3x(x-4)-2(x-8)=1

Simple and best practice solution for 3x(x-4)-2(x-8)=1 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 3x(x-4)-2(x-8)=1 equation:


Simplifying
3x(x + -4) + -2(x + -8) = 1

Reorder the terms:
3x(-4 + x) + -2(x + -8) = 1
(-4 * 3x + x * 3x) + -2(x + -8) = 1
(-12x + 3x2) + -2(x + -8) = 1

Reorder the terms:
-12x + 3x2 + -2(-8 + x) = 1
-12x + 3x2 + (-8 * -2 + x * -2) = 1
-12x + 3x2 + (16 + -2x) = 1

Reorder the terms:
16 + -12x + -2x + 3x2 = 1

Combine like terms: -12x + -2x = -14x
16 + -14x + 3x2 = 1

Solving
16 + -14x + 3x2 = 1

Solving for variable 'x'.

Reorder the terms:
16 + -1 + -14x + 3x2 = 1 + -1

Combine like terms: 16 + -1 = 15
15 + -14x + 3x2 = 1 + -1

Combine like terms: 1 + -1 = 0
15 + -14x + 3x2 = 0

Factor a trinomial.
(5 + -3x)(3 + -1x) = 0


Subproblem 1
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 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 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {1.666666667, 3}

See similar equations:

| (12/a)-(12/b)=12 | | h+1=-7 | | -6x-29=5x-5 | | r/2.6-4.3=9.1 | | -40+12=-32+4 | | -5(t-5)+8t=7t-9 | | 4(x+2)+7=2x+2(5+x) | | 7(3x-4)+4(11-2x)=4(3x+3)-2 | | 589663x+57= | | 100=75+25 | | (6x+5)-(3+5x)=9 | | 38x+25=6(6x+4)+2x+1 | | 1x+8=10+4 | | 12t+6-4t=22 | | -1.9b=-12 | | -4(5t-3)+8t=5t-7 | | 8(2+3q)=60 | | 7f+3-4f+2=11f+5 | | -2(4t-2)+6t=5t-6 | | 2x+2(3x+5)=10 | | 2-3x=(-x)-8 | | 8x-8=(x+6) | | 2x-4=27 | | x^3+17=0 | | x^3+54=0 | | 2x/3-4=7 | | 27x^2=75x | | 4x/x-7 | | 9h-17=64 | | 1500=20+4s | | 17a+b=92 | | 441=42+7w |

Equations solver categories