1-(x+3)2x=4

Simple and best practice solution for 1-(x+3)2x=4 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 1-(x+3)2x=4 equation: 


Simplifying
1 + -1(x + 3) * 2x = 4

Reorder the terms:
1 + -1(3 + x) * 2x = 4

Reorder the terms for easier multiplication:
1 + -1 * 2x(3 + x) = 4

Multiply -1 * 2
1 + -2x(3 + x) = 4
1 + (3 * -2x + x * -2x) = 4
1 + (-6x + -2x2) = 4

Solving
1 + -6x + -2x2 = 4

Solving for variable 'x'.

Reorder the terms:
1 + -4 + -6x + -2x2 = 4 + -4

Combine like terms: 1 + -4 = -3
-3 + -6x + -2x2 = 4 + -4

Combine like terms: 4 + -4 = 0
-3 + -6x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + 6x + 2x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(3 + 6x + 2x2)' equal to zero and attempt to solve:

Simplifying
3 + 6x + 2x2 = 0

Solving
3 + 6x + 2x2 = 0

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

Divide each side by '2'.
1.5 + 3x + x2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + 3x + -1.5 + x2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + 3x + x2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 3x + x2 = 0 + -1.5
3x + x2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
3x + x2 = -1.5

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = -1.5 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -1.5 + 2.25

Combine like terms: -1.5 + 2.25 = 0.75
2.25 + 3x + x2 = 0.75

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = 0.75

Calculate the square root of the right side: 0.866025404

Break this problem into two subproblems by setting 
(x + 1.5) equal to 0.866025404 and -0.866025404.


Subproblem 1
x + 1.5 = 0.866025404

Simplifying
x + 1.5 = 0.866025404

Reorder the terms:
1.5 + x = 0.866025404

Solving
1.5 + x = 0.866025404

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + x = 0.866025404 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = 0.866025404 + -1.5
x = 0.866025404 + -1.5

Combine like terms: 0.866025404 + -1.5 = -0.633974596
x = -0.633974596

Simplifying
x = -0.633974596


Subproblem 2
x + 1.5 = -0.866025404

Simplifying
x + 1.5 = -0.866025404

Reorder the terms:
1.5 + x = -0.866025404

Solving
1.5 + x = -0.866025404

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + x = -0.866025404 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = -0.866025404 + -1.5
x = -0.866025404 + -1.5

Combine like terms: -0.866025404 + -1.5 = -2.366025404
x = -2.366025404

Simplifying
x = -2.366025404


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.633974596, -2.366025404}
Solution
x = {-0.633974596, -2.366025404}

See similar equations:

| 5(x+8)+9=5x+5 | | 15=x/3+6 | | 12a^2+4+3a^2-2=0 | | 7(6-2a)=5-(-3a+1) | | 7=7(5)+6 | | 8g+3g-7g= | | 3.1+x=5.9 | | 0.05x+0.07(x+2000)=1220 | | 9n-21=6n+6 | | Y+3=2(x-1) | | .4x-.3x+.4x=3 | | 5+n=10 | | 4a+7(a+2)= | | 3(z-1)=5z+3+2z | | 2(x+9)+3x-5=8 | | 3-5(z+1)=2+(z-4) | | 3x+134=5x+6 | | 4f-2(f+5)=f+8 | | 9n+21=6n+6 | | X^2+4x=163 | | 20v=19.9v-1.58 | | x-6-6x=1 | | 20v=19.9-1.58 | | -18+14s-20=11s+19 | | (3t/10)=(1/2) | | 9n-21+6n=6 | | -18+14-20=11s+19 | | 10x+y=7 | | -18h=18-16h | | v+.7t=r | | 1+20t=3t-14+18t | | 11x+10=10x+5 |

Equations solver categories