40(x)(5x+14)=180

Simple and best practice solution for 40(x)(5x+14)=180 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 40(x)(5x+14)=180 equation: 


Simplifying
40(x)(5x + 14) = 180

Reorder the terms:
40x(14 + 5x) = 180
(14 * 40x + 5x * 40x) = 180
(560x + 200x2) = 180

Solving
560x + 200x2 = 180

Solving for variable 'x'.

Reorder the terms:
-180 + 560x + 200x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-180 + 560x + 200x2 = 0

Factor out the Greatest Common Factor (GCF), '20'.
20(-9 + 28x + 10x2) = 0

Ignore the factor 20.

Subproblem 1
Set the factor '(-9 + 28x + 10x2)' equal to zero and attempt to solve:

Simplifying
-9 + 28x + 10x2 = 0

Solving
-9 + 28x + 10x2 = 0

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

Divide each side by '10'.
-0.9 + 2.8x + x2 = 0.0

Move the constant term to the right:

Add '0.9' to each side of the equation.
-0.9 + 2.8x + 0.9 + x2 = 0.0 + 0.9

Reorder the terms:
-0.9 + 0.9 + 2.8x + x2 = 0.0 + 0.9

Combine like terms: -0.9 + 0.9 = 0.0
0.0 + 2.8x + x2 = 0.0 + 0.9
2.8x + x2 = 0.0 + 0.9

Combine like terms: 0.0 + 0.9 = 0.9
2.8x + x2 = 0.9

The x term is 2.8x.  Take half its coefficient (1.4).
Square it (1.96) and add it to both sides.

Add '1.96' to each side of the equation.
2.8x + 1.96 + x2 = 0.9 + 1.96

Reorder the terms:
1.96 + 2.8x + x2 = 0.9 + 1.96

Combine like terms: 0.9 + 1.96 = 2.86
1.96 + 2.8x + x2 = 2.86

Factor a perfect square on the left side:
(x + 1.4)(x + 1.4) = 2.86

Calculate the square root of the right side: 1.691153453

Break this problem into two subproblems by setting 
(x + 1.4) equal to 1.691153453 and -1.691153453.


Subproblem 1
x + 1.4 = 1.691153453

Simplifying
x + 1.4 = 1.691153453

Reorder the terms:
1.4 + x = 1.691153453

Solving
1.4 + x = 1.691153453

Solving for variable 'x'.

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

Add '-1.4' to each side of the equation.
1.4 + -1.4 + x = 1.691153453 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + x = 1.691153453 + -1.4
x = 1.691153453 + -1.4

Combine like terms: 1.691153453 + -1.4 = 0.291153453
x = 0.291153453

Simplifying
x = 0.291153453


Subproblem 2
x + 1.4 = -1.691153453

Simplifying
x + 1.4 = -1.691153453

Reorder the terms:
1.4 + x = -1.691153453

Solving
1.4 + x = -1.691153453

Solving for variable 'x'.

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

Add '-1.4' to each side of the equation.
1.4 + -1.4 + x = -1.691153453 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + x = -1.691153453 + -1.4
x = -1.691153453 + -1.4

Combine like terms: -1.691153453 + -1.4 = -3.091153453
x = -3.091153453

Simplifying
x = -3.091153453


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.291153453, -3.091153453}
Solution
x = {0.291153453, -3.091153453}

See similar equations:

| 4x+3x-2x=32 | | -6x+19+8x+19=4 | | 40(x)(5x+14)=80 | | x^2+2bx+b^2-4c^2=0 | | 25.12=3.14*r^2 | | z(1)= | | 30x-28=12x+48 | | 4(2a+3b)+2(3a-3b)= | | 30(3x-10)x=180 | | 4x^2+200=44 | | 3(4y-4)-24=5(2y-2)+12 | | x^2+4x+41=0 | | 1y+4=5 | | 9x+17-7x+17=-4 | | 6x^2-19=11 | | 4(2a+3b)+2(3a+3b)= | | 5(4y+3)-4(y-5)=0 | | sqrt(4-3x)+sqrt(3x-9)=sqrt(3x-14) | | 2a-10=4 | | x^2+59x-60=0 | | -x-(4x+1)= | | (11x)(6x+5)=180 | | 9x+2y=-2 | | -10n-6n= | | 192=-5(4+7m)+2 | | 23-37x=5x+5+-42+-9 | | 16-4*5= | | -7(5x+2)-3x=-242 | | 23-37x=5x+5-42-9 | | -92=4(1-8x) | | -162=3(7n-5) | | 40x+7.5x=1045 |

Equations solver categories