(x-7)(x-8)=2

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


Simplifying
(x + -7)(x + -8) = 2

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

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

Multiply (-7 + x) * (-8 + x)
(-7(-8 + x) + x(-8 + x)) = 2
((-8 * -7 + x * -7) + x(-8 + x)) = 2
((56 + -7x) + x(-8 + x)) = 2
(56 + -7x + (-8 * x + x * x)) = 2
(56 + -7x + (-8x + x2)) = 2

Combine like terms: -7x + -8x = -15x
(56 + -15x + x2) = 2

Solving
56 + -15x + x2 = 2

Solving for variable 'x'.

Reorder the terms:
56 + -2 + -15x + x2 = 2 + -2

Combine like terms: 56 + -2 = 54
54 + -15x + x2 = 2 + -2

Combine like terms: 2 + -2 = 0
54 + -15x + x2 = 0

Factor a trinomial.
(6 + -1x)(9 + -1x) = 0

Subproblem 1

Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6

Subproblem 2

Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Solution

x = {6, 9}

See similar equations:

| 7d+13=d+7 | | 750-50.00t=-185+35.00t | | (x^2)+4x-32=0 | | 1/9y-10=2/9 | | 22x-23x+2=0 | | 5z-4=-2+6z | | -185.00+35.00t=0 | | 8n-16=-6+3n | | 6x-3y-9=0 | | -2/3x6 | | -1/3m-4=2 | | -85.00+35.00t=0 | | 20x+6y=29 | | 2c-r=m | | 8h+h^2+14=0 | | 15x-6y=20 | | 1.6-x=-2.7 | | 9x^2-36y^2+4z^2=36 | | 2/7y=1/14-5/2y | | -4(3y+2)-16=-6(y+5)+3y | | 229x/4=70 | | -0.7x=49 | | 229x/4 | | 0.02(6t-3)=0.12(t-2)+18 | | 7.21=ln(6x) | | 30x^2+x-30=0 | | 2/9y-4=2/3 | | 40x+12x=529 | | 0.5(x+100)=0.54x-262 | | (b+1)(b-2)(b+3)= | | 914=4y+130 | | 8m-12=28 |

Equations solver categories