(3x+40)(x)=440

Simple and best practice solution for (3x+40)(x)=440 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+40)(x)=440 equation: 


Simplifying
(3x + 40)(x) = 440

Reorder the terms:
(40 + 3x)(x) = 440

Reorder the terms for easier multiplication:
x(40 + 3x) = 440
(40 * x + 3x * x) = 440
(40x + 3x2) = 440

Solving
40x + 3x2 = 440

Solving for variable 'x'.

Reorder the terms:
-440 + 40x + 3x2 = 440 + -440

Combine like terms: 440 + -440 = 0
-440 + 40x + 3x2 = 0

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

Divide each side by '3'.
-146.6666667 + 13.33333333x + x2 = 0

Move the constant term to the right:

Add '146.6666667' to each side of the equation.
-146.6666667 + 13.33333333x + 146.6666667 + x2 = 0 + 146.6666667

Reorder the terms:
-146.6666667 + 146.6666667 + 13.33333333x + x2 = 0 + 146.6666667

Combine like terms: -146.6666667 + 146.6666667 = 0.0000000
0.0000000 + 13.33333333x + x2 = 0 + 146.6666667
13.33333333x + x2 = 0 + 146.6666667

Combine like terms: 0 + 146.6666667 = 146.6666667
13.33333333x + x2 = 146.6666667

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 = 146.6666667 + 44.44444442

Reorder the terms:
44.44444442 + 13.33333333x + x2 = 146.6666667 + 44.44444442

Combine like terms: 146.6666667 + 44.44444442 = 191.11111112
44.44444442 + 13.33333333x + x2 = 191.11111112

Factor a perfect square on the left side:
(x + 6.666666665)(x + 6.666666665) = 191.11111112

Calculate the square root of the right side: 13.824294236

Break this problem into two subproblems by setting 
(x + 6.666666665) equal to 13.824294236 and -13.824294236.


Subproblem 1
x + 6.666666665 = 13.824294236

Simplifying
x + 6.666666665 = 13.824294236

Reorder the terms:
6.666666665 + x = 13.824294236

Solving
6.666666665 + x = 13.824294236

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 = 13.824294236 + -6.666666665

Combine like terms: 6.666666665 + -6.666666665 = 0.000000000
0.000000000 + x = 13.824294236 + -6.666666665
x = 13.824294236 + -6.666666665

Combine like terms: 13.824294236 + -6.666666665 = 7.157627571
x = 7.157627571

Simplifying
x = 7.157627571


Subproblem 2
x + 6.666666665 = -13.824294236

Simplifying
x + 6.666666665 = -13.824294236

Reorder the terms:
6.666666665 + x = -13.824294236

Solving
6.666666665 + x = -13.824294236

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 = -13.824294236 + -6.666666665

Combine like terms: 6.666666665 + -6.666666665 = 0.000000000
0.000000000 + x = -13.824294236 + -6.666666665
x = -13.824294236 + -6.666666665

Combine like terms: -13.824294236 + -6.666666665 = -20.490960901
x = -20.490960901

Simplifying
x = -20.490960901


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {7.157627571, -20.490960901}

See similar equations:

| 5z+18=108-10y | | 90-30x^2/18-6x | | 9=-2/3k-11 | | 40+n=10(n*4) | | -2-5=-27 | | -4(8m-6)=8m-16 | | 3(4+5)=12 | | 20+3x=31 | | y=14x^2 | | 10+4=4 | | cos(x-40)=y | | x-11-8=19/22 | | -x=40+4x | | -2=4n-4n | | cos(x-40)= | | -p+q+2r= | | 6x(y-x)= | | 39-n=8(n+6) | | -4n^2+5n+3=-6 | | 2x-2=30+4x | | (16-13X)-(10x-11)=0 | | p+q+2r= | | -10x-7+2x=-5-8x-2 | | 6y-24x=-6 | | y+4y=15 | | 2sin=-1 | | (1+2i)x^2-(3+i)x+(2-i)=0 | | 7/9*(-5/8) | | 2k+19=4k | | 8v-2v=24 | | -38+5a=6(6a+4) | | (3x+1)+(2x-5)=0 |

Equations solver categories