3x(x+5)=60

Simple and best practice solution for 3x(x+5)=60 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+5)=60 equation: 


Simplifying
3x(x + 5) = 60

Reorder the terms:
3x(5 + x) = 60
(5 * 3x + x * 3x) = 60
(15x + 3x2) = 60

Solving
15x + 3x2 = 60

Solving for variable 'x'.

Reorder the terms:
-60 + 15x + 3x2 = 60 + -60

Combine like terms: 60 + -60 = 0
-60 + 15x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-20 + 5x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-20 + 5x + x2)' equal to zero and attempt to solve:

Simplifying
-20 + 5x + x2 = 0

Solving
-20 + 5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '20' to each side of the equation.
-20 + 5x + 20 + x2 = 0 + 20

Reorder the terms:
-20 + 20 + 5x + x2 = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 5x + x2 = 0 + 20
5x + x2 = 0 + 20

Combine like terms: 0 + 20 = 20
5x + x2 = 20

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = 20 + 6.25

Reorder the terms:
6.25 + 5x + x2 = 20 + 6.25

Combine like terms: 20 + 6.25 = 26.25
6.25 + 5x + x2 = 26.25

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 26.25

Calculate the square root of the right side: 5.123475383

Break this problem into two subproblems by setting 
(x + 2.5) equal to 5.123475383 and -5.123475383.


Subproblem 1
x + 2.5 = 5.123475383

Simplifying
x + 2.5 = 5.123475383

Reorder the terms:
2.5 + x = 5.123475383

Solving
2.5 + x = 5.123475383

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = 5.123475383 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 5.123475383 + -2.5
x = 5.123475383 + -2.5

Combine like terms: 5.123475383 + -2.5 = 2.623475383
x = 2.623475383

Simplifying
x = 2.623475383


Subproblem 2
x + 2.5 = -5.123475383

Simplifying
x + 2.5 = -5.123475383

Reorder the terms:
2.5 + x = -5.123475383

Solving
2.5 + x = -5.123475383

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = -5.123475383 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = -5.123475383 + -2.5
x = -5.123475383 + -2.5

Combine like terms: -5.123475383 + -2.5 = -7.623475383
x = -7.623475383

Simplifying
x = -7.623475383


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.623475383, -7.623475383}
Solution
x = {2.623475383, -7.623475383}

See similar equations:

| y=0.2139x+15.48 | | 3x(x+15)=60 | | 27+5/16=q | | 90(x+9/18) | | 3/2x-2+2/x-2=8/(x+2)(x-2) | | (3x-4)(x-4)=-5 | | 4s+8= | | 3x-(x-1)=19 | | 3x^2-16x+11=0 | | 138-3x=24x+15 | | -3(z+5)+29=-1 | | 8y-3=3+8y | | 0.1t+72.9=79.5 | | -8+6=a/3 | | 2(3m-8)-5(35-2m)=1 | | (x+1/9)=(3)-(x+1/2) | | 2(y-2)-1=3(y-3) | | 5n+16-7n= | | 2k-23-11k=-17 | | 8*8+9(12/3*2)-7 | | 0.27(12)+0.03x=0.09(18+x) | | 9x+3x+3-1=13x+6-4-2x | | 5n+16+7n= | | 11y+14-7y=-30 | | 2x^2+px+1=0 | | 2x+16=-2(-x-8) | | 7t+1/3=t+9/6+t-7/6 | | 5x-7=5(x+4) | | 27-2x=2(x*1) | | (x/3)=4+(x-30/5) | | (3x-4)2-(5x-2)(5x+2)+20=0 | | .4x+.42=1-.57x |

Equations solver categories