-16x^2+31x-14=0

Simple and best practice solution for -16x^2+31x-14=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+31x-14=0 equation: 


Simplifying
-16x2 + 31x + -14 = 0

Reorder the terms:
-14 + 31x + -16x2 = 0

Solving
-14 + 31x + -16x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-16 the coefficient of the squared term: 

Divide each side by '-16'.
0.875 + -1.9375x + x2 = 0

Move the constant term to the right:

Add '-0.875' to each side of the equation.
0.875 + -1.9375x + -0.875 + x2 = 0 + -0.875

Reorder the terms:
0.875 + -0.875 + -1.9375x + x2 = 0 + -0.875

Combine like terms: 0.875 + -0.875 = 0.000
0.000 + -1.9375x + x2 = 0 + -0.875
-1.9375x + x2 = 0 + -0.875

Combine like terms: 0 + -0.875 = -0.875
-1.9375x + x2 = -0.875

The x term is -1.9375x.  Take half its coefficient (-0.96875).
Square it (0.9384765625) and add it to both sides.

Add '0.9384765625' to each side of the equation.
-1.9375x + 0.9384765625 + x2 = -0.875 + 0.9384765625

Reorder the terms:
0.9384765625 + -1.9375x + x2 = -0.875 + 0.9384765625

Combine like terms: -0.875 + 0.9384765625 = 0.0634765625
0.9384765625 + -1.9375x + x2 = 0.0634765625

Factor a perfect square on the left side:
(x + -0.96875)(x + -0.96875) = 0.0634765625

Calculate the square root of the right side: 0.251945555

Break this problem into two subproblems by setting 
(x + -0.96875) equal to 0.251945555 and -0.251945555.


Subproblem 1
x + -0.96875 = 0.251945555

Simplifying
x + -0.96875 = 0.251945555

Reorder the terms:
-0.96875 + x = 0.251945555

Solving
-0.96875 + x = 0.251945555

Solving for variable 'x'.

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

Add '0.96875' to each side of the equation.
-0.96875 + 0.96875 + x = 0.251945555 + 0.96875

Combine like terms: -0.96875 + 0.96875 = 0.00000
0.00000 + x = 0.251945555 + 0.96875
x = 0.251945555 + 0.96875

Combine like terms: 0.251945555 + 0.96875 = 1.220695555
x = 1.220695555

Simplifying
x = 1.220695555


Subproblem 2
x + -0.96875 = -0.251945555

Simplifying
x + -0.96875 = -0.251945555

Reorder the terms:
-0.96875 + x = -0.251945555

Solving
-0.96875 + x = -0.251945555

Solving for variable 'x'.

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

Add '0.96875' to each side of the equation.
-0.96875 + 0.96875 + x = -0.251945555 + 0.96875

Combine like terms: -0.96875 + 0.96875 = 0.00000
0.00000 + x = -0.251945555 + 0.96875
x = -0.251945555 + 0.96875

Combine like terms: -0.251945555 + 0.96875 = 0.716804445
x = 0.716804445

Simplifying
x = 0.716804445


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.220695555, 0.716804445}

See similar equations:

| 26x=8+x | | G/6-20 | | 2(x-3)=5(-x+1) | | -(3b+5)=3(8b+7) | | 3(x^2+100)=0 | | 1.5x+-0.3=.27 | | -12h= 4 | | 8m^2+9m-24=-2 | | 5x-4=10x-3 | | (3n+7)(5n-4)= | | 3x+9-4=6x+2 | | 10k^2+53k+36=0 | | 8-4x=-10-5x | | 10b^2=28b-18 | | 4 = 12v | | 8y+3=3y+8 | | 5=5(y-6) | | -3/2(4x-9)=11 | | tanx=4/18 | | -4n(2n-6)=0 | | 5x^2+240=70x | | y=2x^2-16x+6 | | b^2+13b+3=-3 | | 13/15-5/9 | | 100-28.57142857=x | | -t+-2t=-3 | | 15!/6!5! | | 200=53x | | (4y-1)-(6y+9)= | | 60^3/2^2 | | 26-3v=4v+5 | | 2x^2+4x-33=-3 |

Equations solver categories