5(e-4)e=10

Simple and best practice solution for 5(e-4)e=10 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 5(e-4)e=10 equation: 


Simplifying
5(e + -4) * e = 10

Reorder the terms:
5(-4 + e) * e = 10

Reorder the terms for easier multiplication:
5e(-4 + e) = 10
(-4 * 5e + e * 5e) = 10
(-20e + 5e2) = 10

Solving
-20e + 5e2 = 10

Solving for variable 'e'.

Reorder the terms:
-10 + -20e + 5e2 = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + -20e + 5e2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-2 + -4e + e2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-2 + -4e + e2)' equal to zero and attempt to solve:

Simplifying
-2 + -4e + e2 = 0

Solving
-2 + -4e + e2 = 0

Begin completing the square.

Move the constant term to the right:

Add '2' to each side of the equation.
-2 + -4e + 2 + e2 = 0 + 2

Reorder the terms:
-2 + 2 + -4e + e2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -4e + e2 = 0 + 2
-4e + e2 = 0 + 2

Combine like terms: 0 + 2 = 2
-4e + e2 = 2

The e term is -4e.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4e + 4 + e2 = 2 + 4

Reorder the terms:
4 + -4e + e2 = 2 + 4

Combine like terms: 2 + 4 = 6
4 + -4e + e2 = 6

Factor a perfect square on the left side:
(e + -2)(e + -2) = 6

Calculate the square root of the right side: 2.449489743

Break this problem into two subproblems by setting 
(e + -2) equal to 2.449489743 and -2.449489743.


Subproblem 1
e + -2 = 2.449489743

Simplifying
e + -2 = 2.449489743

Reorder the terms:
-2 + e = 2.449489743

Solving
-2 + e = 2.449489743

Solving for variable 'e'.

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

Add '2' to each side of the equation.
-2 + 2 + e = 2.449489743 + 2

Combine like terms: -2 + 2 = 0
0 + e = 2.449489743 + 2
e = 2.449489743 + 2

Combine like terms: 2.449489743 + 2 = 4.449489743
e = 4.449489743

Simplifying
e = 4.449489743


Subproblem 2
e + -2 = -2.449489743

Simplifying
e + -2 = -2.449489743

Reorder the terms:
-2 + e = -2.449489743

Solving
-2 + e = -2.449489743

Solving for variable 'e'.

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

Add '2' to each side of the equation.
-2 + 2 + e = -2.449489743 + 2

Combine like terms: -2 + 2 = 0
0 + e = -2.449489743 + 2
e = -2.449489743 + 2

Combine like terms: -2.449489743 + 2 = -0.449489743
e = -0.449489743

Simplifying
e = -0.449489743


Solution
The solution to the problem is based on the solutions
from the subproblems.
e = {4.449489743, -0.449489743}
Solution
e = {4.449489743, -0.449489743}

See similar equations:

| 5s+4=74 | | =cosx | | 6(4n-1)+3=-99 | | 100p+20=460 | | =4cost | | x^2+8x+y^2-22y+c=0 | | 6s+4=74 | | -4(4x+1)=2(4-8x)-12 | | 3x-9y+4= | | 5(2x-y)+(3x+4y)= | | 0.35x+1.6=-.5 | | e|-95+6=4 | | k*6=-36 | | 3*5y-7-6=24 | | -3=23-9 | | 0.5+0.25(300)=0.25(198) | | 3x^2+0x-75=0 | | 3/10x+7=1/6-x | | 12=g+52 | | 0.5(x+40)+0.5x=55 | | -.6c-3=2.4-24 | | 3(u+4)=-2(3u-3)+u | | -2(y-3)-8y+6=4(y-2) | | 0.24(6)+0.04x=0.12(36+x) | | c=85+20h | | 9-3a+5=3 | | 2x+5(2)=3 | | 6x^2-8=232 | | 6x+2(6x-11)=194 | | 6=1/12v | | x+(3x+12)+(x+8)= | | 4ln(9x)=20 |

Equations solver categories