(3x-8)(3x-8)=49

Simple and best practice solution for (3x-8)(3x-8)=49 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-8)(3x-8)=49 equation: 


Simplifying
(3x + -8)(3x + -8) = 49

Reorder the terms:
(-8 + 3x)(3x + -8) = 49

Reorder the terms:
(-8 + 3x)(-8 + 3x) = 49

Multiply (-8 + 3x) * (-8 + 3x)
(-8(-8 + 3x) + 3x * (-8 + 3x)) = 49
((-8 * -8 + 3x * -8) + 3x * (-8 + 3x)) = 49
((64 + -24x) + 3x * (-8 + 3x)) = 49
(64 + -24x + (-8 * 3x + 3x * 3x)) = 49
(64 + -24x + (-24x + 9x2)) = 49

Combine like terms: -24x + -24x = -48x
(64 + -48x + 9x2) = 49

Solving
64 + -48x + 9x2 = 49

Solving for variable 'x'.

Reorder the terms:
64 + -49 + -48x + 9x2 = 49 + -49

Combine like terms: 64 + -49 = 15
15 + -48x + 9x2 = 49 + -49

Combine like terms: 49 + -49 = 0
15 + -48x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + -16x + 3x2) = 0

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

Ignore the factor 3.

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

Simplifying
1 + -3x = 0

Solving
1 + -3x = 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 + -3x = 0 + -1

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

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

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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 = {0.3333333333, 5}

See similar equations:

| 7x-57+6x+34=159 | | 5(x-1)=3x+59 | | 3c+1-4=13 | | 3/4k-6=-1 | | 19a-3(x+1)=25 | | 1/2x-8=0 | | 13=tover-7 | | 10-6y=10+6y | | 3x-15+2x+30=80 | | 58=n+3(1+4n) | | -1/2b=11 | | 4.5(x-2)=-0.5x+21 | | -6u+15=3x | | 8m^2+40m=0 | | 9x-91+6x+76=180 | | 2r+3+9r=21 | | 4.5(x-2)=0.5x+21 | | 15s^2-20s=0 | | 5x-7=2(3x-1) | | 350=-700 | | 3x+2x-5=x+15 | | -8x/-2 | | x/3+2m=19 | | y=0.25x^2+0.5x+1 | | 3(7)-3x=12 | | -8+16z/-8 | | 5x+138=2x+120 | | 4x+52=6x+14 | | 1/2x-6y=10 | | x+4y+10=0 | | 4x+12=5(2x+6) | | 6x+5(2x+7)=9x+5 |

Equations solver categories