0.8x+7=0.2x(4x+35)

Simple and best practice solution for 0.8x+7=0.2x(4x+35) 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 0.8x+7=0.2x(4x+35) equation: 


Simplifying
0.8x + 7 = 0.2x(4x + 35)

Reorder the terms:
7 + 0.8x = 0.2x(4x + 35)

Reorder the terms:
7 + 0.8x = 0.2x(35 + 4x)
7 + 0.8x = (35 * 0.2x + 4x * 0.2x)
7 + 0.8x = (7x + 0.8x2)

Solving
7 + 0.8x = 7x + 0.8x2

Solving for variable 'x'.

Combine like terms: 0.8x + -7x = -6.2x
7 + -6.2x + -0.8x2 = 7x + 0.8x2 + -7x + -0.8x2

Reorder the terms:
7 + -6.2x + -0.8x2 = 7x + -7x + 0.8x2 + -0.8x2

Combine like terms: 7x + -7x = 0
7 + -6.2x + -0.8x2 = 0 + 0.8x2 + -0.8x2
7 + -6.2x + -0.8x2 = 0.8x2 + -0.8x2

Combine like terms: 0.8x2 + -0.8x2 = 0.0
7 + -6.2x + -0.8x2 = 0.0

Begin completing the square.  Divide all terms by
-0.8 the coefficient of the squared term: 

Divide each side by '-0.8'.
-8.75 + 7.75x + x2 = 0

Move the constant term to the right:

Add '8.75' to each side of the equation.
-8.75 + 7.75x + 8.75 + x2 = 0 + 8.75

Reorder the terms:
-8.75 + 8.75 + 7.75x + x2 = 0 + 8.75

Combine like terms: -8.75 + 8.75 = 0.00
0.00 + 7.75x + x2 = 0 + 8.75
7.75x + x2 = 0 + 8.75

Combine like terms: 0 + 8.75 = 8.75
7.75x + x2 = 8.75

The x term is 7.75x.  Take half its coefficient (3.875).
Square it (15.015625) and add it to both sides.

Add '15.015625' to each side of the equation.
7.75x + 15.015625 + x2 = 8.75 + 15.015625

Reorder the terms:
15.015625 + 7.75x + x2 = 8.75 + 15.015625

Combine like terms: 8.75 + 15.015625 = 23.765625
15.015625 + 7.75x + x2 = 23.765625

Factor a perfect square on the left side:
(x + 3.875)(x + 3.875) = 23.765625

Calculate the square root of the right side: 4.875

Break this problem into two subproblems by setting 
(x + 3.875) equal to 4.875 and -4.875.


Subproblem 1
x + 3.875 = 4.875

Simplifying
x + 3.875 = 4.875

Reorder the terms:
3.875 + x = 4.875

Solving
3.875 + x = 4.875

Solving for variable 'x'.

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

Add '-3.875' to each side of the equation.
3.875 + -3.875 + x = 4.875 + -3.875

Combine like terms: 3.875 + -3.875 = 0.000
0.000 + x = 4.875 + -3.875
x = 4.875 + -3.875

Combine like terms: 4.875 + -3.875 = 1
x = 1

Simplifying
x = 1


Subproblem 2
x + 3.875 = -4.875

Simplifying
x + 3.875 = -4.875

Reorder the terms:
3.875 + x = -4.875

Solving
3.875 + x = -4.875

Solving for variable 'x'.

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

Add '-3.875' to each side of the equation.
3.875 + -3.875 + x = -4.875 + -3.875

Combine like terms: 3.875 + -3.875 = 0.000
0.000 + x = -4.875 + -3.875
x = -4.875 + -3.875

Combine like terms: -4.875 + -3.875 = -8.75
x = -8.75

Simplifying
x = -8.75


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1, -8.75}

See similar equations:

| h=-4.9t^2+3.6t | | lnx=51 | | 7/x=21/6 | | -128/-1= | | H-19=18 | | y^2/y^4 | | F(x)=8x^3-27 | | 5r+6=4r+16 | | 3(6x-5)-(4x+2)= | | w^2+w-108=0 | | -6+2m=16 | | -5=1/3p | | -5p+12=6-8p+p | | 10-x=-18 | | 150(x+25)=300x | | 10x^2=21-37x | | X-4/3=5/3 | | 150(x+2)=300x | | 4x=7.2 | | 8x-4(x-2)=16 | | y-5-7y+8= | | 3(x+9)=14+3x-5x | | -8=6-r | | 7(3y+5)=25 | | x^2+5xy=0 | | 4x-9-8x=-19 | | 2tan^2x+6=12 | | 6q^3r^2/3q^2r^2 | | 8(z+6)-2z=34 | | (12-1)2x=0 | | A^2+7a+12=f(a) | | 9x^3+x^2-81x=0 |

Equations solver categories