7x(20-2x)=32

Simple and best practice solution for 7x(20-2x)=32 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 7x(20-2x)=32 equation: 


Simplifying
7x(20 + -2x) = 32
(20 * 7x + -2x * 7x) = 32
(140x + -14x2) = 32

Solving
140x + -14x2 = 32

Solving for variable 'x'.

Reorder the terms:
-32 + 140x + -14x2 = 32 + -32

Combine like terms: 32 + -32 = 0
-32 + 140x + -14x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-16 + 70x + -7x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-16 + 70x + -7x2)' equal to zero and attempt to solve:

Simplifying
-16 + 70x + -7x2 = 0

Solving
-16 + 70x + -7x2 = 0

Begin completing the square.  Divide all terms by
-7 the coefficient of the squared term: 

Divide each side by '-7'.
2.285714286 + -10x + x2 = 0

Move the constant term to the right:

Add '-2.285714286' to each side of the equation.
2.285714286 + -10x + -2.285714286 + x2 = 0 + -2.285714286

Reorder the terms:
2.285714286 + -2.285714286 + -10x + x2 = 0 + -2.285714286

Combine like terms: 2.285714286 + -2.285714286 = 0.000000000
0.000000000 + -10x + x2 = 0 + -2.285714286
-10x + x2 = 0 + -2.285714286

Combine like terms: 0 + -2.285714286 = -2.285714286
-10x + x2 = -2.285714286

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 = -2.285714286 + 25

Reorder the terms:
25 + -10x + x2 = -2.285714286 + 25

Combine like terms: -2.285714286 + 25 = 22.714285714
25 + -10x + x2 = 22.714285714

Factor a perfect square on the left side:
(x + -5)(x + -5) = 22.714285714

Calculate the square root of the right side: 4.765950662

Break this problem into two subproblems by setting 
(x + -5) equal to 4.765950662 and -4.765950662.


Subproblem 1
x + -5 = 4.765950662

Simplifying
x + -5 = 4.765950662

Reorder the terms:
-5 + x = 4.765950662

Solving
-5 + x = 4.765950662

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 = 4.765950662 + 5

Combine like terms: -5 + 5 = 0
0 + x = 4.765950662 + 5
x = 4.765950662 + 5

Combine like terms: 4.765950662 + 5 = 9.765950662
x = 9.765950662

Simplifying
x = 9.765950662


Subproblem 2
x + -5 = -4.765950662

Simplifying
x + -5 = -4.765950662

Reorder the terms:
-5 + x = -4.765950662

Solving
-5 + x = -4.765950662

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 = -4.765950662 + 5

Combine like terms: -5 + 5 = 0
0 + x = -4.765950662 + 5
x = -4.765950662 + 5

Combine like terms: -4.765950662 + 5 = 0.234049338
x = 0.234049338

Simplifying
x = 0.234049338


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {9.765950662, 0.234049338}
Solution
x = {9.765950662, 0.234049338}

See similar equations:

| 2x-18=6x+10 | | -5t-4t=2t | | 7b-5(3-2b)= | | 33x-52-45x=20 | | -5y-14=2t | | Y=x^3-5x^2+8x-4 | | 4x+15-4x=3x | | 10(3b-6)-6= | | 1-25y^2= | | 12x-8-5x=6x+6 | | 6p+22=9p | | 6p+7=8p-13 | | 0=16t^2-24t+7 | | 10-3x=4x+15 | | -3n-7(n+7)= | | 9n-2=7not | | 5(8k+10)+3= | | 5(b-6)+9b= | | 55+2c=7c | | 11=10x-10 | | -10x-6(8+8x)= | | 6n=3(t-2) | | 9-2x=32 | | 0.1x+0.15(8000-x)=1100 | | 3+10(6-4n)= | | log^6x=2.1 | | -10*0+2=-20 | | -9x-9(x-8)= | | 9n+5(-9n-6)= | | -8(10+5x)= | | -36=-8-4x | | (u+ys)(7u+2ys)= |

Equations solver categories