2x^2-16x-46=0

Simple and best practice solution for 2x^2-16x-46=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 2x^2-16x-46=0 equation: 


Simplifying
2x2 + -16x + -46 = 0

Reorder the terms:
-46 + -16x + 2x2 = 0

Solving
-46 + -16x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-23 + -8x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-23 + -8x + x2)' equal to zero and attempt to solve:

Simplifying
-23 + -8x + x2 = 0

Solving
-23 + -8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '23' to each side of the equation.
-23 + -8x + 23 + x2 = 0 + 23

Reorder the terms:
-23 + 23 + -8x + x2 = 0 + 23

Combine like terms: -23 + 23 = 0
0 + -8x + x2 = 0 + 23
-8x + x2 = 0 + 23

Combine like terms: 0 + 23 = 23
-8x + x2 = 23

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = 23 + 16

Reorder the terms:
16 + -8x + x2 = 23 + 16

Combine like terms: 23 + 16 = 39
16 + -8x + x2 = 39

Factor a perfect square on the left side:
(x + -4)(x + -4) = 39

Calculate the square root of the right side: 6.244997998

Break this problem into two subproblems by setting 
(x + -4) equal to 6.244997998 and -6.244997998.


Subproblem 1
x + -4 = 6.244997998

Simplifying
x + -4 = 6.244997998

Reorder the terms:
-4 + x = 6.244997998

Solving
-4 + x = 6.244997998

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x = 6.244997998 + 4

Combine like terms: -4 + 4 = 0
0 + x = 6.244997998 + 4
x = 6.244997998 + 4

Combine like terms: 6.244997998 + 4 = 10.244997998
x = 10.244997998

Simplifying
x = 10.244997998


Subproblem 2
x + -4 = -6.244997998

Simplifying
x + -4 = -6.244997998

Reorder the terms:
-4 + x = -6.244997998

Solving
-4 + x = -6.244997998

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x = -6.244997998 + 4

Combine like terms: -4 + 4 = 0
0 + x = -6.244997998 + 4
x = -6.244997998 + 4

Combine like terms: -6.244997998 + 4 = -2.244997998
x = -2.244997998

Simplifying
x = -2.244997998


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {10.244997998, -2.244997998}
Solution
x = {10.244997998, -2.244997998}

See similar equations:

| 0.5x+0.35(30)=31.5 | | 1+(.33)a=-6 | | 2x^3-8x^2+9x-36=0 | | 11/12-7/20= | | f(x)=x^3+12x^2+48x+60 | | 512=(8x)2+(15x)2 | | 100-25=9(3)+4r | | 1+(.33xa)=-6 | | 5x+11=10x-9 | | 0=2-(1/2)x | | 1+.333xa=-6 | | x(x+1.3)=63.5 | | G(x)=.5x^2 | | f(x)=6x^2+12x-48 | | G(x)=1/2x^2 | | 3log^7+log^2= | | 10^(-3x)10^x=1/10 | | 9/6=x10 | | z/54=5/9 | | 9/2=m/12 | | w/25=4/7 | | 2x+16=11x-9 | | 7sin(2x+3)=2 | | (1.9)(28.0)=(.0821)n(298) | | 9/7z^3=x/63z^12 | | y-10=-2(x-7) | | P(20.4)=(.0821)(.684)(329) | | 16z+4x=yforc | | logx(7y+1)-logx(2y)=1 | | -3(x+3t)-7(x-2)=0 | | -2(x-4)=2(4-x) | | x=x-0.10 |

Equations solver categories