3x*(x+8)=90

Simple and best practice solution for 3x*(x+8)=90 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+8)=90 equation: 


Simplifying
3x(x + 8) = 90

Reorder the terms:
3x(8 + x) = 90
(8 * 3x + x * 3x) = 90
(24x + 3x2) = 90

Solving
24x + 3x2 = 90

Solving for variable 'x'.

Reorder the terms:
-90 + 24x + 3x2 = 90 + -90

Combine like terms: 90 + -90 = 0
-90 + 24x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-30 + 8x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-30 + 8x + x2)' equal to zero and attempt to solve:

Simplifying
-30 + 8x + x2 = 0

Solving
-30 + 8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '30' to each side of the equation.
-30 + 8x + 30 + x2 = 0 + 30

Reorder the terms:
-30 + 30 + 8x + x2 = 0 + 30

Combine like terms: -30 + 30 = 0
0 + 8x + x2 = 0 + 30
8x + x2 = 0 + 30

Combine like terms: 0 + 30 = 30
8x + x2 = 30

The x term is 8x.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8x + 16 + x2 = 30 + 16

Reorder the terms:
16 + 8x + x2 = 30 + 16

Combine like terms: 30 + 16 = 46
16 + 8x + x2 = 46

Factor a perfect square on the left side:
(x + 4)(x + 4) = 46

Calculate the square root of the right side: 6.782329983

Break this problem into two subproblems by setting 
(x + 4) equal to 6.782329983 and -6.782329983.


Subproblem 1
x + 4 = 6.782329983

Simplifying
x + 4 = 6.782329983

Reorder the terms:
4 + x = 6.782329983

Solving
4 + x = 6.782329983

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + x = 6.782329983 + -4

Combine like terms: 4 + -4 = 0
0 + x = 6.782329983 + -4
x = 6.782329983 + -4

Combine like terms: 6.782329983 + -4 = 2.782329983
x = 2.782329983

Simplifying
x = 2.782329983


Subproblem 2
x + 4 = -6.782329983

Simplifying
x + 4 = -6.782329983

Reorder the terms:
4 + x = -6.782329983

Solving
4 + x = -6.782329983

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + x = -6.782329983 + -4

Combine like terms: 4 + -4 = 0
0 + x = -6.782329983 + -4
x = -6.782329983 + -4

Combine like terms: -6.782329983 + -4 = -10.782329983
x = -10.782329983

Simplifying
x = -10.782329983


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.782329983, -10.782329983}
Solution
x = {2.782329983, -10.782329983}

See similar equations:

| (2x+5)+(3x-23)=360 | | -4(2-x)=.8(x+10) | | 3y+4=8y | | 4x+1-x=-17 | | 7x/5-28 | | .1(x+36)=-2(2-x) | | 68=1.7x | | 6-9x-4=-38+4x-12 | | 6-9x-4=38+4x-12 | | 4(a+3)=-5 | | 3(2x+4e)=4(3x+2e) | | .1(x+36)=2(2-x) | | (X-3)(3x^3-8x^2+2x-7)=0 | | 3xy-x/x | | -5.2(4s+6)-2.8(2s-5)= | | 7x+4y=38 | | 1.5x+4=11.5 | | 3v-9=7+2v+v | | -sin^2x-3sinx-1=0 | | R=s+t | | xsquard-14+24=0 | | 40x=30(x-2) | | 8x+15=4x+3 | | x-33=4(2x+3)-3 | | 15=L(8-L) | | 8x+3y=47 | | 9(4x+6)+9(9-x)=45x+135 | | x^4+3x^3-10x=0 | | 3z/7=-13 | | x+2.29=-5.73 | | (3+2i)(4-3i)= | | 3z/7=13 |

Equations solver categories