(x+3)x=30

Simple and best practice solution for (x+3)x=30 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=30 equation: 


Simplifying
(x + 3) * x = 30

Reorder the terms:
(3 + x) * x = 30

Reorder the terms for easier multiplication:
x(3 + x) = 30
(3 * x + x * x) = 30
(3x + x2) = 30

Solving
3x + x2 = 30

Solving for variable 'x'.

Reorder the terms:
-30 + 3x + x2 = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + 3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '30' to each side of the equation.
-30 + 3x + 30 + x2 = 0 + 30

Reorder the terms:
-30 + 30 + 3x + x2 = 0 + 30

Combine like terms: -30 + 30 = 0
0 + 3x + x2 = 0 + 30
3x + x2 = 0 + 30

Combine like terms: 0 + 30 = 30
3x + x2 = 30

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 = 30 + 2.25

Reorder the terms:
2.25 + 3x + x2 = 30 + 2.25

Combine like terms: 30 + 2.25 = 32.25
2.25 + 3x + x2 = 32.25

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = 32.25

Calculate the square root of the right side: 5.678908346

Break this problem into two subproblems by setting 
(x + 1.5) equal to 5.678908346 and -5.678908346.


Subproblem 1
x + 1.5 = 5.678908346

Simplifying
x + 1.5 = 5.678908346

Reorder the terms:
1.5 + x = 5.678908346

Solving
1.5 + x = 5.678908346

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 = 5.678908346 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = 5.678908346 + -1.5
x = 5.678908346 + -1.5

Combine like terms: 5.678908346 + -1.5 = 4.178908346
x = 4.178908346

Simplifying
x = 4.178908346


Subproblem 2
x + 1.5 = -5.678908346

Simplifying
x + 1.5 = -5.678908346

Reorder the terms:
1.5 + x = -5.678908346

Solving
1.5 + x = -5.678908346

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 = -5.678908346 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = -5.678908346 + -1.5
x = -5.678908346 + -1.5

Combine like terms: -5.678908346 + -1.5 = -7.178908346
x = -7.178908346

Simplifying
x = -7.178908346


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.178908346, -7.178908346}

See similar equations:

| 2y-15=6y-18 | | 13y=180 | | 4.2x^2-12.6x+8.4=x^2 | | x=2(6x-9) | | 2.025=x/(2.00-x) | | 1.95=x/(2.00-x) | | mx^2+x-m=-1 | | 4x+2xy=11 | | 2z-12=z+2 | | x-20+y=90 | | x^2-36/42x-7x^2 | | (x-3)/(-12)=0 | | k/11=3/(k-8) | | k/11=3/k-8 | | 3x-4a=ax+3 | | 5(3y-1)-3*(2y)=19 | | 3x+4x+5x=11x | | 50(x-200)=100 | | 26x+48y= | | 49v^2+56v+16= | | -5a+5+6a=6-20 | | 4x^4+5x^2+2x+3=0 | | X+x-12=24 | | 9.86=(2*x^2)/2 | | 9.86=(2*x^2)2 | | (X^2)^3(x^3)-^2/x^10 | | (3/7)^-2 | | 3x+4x-10=256 | | -1/2*49 | | -34=-6x+2 | | 8x+3=277 | | -19+6X=5(4-X) |

Equations solver categories