.875 + 0.0625 = 11.9375
0.0625 + -0.5x + x2 = 11.9375

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = 11.9375

Calculate the square root of the right side: 3.45506874

Break this problem into two subproblems by setting 
(x + -0.25) equal to 3.45506874 and -3.45506874.


Subproblem 1
x + -0.25 = 3.45506874

Simplifying
x + -0.25 = 3.45506874

Reorder the terms:
-0.25 + x = 3.45506874

Solving
-0.25 + x = 3.45506874

Solving for variable 'x'.

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

Add '0.25' to each side of the equation.
-0.25 + 0.25 + x = 3.45506874 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + x = 3.45506874 + 0.25
x = 3.45506874 + 0.25

Combine like terms: 3.45506874 + 0.25 = 3.70506874
x = 3.70506874

Simplifying
x = 3.70506874


Subproblem 2
x + -0.25 = -3.45506874

Simplifying
x + -0.25 = -3.45506874

Reorder the terms:
-0.25 + x = -3.45506874

Solving
-0.25 + x = -3.45506874

Solving for variable 'x'.

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

Add '0.25' to each side of the equation.
-0.25 + 0.25 + x = -3.45506874 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + x = -3.45506874 + 0.25
x = -3.45506874 + 0.25

Combine like terms: -3.45506874 + 0.25 = -3.20506874
x = -3.20506874

Simplifying
x = -3.20506874


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.70506874, -3.20506874}
Solution
x = {3.70506874, -3.20506874}

See similar equations:

| 1/4+w=61/3 | | -6(x+2)-11=21+4 | | -3(y+5)=15 | | 2overs-7=11 | | -9=-4(u-18)+-5 | | 6x3/6 | | 13+2p=-5-6p | | 0.09xX=110.30 | | X+(x-1)=2(x+3) | | 12x-2m= | | 3x4/9= | | -5x+2(4x-15)=-63 | | -3(-7w+4)-3w=4(w-5)-4 | | W=1000-0.2t | | 28a^3b^4+20a^2b^2-16ab^3= | | x^8=140 | | 40x-40=28 | | 67+4y-30=15y-12-4y | | 9+3y-3=7y+15-3y | | 8x+3y=67 | | 8x-5y=-9 | | 18+-9= | | V(w-l)=p | | 93-(7x+6)=7(x+6)+x | | 2x^2+14x+59=0 | | Ab+c=2 | | 0=p-20/-2 | | 8x+9y-(2x+y)= | | log(x)+8.75=0 | | -2(6x-7)+6x=5+2(2x-3) | | j+16=-10-j | | 20sinx=10 |

Equations solver categories