3e(3e-10)=2

Simple and best practice solution for 3e(3e-10)=2 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 3e(3e-10)=2 equation: 


Simplifying
3e(3e + -10) = 2

Reorder the terms:
3e(-10 + 3e) = 2
(-10 * 3e + 3e * 3e) = 2
(-30e + 9e2) = 2

Solving
-30e + 9e2 = 2

Solving for variable 'e'.

Reorder the terms:
-2 + -30e + 9e2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -30e + 9e2 = 0

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

Divide each side by '9'.
-0.2222222222 + -3.333333333e + e2 = 0

Move the constant term to the right:

Add '0.2222222222' to each side of the equation.
-0.2222222222 + -3.333333333e + 0.2222222222 + e2 = 0 + 0.2222222222

Reorder the terms:
-0.2222222222 + 0.2222222222 + -3.333333333e + e2 = 0 + 0.2222222222

Combine like terms: -0.2222222222 + 0.2222222222 = 0.0000000000
0.0000000000 + -3.333333333e + e2 = 0 + 0.2222222222
-3.333333333e + e2 = 0 + 0.2222222222

Combine like terms: 0 + 0.2222222222 = 0.2222222222
-3.333333333e + e2 = 0.2222222222

The e term is -3.333333333e.  Take half its coefficient (-1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
-3.333333333e + 2.777777779 + e2 = 0.2222222222 + 2.777777779

Reorder the terms:
2.777777779 + -3.333333333e + e2 = 0.2222222222 + 2.777777779

Combine like terms: 0.2222222222 + 2.777777779 = 3.0000000012
2.777777779 + -3.333333333e + e2 = 3.0000000012

Factor a perfect square on the left side:
(e + -1.666666667)(e + -1.666666667) = 3.0000000012

Calculate the square root of the right side: 1.732050808

Break this problem into two subproblems by setting 
(e + -1.666666667) equal to 1.732050808 and -1.732050808.


Subproblem 1
e + -1.666666667 = 1.732050808

Simplifying
e + -1.666666667 = 1.732050808

Reorder the terms:
-1.666666667 + e = 1.732050808

Solving
-1.666666667 + e = 1.732050808

Solving for variable 'e'.

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

Add '1.666666667' to each side of the equation.
-1.666666667 + 1.666666667 + e = 1.732050808 + 1.666666667

Combine like terms: -1.666666667 + 1.666666667 = 0.000000000
0.000000000 + e = 1.732050808 + 1.666666667
e = 1.732050808 + 1.666666667

Combine like terms: 1.732050808 + 1.666666667 = 3.398717475
e = 3.398717475

Simplifying
e = 3.398717475


Subproblem 2
e + -1.666666667 = -1.732050808

Simplifying
e + -1.666666667 = -1.732050808

Reorder the terms:
-1.666666667 + e = -1.732050808

Solving
-1.666666667 + e = -1.732050808

Solving for variable 'e'.

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

Add '1.666666667' to each side of the equation.
-1.666666667 + 1.666666667 + e = -1.732050808 + 1.666666667

Combine like terms: -1.666666667 + 1.666666667 = 0.000000000
0.000000000 + e = -1.732050808 + 1.666666667
e = -1.732050808 + 1.666666667

Combine like terms: -1.732050808 + 1.666666667 = -0.065384141
e = -0.065384141

Simplifying
e = -0.065384141


Solution
The solution to the problem is based on the solutions
from the subproblems.
e = {3.398717475, -0.065384141}

See similar equations:

| 9x(x+2y+3z)= | | 6s^3+23s^2+33s=13s | | 3x-5=5+3x | | y+x^2-2x=0 | | x+y^2-2y=0 | | 10y+5x=100 | | 4y-24-9y+31= | | -4(y-3)=6y-38 | | f(-2)=-2+2(-2-1) | | -9x+-18+25=-38 | | 3+(-22)= | | 7-11x=x-33 | | 3log(7)(4)-5log(7)(m)= | | f(3)=3+2(3-1) | | -2x-10=44+8x | | 5t-2t=t | | 2z^2+7x=0 | | -4(2-y)+3y=4(y-4) | | (2x+4)(x-3)=0 | | f(-2)=-3(4-2)+2 | | 2x-3=4y+6 | | 4x^2-6x+5=x+1 | | 210x+100-72x^2=0 | | -9+4-(-5)= | | 8-3a^3=0 | | f(3)=-3(4-3)+2 | | X-6+2x=48 | | 64=-3(1-2n) | | 2x^2+28x+74=0 | | -65=136 | | 9z^2-26z-3=0 | | 18-7x=5(3x-2)+6 |

Equations solver categories