(x-3)(x-5)-8=0

Simple and best practice solution for (x-3)(x-5)-8=0 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-3)(x-5)-8=0 equation: 


Simplifying
(x + -3)(x + -5) + -8 = 0

Reorder the terms:
(-3 + x)(x + -5) + -8 = 0

Reorder the terms:
(-3 + x)(-5 + x) + -8 = 0

Multiply (-3 + x) * (-5 + x)
(-3(-5 + x) + x(-5 + x)) + -8 = 0
((-5 * -3 + x * -3) + x(-5 + x)) + -8 = 0
((15 + -3x) + x(-5 + x)) + -8 = 0
(15 + -3x + (-5 * x + x * x)) + -8 = 0
(15 + -3x + (-5x + x2)) + -8 = 0

Combine like terms: -3x + -5x = -8x
(15 + -8x + x2) + -8 = 0

Reorder the terms:
15 + -8 + -8x + x2 = 0

Combine like terms: 15 + -8 = 7
7 + -8x + x2 = 0

Solving
7 + -8x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -1x)(7 + -1x) = 0


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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {1, 7}

See similar equations:

| -2+10=16x-3-15x | | 3e=9/4 | | 4x-29=2x+3 | | 0=-20+b | | x-15=-135 | | 13-10x=36-17x | | 5y-17y=-64-80 | | 12x-2(4x-5)=42 | | 5n+20=45 | | 0.50x+0.45(30)=25.5 | | -8y-7=4y+17 | | 6y-3=13+5(y-2) | | 8x+3=-8+6x+15 | | 6y-3=13 | | x^2+19-10=0 | | 7.44=2*3.14r | | -8(x-3)-29=-5 | | x/7-2=10 | | 4t-8=5(t-4) | | y^2-14y+38=0 | | 7=8(x+5)+5x | | -056=20-(-e) | | 20x-4=40x+1 | | 0.5(2n-3)-0.1=0.4(6+2n) | | 2v+x=wx | | 32-2(2w+1)=11w-2(11+w) | | 8(x-8)=9(4x-7) | | 27-11=4(x-6) | | 70-4x=5x+21 | | x+20+3x=-11-3x-18 | | 5x+20+4x=5x-20 | | 12a-15=a+1 |

Equations solver categories