3x(x+10)=99

Simple and best practice solution for 3x(x+10)=99 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+10)=99 equation: 


Simplifying
3x(x + 10) = 99

Reorder the terms:
3x(10 + x) = 99
(10 * 3x + x * 3x) = 99
(30x + 3x2) = 99

Solving
30x + 3x2 = 99

Solving for variable 'x'.

Reorder the terms:
-99 + 30x + 3x2 = 99 + -99

Combine like terms: 99 + -99 = 0
-99 + 30x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-33 + 10x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-33 + 10x + x2)' equal to zero and attempt to solve:

Simplifying
-33 + 10x + x2 = 0

Solving
-33 + 10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '33' to each side of the equation.
-33 + 10x + 33 + x2 = 0 + 33

Reorder the terms:
-33 + 33 + 10x + x2 = 0 + 33

Combine like terms: -33 + 33 = 0
0 + 10x + x2 = 0 + 33
10x + x2 = 0 + 33

Combine like terms: 0 + 33 = 33
10x + x2 = 33

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = 33 + 25

Reorder the terms:
25 + 10x + x2 = 33 + 25

Combine like terms: 33 + 25 = 58
25 + 10x + x2 = 58

Factor a perfect square on the left side:
(x + 5)(x + 5) = 58

Calculate the square root of the right side: 7.615773106

Break this problem into two subproblems by setting 
(x + 5) equal to 7.615773106 and -7.615773106.


Subproblem 1
x + 5 = 7.615773106

Simplifying
x + 5 = 7.615773106

Reorder the terms:
5 + x = 7.615773106

Solving
5 + x = 7.615773106

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + x = 7.615773106 + -5

Combine like terms: 5 + -5 = 0
0 + x = 7.615773106 + -5
x = 7.615773106 + -5

Combine like terms: 7.615773106 + -5 = 2.615773106
x = 2.615773106

Simplifying
x = 2.615773106


Subproblem 2
x + 5 = -7.615773106

Simplifying
x + 5 = -7.615773106

Reorder the terms:
5 + x = -7.615773106

Solving
5 + x = -7.615773106

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + x = -7.615773106 + -5

Combine like terms: 5 + -5 = 0
0 + x = -7.615773106 + -5
x = -7.615773106 + -5

Combine like terms: -7.615773106 + -5 = -12.615773106
x = -12.615773106

Simplifying
x = -12.615773106


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.615773106, -12.615773106}
Solution
x = {2.615773106, -12.615773106}

See similar equations:

| 9=n/13 | | (4x-11)-(-16x-17)= | | 4x^2+25y^2-100y=0 | | 3*(-1)+2*2-3x=-2 | | 3(t-4)=-2(t-3)+14 | | (X-4)(x+12)= | | 2x-21=x+4 | | x^2+17=19 | | 40x-18(x-3)=468 | | y+6.2=9.1 | | 63=c-21+2c | | 3/6=/8 | | 16+x=42 | | 3.29-0.223= | | 4t^2-20t-60=0 | | 2sin(30+x)=3cosx | | 2+p=2 | | 5n-6=7 | | ln(x)+ln(1.1675x)=5.28 | | 5x-6=93-6x | | 5t+4=11 | | -14=x/2 | | (3x-9)(2x-2)= | | 4.500+60v=50(100+v) | | 4(13-y)+2y=36 | | -42+14x=4y | | 3y+2x-7+12-6x+4y=56-45x+2y | | (c+2)=5(c+1)-7 | | n-3=1 | | -5v=-5 | | 32+(-16)+(-12)= | | 2(c+2)=5(x+1)-7 |

Equations solver categories