(q-8)(q-2)=

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


Simplifying
(q + -8)(q + -2) = 0

Reorder the terms:
(-8 + q)(q + -2) = 0

Reorder the terms:
(-8 + q)(-2 + q) = 0

Multiply (-8 + q) * (-2 + q)
(-8(-2 + q) + q(-2 + q)) = 0
((-2 * -8 + q * -8) + q(-2 + q)) = 0
((16 + -8q) + q(-2 + q)) = 0
(16 + -8q + (-2 * q + q * q)) = 0
(16 + -8q + (-2q + q2)) = 0

Combine like terms: -8q + -2q = -10q
(16 + -10q + q2) = 0

Solving
16 + -10q + q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(2 + -1q)(8 + -1q) = 0


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

Simplifying
2 + -1q = 0

Solving
2 + -1q = 0

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

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

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

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

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

Simplifying
q = 2

Subproblem 2
Set the factor '(8 + -1q)' equal to zero and attempt to solve:

Simplifying
8 + -1q = 0

Solving
8 + -1q = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1q = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1q = 0 + -8
-1q = 0 + -8

Combine like terms: 0 + -8 = -8
-1q = -8

Divide each side by '-1'.
q = 8

Simplifying
q = 8
Solution
q = {2, 8}

See similar equations:

| 9x+19+45+5x=180 | | -8(0.1x+0.3)-1.2=-0.4 | | x=.5*32x^2+24x+60 | | -8+3x=-12+6x | | 10x-18=9x+6 | | 4+30x=20x+10 | | 27=105x-54y | | 6x-9=6(x+1) | | 27+54y=105x | | 12x^3-6x^2+18x=0 | | 2x+1=1+2x | | 4x+12=-12-x | | k+24=4k | | n=4+7n(54+n) | | r-5=0 | | ln(x)=ln(x-8)+ln(2) | | 2x+1+2x+1+3x+2=18 | | (4z+7)(4z-7)= | | 2(2a-b)-5(4b-6a)= | | 7b=4-b | | b-10=-15 | | 32-2x=14-8x | | n=322(4+n) | | x+11=10x-2(4x+22) | | -3=-2.5r | | x/3-x+6/11=3 | | 2(x-4)+3(x+1)=45 | | 7ln(x-7)+6=7 | | (2x+1)=169 | | 2x+90+8x=180 | | 3+11x=-57+x | | 3(m+n)+4(2m-3)+2(5-n)= |

Equations solver categories