(x-8)(x-2)=-9

Simple and best practice solution for (x-8)(x-2)=-9 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-2)=-9 equation:


Simplifying
(x + -8)(x + -2) = -9

Reorder the terms:
(-8 + x)(x + -2) = -9

Reorder the terms:
(-8 + x)(-2 + x) = -9

Multiply (-8 + x) * (-2 + x)
(-8(-2 + x) + x(-2 + x)) = -9
((-2 * -8 + x * -8) + x(-2 + x)) = -9
((16 + -8x) + x(-2 + x)) = -9
(16 + -8x + (-2 * x + x * x)) = -9
(16 + -8x + (-2x + x2)) = -9

Combine like terms: -8x + -2x = -10x
(16 + -10x + x2) = -9

Solving
16 + -10x + x2 = -9

Solving for variable 'x'.

Reorder the terms:
16 + 9 + -10x + x2 = -9 + 9

Combine like terms: 16 + 9 = 25
25 + -10x + x2 = -9 + 9

Combine like terms: -9 + 9 = 0
25 + -10x + x2 = 0

Factor a trinomial.
(5 + -1x)(5 + -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 '(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

Solution

x = {5, 5}

See similar equations:

| 3k(k+7)=(k-2)(k-2) | | 2x-9x+11=32 | | -4(-4p-5)=2[-2p-3(-p+1)] | | 5x-23+x+29+90=180 | | 2x^2-25x-4=0 | | 15=-12+9x | | 180-108=x | | y=-2x-8x+5 | | x-180=0 | | .77x=28 | | -3x-6y-12=0 | | 18-1x=-7x+30 | | 2x+y=14-3x | | -3n(n^2+2n)= | | 4w+5w+1w= | | x(x+1)(x+2)(x+3)=360 | | 0.333y-0.5=0.1666y | | 4(2x-3)+1=9 | | 3.25=4.3r+16-r | | 2y-6=2x-6 | | ln(x)=.71 | | 6(x-6)+14=6x-21 | | 2(x+4)+2(x-2)=3x+12 | | 6y-8x=12 | | -8m-5m=13 | | 18x-4x=7 | | -4(x-10)=34 | | -3x+3=6x-9 | | 6.5?4x= | | -12a=36 | | 108=-6x+8(4x+7) | | -3(c-2)-4=5-(c-1) |

Equations solver categories