(1+x)(1+x)=0.64

Simple and best practice solution for (1+x)(1+x)=0.64 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)(1+x)=0.64 equation: 


Simplifying
(1 + x)(1 + x) = 0.64

Multiply (1 + x) * (1 + x)
(1(1 + x) + x(1 + x)) = 0.64
((1 * 1 + x * 1) + x(1 + x)) = 0.64
((1 + 1x) + x(1 + x)) = 0.64
(1 + 1x + (1 * x + x * x)) = 0.64
(1 + 1x + (1x + x2)) = 0.64

Combine like terms: 1x + 1x = 2x
(1 + 2x + x2) = 0.64

Solving
1 + 2x + x2 = 0.64

Solving for variable 'x'.

Reorder the terms:
1 + -0.64 + 2x + x2 = 0.64 + -0.64

Combine like terms: 1 + -0.64 = 0.36
0.36 + 2x + x2 = 0.64 + -0.64

Combine like terms: 0.64 + -0.64 = 0.00
0.36 + 2x + x2 = 0.00

Begin completing the square.

Move the constant term to the right:

Add '-0.36' to each side of the equation.
0.36 + 2x + -0.36 + x2 = 0.00 + -0.36

Reorder the terms:
0.36 + -0.36 + 2x + x2 = 0.00 + -0.36

Combine like terms: 0.36 + -0.36 = 0.00
0.00 + 2x + x2 = 0.00 + -0.36
2x + x2 = 0.00 + -0.36

Combine like terms: 0.00 + -0.36 = -0.36
2x + x2 = -0.36

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -0.36 + 1

Reorder the terms:
1 + 2x + x2 = -0.36 + 1

Combine like terms: -0.36 + 1 = 0.64
1 + 2x + x2 = 0.64

Factor a perfect square on the left side:
(x + 1)(x + 1) = 0.64

Calculate the square root of the right side: 0.8

Break this problem into two subproblems by setting 
(x + 1) equal to 0.8 and -0.8.


Subproblem 1
x + 1 = 0.8

Simplifying
x + 1 = 0.8

Reorder the terms:
1 + x = 0.8

Solving
1 + x = 0.8

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + x = 0.8 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0.8 + -1
x = 0.8 + -1

Combine like terms: 0.8 + -1 = -0.2
x = -0.2

Simplifying
x = -0.2


Subproblem 2
x + 1 = -0.8

Simplifying
x + 1 = -0.8

Reorder the terms:
1 + x = -0.8

Solving
1 + x = -0.8

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + x = -0.8 + -1

Combine like terms: 1 + -1 = 0
0 + x = -0.8 + -1
x = -0.8 + -1

Combine like terms: -0.8 + -1 = -1.8
x = -1.8

Simplifying
x = -1.8


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.2, -1.8}

See similar equations:

| 43.5/7.25 | | 22/-1= | | 5(x-2)=5x-7 | | 22/-1 | | 7(2l+3)=63 | | sqrt(2x)=sqrt(11-8x-1) | | x^2+12x=24 | | 4(-3f+-3)+6= | | 2.5b-75=21.5 | | 5-10(2x+8)=4(6x+3) | | (u-5)*8=32 | | 2[5(x+y)-4(6x-5y)]= | | (x/4)-(5/3)=(3x/8) | | -4x+7x=-27 | | 7x+9y=12 | | -13=5-1 | | 5x^2+3x-7=12 | | 4x-3(2x-8)=3(3x-7)+6x | | 2p-16=6p | | k^2-12k+20=0 | | 2x+2+5x-8-5x+1=2 | | 1+11= | | 4n^1/6=8 | | 9x^2+45xy= | | 25h+3=0 | | 192x^2-160x-250=0 | | x+1+9x-61=180 | | (e+3)*4=16 | | 15+6h= | | 2.5b-0.75=13.25 | | (q-9)*5=25 | | w/33 |

Equations solver categories