2x(x-7)=8

Simple and best practice solution for 2x(x-7)=8 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(x-7)=8 equation: 


Simplifying
2x(x + -7) = 8

Reorder the terms:
2x(-7 + x) = 8
(-7 * 2x + x * 2x) = 8
(-14x + 2x2) = 8

Solving
-14x + 2x2 = 8

Solving for variable 'x'.

Reorder the terms:
-8 + -14x + 2x2 = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + -14x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + -7x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-4 + -7x + x2)' equal to zero and attempt to solve:

Simplifying
-4 + -7x + x2 = 0

Solving
-4 + -7x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '4' to each side of the equation.
-4 + -7x + 4 + x2 = 0 + 4

Reorder the terms:
-4 + 4 + -7x + x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -7x + x2 = 0 + 4
-7x + x2 = 0 + 4

Combine like terms: 0 + 4 = 4
-7x + x2 = 4

The x term is -7x.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7x + 12.25 + x2 = 4 + 12.25

Reorder the terms:
12.25 + -7x + x2 = 4 + 12.25

Combine like terms: 4 + 12.25 = 16.25
12.25 + -7x + x2 = 16.25

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = 16.25

Calculate the square root of the right side: 4.031128874

Break this problem into two subproblems by setting 
(x + -3.5) equal to 4.031128874 and -4.031128874.


Subproblem 1
x + -3.5 = 4.031128874

Simplifying
x + -3.5 = 4.031128874

Reorder the terms:
-3.5 + x = 4.031128874

Solving
-3.5 + x = 4.031128874

Solving for variable 'x'.

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

Add '3.5' to each side of the equation.
-3.5 + 3.5 + x = 4.031128874 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + x = 4.031128874 + 3.5
x = 4.031128874 + 3.5

Combine like terms: 4.031128874 + 3.5 = 7.531128874
x = 7.531128874

Simplifying
x = 7.531128874


Subproblem 2
x + -3.5 = -4.031128874

Simplifying
x + -3.5 = -4.031128874

Reorder the terms:
-3.5 + x = -4.031128874

Solving
-3.5 + x = -4.031128874

Solving for variable 'x'.

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

Add '3.5' to each side of the equation.
-3.5 + 3.5 + x = -4.031128874 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + x = -4.031128874 + 3.5
x = -4.031128874 + 3.5

Combine like terms: -4.031128874 + 3.5 = -0.531128874
x = -0.531128874

Simplifying
x = -0.531128874


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {7.531128874, -0.531128874}
Solution
x = {7.531128874, -0.531128874}

See similar equations:

| 24/m=4 | | 10x^3+3x^2-12=0 | | 4(x-3y+2y)-2(x+y)+y= | | -324=-12v | | n+16=-5 | | -7.5ln(-6x+5)-10.5=-12 | | 3(y-11)-5=7 | | x^2=-18x+15 | | (4pq)(-p^2q^3)=4p^3q^4 | | 3(2x+y)-2(x+y)+3x= | | (4pq)(-p^2q^2)=4p^3q^4 | | 2x=6+4y | | 3a-c=11 | | P-48=40 | | 12/m=18/9 | | -2(7x-6y)+3(2x+5y)= | | 4m-4=4m+12 | | -9x-8y=22 | | 10(2x-2y)-8(2x+2y)= | | (20w)+w(30+w)=5000 | | 2a+3a-5a-3= | | -4(b-19)+11=19 | | 2x+2y=-20 | | N-76=-20 | | 86=79+a | | 2x^2-7x+3=12 | | 9(-3x+5y)-7(x+6y)= | | -4/5=5/3x-3/7 | | 59=7x+3 | | X=.5(3x+1) | | -46=8-2x | | 4x^2-30x+54= |

Equations solver categories