4x(3x+40)=360

Simple and best practice solution for 4x(3x+40)=360 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 4x(3x+40)=360 equation: 


Simplifying
4x(3x + 40) = 360

Reorder the terms:
4x(40 + 3x) = 360
(40 * 4x + 3x * 4x) = 360
(160x + 12x2) = 360

Solving
160x + 12x2 = 360

Solving for variable 'x'.

Reorder the terms:
-360 + 160x + 12x2 = 360 + -360

Combine like terms: 360 + -360 = 0
-360 + 160x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-90 + 40x + 3x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-90 + 40x + 3x2)' equal to zero and attempt to solve:

Simplifying
-90 + 40x + 3x2 = 0

Solving
-90 + 40x + 3x2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
-30 + 13.33333333x + x2 = 0

Move the constant term to the right:

Add '30' to each side of the equation.
-30 + 13.33333333x + 30 + x2 = 0 + 30

Reorder the terms:
-30 + 30 + 13.33333333x + x2 = 0 + 30

Combine like terms: -30 + 30 = 0
0 + 13.33333333x + x2 = 0 + 30
13.33333333x + x2 = 0 + 30

Combine like terms: 0 + 30 = 30
13.33333333x + x2 = 30

The x term is 13.33333333x.  Take half its coefficient (6.666666665).
Square it (44.44444442) and add it to both sides.

Add '44.44444442' to each side of the equation.
13.33333333x + 44.44444442 + x2 = 30 + 44.44444442

Reorder the terms:
44.44444442 + 13.33333333x + x2 = 30 + 44.44444442

Combine like terms: 30 + 44.44444442 = 74.44444442
44.44444442 + 13.33333333x + x2 = 74.44444442

Factor a perfect square on the left side:
(x + 6.666666665)(x + 6.666666665) = 74.44444442

Calculate the square root of the right side: 8.628119402

Break this problem into two subproblems by setting 
(x + 6.666666665) equal to 8.628119402 and -8.628119402.


Subproblem 1
x + 6.666666665 = 8.628119402

Simplifying
x + 6.666666665 = 8.628119402

Reorder the terms:
6.666666665 + x = 8.628119402

Solving
6.666666665 + x = 8.628119402

Solving for variable 'x'.

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

Add '-6.666666665' to each side of the equation.
6.666666665 + -6.666666665 + x = 8.628119402 + -6.666666665

Combine like terms: 6.666666665 + -6.666666665 = 0.000000000
0.000000000 + x = 8.628119402 + -6.666666665
x = 8.628119402 + -6.666666665

Combine like terms: 8.628119402 + -6.666666665 = 1.961452737
x = 1.961452737

Simplifying
x = 1.961452737


Subproblem 2
x + 6.666666665 = -8.628119402

Simplifying
x + 6.666666665 = -8.628119402

Reorder the terms:
6.666666665 + x = -8.628119402

Solving
6.666666665 + x = -8.628119402

Solving for variable 'x'.

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

Add '-6.666666665' to each side of the equation.
6.666666665 + -6.666666665 + x = -8.628119402 + -6.666666665

Combine like terms: 6.666666665 + -6.666666665 = 0.000000000
0.000000000 + x = -8.628119402 + -6.666666665
x = -8.628119402 + -6.666666665

Combine like terms: -8.628119402 + -6.666666665 = -15.294786067
x = -15.294786067

Simplifying
x = -15.294786067


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.961452737, -15.294786067}
Solution
x = {1.961452737, -15.294786067}

See similar equations:

| A+5b=4ba | | d=12h(a-b) | | 5-5n+3n=11-36 | | 6-8=0 | | 2a-7+5=-2+2a | | -56+3y+6=2(4y-5)-5 | | 1+2n+8=14+2n | | for-14+6b+7-2b=1+5b | | 3n-3-5n=3n-3 | | 19-(x+8)=6x-3 | | 37-7n=-8n+4(1-8n) | | -43+13y+4=4(5y-3)-6 | | 1/2(2x=4)=-10 | | y=-9+2(8) | | 3x+3iy=3+4i | | 5-4n(n+2)=18 | | 400+.20c=500+.15C | | -5x(4x^2-7x+9)= | | -(5x+6)-x=-8-6x | | 7/1/2 | | 6(x-9)+5=6x+2 | | -2y=-4x+18 | | 2(h+1)=5n-7 | | X/6=11/6 | | 6x-(5x+6)=2x-31 | | 11000-268(8)=8262 | | 7-13+4= | | 3/y=1/6 | | d+4=d-4 | | S^2-13x-30=0 | | 3.2=2.5(3d+5)+3(2d+5) | | -8+4=-8-4 |

Equations solver categories