2x^2-6x-8=x^2-16

Simple and best practice solution for 2x^2-6x-8=x^2-16 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^2-6x-8=x^2-16 equation: 


Simplifying
2x2 + -6x + -8 = x2 + -16

Reorder the terms:
-8 + -6x + 2x2 = x2 + -16

Reorder the terms:
-8 + -6x + 2x2 = -16 + x2

Solving
-8 + -6x + 2x2 = -16 + x2

Solving for variable 'x'.

Reorder the terms:
-8 + 16 + -6x + 2x2 + -1x2 = -16 + x2 + 16 + -1x2

Combine like terms: -8 + 16 = 8
8 + -6x + 2x2 + -1x2 = -16 + x2 + 16 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
8 + -6x + 1x2 = -16 + x2 + 16 + -1x2

Reorder the terms:
8 + -6x + 1x2 = -16 + 16 + x2 + -1x2

Combine like terms: -16 + 16 = 0
8 + -6x + 1x2 = 0 + x2 + -1x2
8 + -6x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8 + -6x + 1x2 = 0

Factor a trinomial.
(2 + -1x)(4 + -1x) = 0


Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {2, 4}

See similar equations:

| 2t^2+7t= | | ((7)/(2w+6))+2=-((3)/(w+3)) | | 0.5x-x=5 | | y=-5/4*-6.25+5 | | 4(x-1)+44=-4x | | 6(2.4+0.2y)+8y=-4 | | x/4+2x/3=33/12 | | x^2-7x-4/2x^2+7x+3 | | 3(5x+2)-26=13x-2 | | 31+4t-(t)=40 | | 30a^2-87a-63= | | 3p^2-6p-19=0 | | 8x^2y+10xy^2=0 | | 26=3b-(2)-(7b) | | z^2+z-72= | | 16=2(2w+w(-1)) | | -2.8125=5/4*-6.25+5 | | 27+12*75=1x | | t^2+8t-8084=2446096 | | -0.8x+3.55=-0.4x+2.35 | | 6x+8y=-4 | | Y=8x^2y+10xy^2 | | 9+3y-(2y)=14 | | y/3=y/6+1/2 | | x^2=81/16 | | -7x+(-2)=-2 | | (7+y)(5y+6)=0 | | 0.48(6)+0.08x=0.24(18+x) | | -(1+13*3)=1x | | 2/9-k/4=7/36 | | 7x+2=-2 | | 10x=3x+35 |

Equations solver categories