x*x+1=29+x+(x+1)

Simple and best practice solution for x*x+1=29+x+(x+1) 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 x*x+1=29+x+(x+1) equation:


Simplifying
x * x + 1 = 29 + x + (x + 1)

Multiply x * x
x2 + 1 = 29 + x + (x + 1)

Reorder the terms:
1 + x2 = 29 + x + (x + 1)

Reorder the terms:
1 + x2 = 29 + x + (1 + x)

Remove parenthesis around (1 + x)
1 + x2 = 29 + x + 1 + x

Reorder the terms:
1 + x2 = 29 + 1 + x + x

Combine like terms: 29 + 1 = 30
1 + x2 = 30 + x + x

Combine like terms: x + x = 2x
1 + x2 = 30 + 2x

Solving
1 + x2 = 30 + 2x

Solving for variable 'x'.

Reorder the terms:
1 + -30 + -2x + x2 = 30 + 2x + -30 + -2x

Combine like terms: 1 + -30 = -29
-29 + -2x + x2 = 30 + 2x + -30 + -2x

Reorder the terms:
-29 + -2x + x2 = 30 + -30 + 2x + -2x

Combine like terms: 30 + -30 = 0
-29 + -2x + x2 = 0 + 2x + -2x
-29 + -2x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-29 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '29' to each side of the equation.
-29 + -2x + 29 + x2 = 0 + 29

Reorder the terms:
-29 + 29 + -2x + x2 = 0 + 29

Combine like terms: -29 + 29 = 0
0 + -2x + x2 = 0 + 29
-2x + x2 = 0 + 29

Combine like terms: 0 + 29 = 29
-2x + x2 = 29

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 = 29 + 1

Reorder the terms:
1 + -2x + x2 = 29 + 1

Combine like terms: 29 + 1 = 30
1 + -2x + x2 = 30

Factor a perfect square on the left side:
(x + -1)(x + -1) = 30

Calculate the square root of the right side: 5.477225575

Break this problem into two subproblems by setting 
(x + -1) equal to 5.477225575 and -5.477225575.

Subproblem 1

x + -1 = 5.477225575 Simplifying x + -1 = 5.477225575 Reorder the terms: -1 + x = 5.477225575 Solving -1 + x = 5.477225575 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 = 5.477225575 + 1 Combine like terms: -1 + 1 = 0 0 + x = 5.477225575 + 1 x = 5.477225575 + 1 Combine like terms: 5.477225575 + 1 = 6.477225575 x = 6.477225575 Simplifying x = 6.477225575

Subproblem 2

x + -1 = -5.477225575 Simplifying x + -1 = -5.477225575 Reorder the terms: -1 + x = -5.477225575 Solving -1 + x = -5.477225575 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 = -5.477225575 + 1 Combine like terms: -1 + 1 = 0 0 + x = -5.477225575 + 1 x = -5.477225575 + 1 Combine like terms: -5.477225575 + 1 = -4.477225575 x = -4.477225575 Simplifying x = -4.477225575

Solution

The solution to the problem is based on the solutions from the subproblems. x = {6.477225575, -4.477225575}

See similar equations:

| 2x+6=-7x-30 | | 0=.2x-5 | | 8(x+4)=48 | | x^2-28x= | | 3x+42=9x | | 6+0.2q=10 | | 0.9x+1.0=0.3x+0.4 | | 2[x-3(x-1)]=x-3(x+1) | | -(2n+4)=-12+3n | | x=2y-6 | | 4(y+3)=6y+22 | | x^2+6x=23 | | 20x^2+23x-21=0 | | (3x^4-5x^3-2x)+(6x^4-7x)= | | r^2+9t=-20 | | 15m-9=36 | | x-7.8=-3.6 | | 8(8-4x)-5=26+x | | -5x^2-13x-6=0 | | 4f-9=15+8f | | m+22=15 | | (-3d^2-8+2d)+(4d-12+d^2)= | | m^2=90 | | 64x^2-16x=0 | | 5x^3+35x^2+5x+35=0 | | 38.8-9.7t=-67.9 | | 4b-5(7b+1)=-8b-28 | | 2a^2-9a+4=0 | | (u-8)(u+3)= | | 2(-1-9y)+4y=5 | | 18x^2-84x+98= | | 6(4x-7)=3(8x+8) |

Equations solver categories