(x+3)(x)=8

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


Simplifying
(x + 3)(x) = 8

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

Reorder the terms for easier multiplication:
x(3 + x) = 8
(3 * x + x * x) = 8
(3x + x2) = 8

Solving
3x + x2 = 8

Solving for variable 'x'.

Reorder the terms:
-8 + 3x + x2 = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + 3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '8' to each side of the equation.
-8 + 3x + 8 + x2 = 0 + 8

Reorder the terms:
-8 + 8 + 3x + x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 3x + x2 = 0 + 8
3x + x2 = 0 + 8

Combine like terms: 0 + 8 = 8
3x + x2 = 8

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = 8 + 2.25

Reorder the terms:
2.25 + 3x + x2 = 8 + 2.25

Combine like terms: 8 + 2.25 = 10.25
2.25 + 3x + x2 = 10.25

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = 10.25

Calculate the square root of the right side: 3.201562119

Break this problem into two subproblems by setting 
(x + 1.5) equal to 3.201562119 and -3.201562119.

Subproblem 1

x + 1.5 = 3.201562119 Simplifying x + 1.5 = 3.201562119 Reorder the terms: 1.5 + x = 3.201562119 Solving 1.5 + x = 3.201562119 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = 3.201562119 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = 3.201562119 + -1.5 x = 3.201562119 + -1.5 Combine like terms: 3.201562119 + -1.5 = 1.701562119 x = 1.701562119 Simplifying x = 1.701562119

Subproblem 2

x + 1.5 = -3.201562119 Simplifying x + 1.5 = -3.201562119 Reorder the terms: 1.5 + x = -3.201562119 Solving 1.5 + x = -3.201562119 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = -3.201562119 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = -3.201562119 + -1.5 x = -3.201562119 + -1.5 Combine like terms: -3.201562119 + -1.5 = -4.701562119 x = -4.701562119 Simplifying x = -4.701562119

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.701562119, -4.701562119}

See similar equations:

| (3x)(x)=8 | | 10=-2y | | (2x+5)+(-3x+1)= | | 5(x-3)-7x=4(x-3)+9 | | -4M+2+6M-8=-2 | | 4x^2+1-4x=0 | | 9(3x-4)=72 | | 4y^2+24y+32=0 | | 1/3-7=-2 | | 9x=909 | | 9x+8=3x-10 | | a^2-b^2=100 | | 3x=303 | | x^3-5x^2+3x+1=0 | | -6x+y=10 | | 6x-24/16-x^2 | | -3/5x=12/15 | | 7x+15=2x+145 | | 3(x-2)=60 | | 5x-7=x+7 | | 300x=900 | | (m^7n)^-3/m^-3n^3 | | 2(x-1)=40 | | 14(x-4)=112 | | 5/62= | | f(x)=2.5ln(9) | | w^2-10+24=0 | | f(x)=19.9+2.5ln(8+1) | | 4n^2+25=20x | | 5v-19/-3=-7 | | 17-5+(2x-9)=-(-6x+10)+4 | | 5m+9n=d |

Equations solver categories