(x-8)(x-7)=6

Simple and best practice solution for (x-8)(x-7)=6 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 (x-8)(x-7)=6 equation: 


Simplifying
(x + -8)(x + -7) = 6

Reorder the terms:
(-8 + x)(x + -7) = 6

Reorder the terms:
(-8 + x)(-7 + x) = 6

Multiply (-8 + x) * (-7 + x)
(-8(-7 + x) + x(-7 + x)) = 6
((-7 * -8 + x * -8) + x(-7 + x)) = 6
((56 + -8x) + x(-7 + x)) = 6
(56 + -8x + (-7 * x + x * x)) = 6
(56 + -8x + (-7x + x2)) = 6

Combine like terms: -8x + -7x = -15x
(56 + -15x + x2) = 6

Solving
56 + -15x + x2 = 6

Solving for variable 'x'.

Reorder the terms:
56 + -6 + -15x + x2 = 6 + -6

Combine like terms: 56 + -6 = 50
50 + -15x + x2 = 6 + -6

Combine like terms: 6 + -6 = 0
50 + -15x + x2 = 0

Factor a trinomial.
(5 + -1x)(10 + -1x) = 0


Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {5, 10}

See similar equations:

| 4x-2x+9=20-6x+3 | | 10b^2+42b+36=0 | | 4z=60 | | 8y=-24+40 | | 7.37=6.28r | | -18y=36 | | 11-n=9 | | -5c+24=-1 | | -5x^2-3x=4 | | -5x^2-3x=0 | | 103=4+3(4a+5) | | 12+5y=-18 | | 10x^2=-3x | | z=y-3xy | | 5-7x=-3x-11 | | 8x^2-24x-432=0 | | 3(x-4)+2(x+7)= | | X=190t-16x^2 | | 3x-5x+7=16-x+9 | | -7(1-6n)+7(7-8n)=-28 | | 7a+32=a+2 | | -2x+11=3(x-5)+8x | | 3+15p-25=-127 | | 5(x+7)=4x-20 | | 3x+20=7x+4 | | 5(x-7)=4x-20 | | 3y-4=-9y | | (x-9)(x-3)=7 | | 3-5x=2x-11 | | (r-3)(r+2)=0 | | 8(x-5)(2x+3)(7x+14)=0 | | 8(1+7r)+2(1+8r)=-62 |

Equations solver categories