x(x)+7x=29

Simple and best practice solution for x(x)+7x=29 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)+7x=29 equation: 


Simplifying
x(x) + 7x = 29

Multiply x * x
x2 + 7x = 29

Reorder the terms:
7x + x2 = 29

Solving
7x + x2 = 29

Solving for variable 'x'.

Reorder the terms:
-29 + 7x + x2 = 29 + -29

Combine like terms: 29 + -29 = 0
-29 + 7x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '29' to each side of the equation.
-29 + 7x + 29 + x2 = 0 + 29

Reorder the terms:
-29 + 29 + 7x + x2 = 0 + 29

Combine like terms: -29 + 29 = 0
0 + 7x + x2 = 0 + 29
7x + x2 = 0 + 29

Combine like terms: 0 + 29 = 29
7x + x2 = 29

The x term is 7x.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7x + 12.25 + x2 = 29 + 12.25

Reorder the terms:
12.25 + 7x + x2 = 29 + 12.25

Combine like terms: 29 + 12.25 = 41.25
12.25 + 7x + x2 = 41.25

Factor a perfect square on the left side:
(x + 3.5)(x + 3.5) = 41.25

Calculate the square root of the right side: 6.422616289

Break this problem into two subproblems by setting 
(x + 3.5) equal to 6.422616289 and -6.422616289.


Subproblem 1
x + 3.5 = 6.422616289

Simplifying
x + 3.5 = 6.422616289

Reorder the terms:
3.5 + x = 6.422616289

Solving
3.5 + x = 6.422616289

Solving for variable 'x'.

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

Add '-3.5' to each side of the equation.
3.5 + -3.5 + x = 6.422616289 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + x = 6.422616289 + -3.5
x = 6.422616289 + -3.5

Combine like terms: 6.422616289 + -3.5 = 2.922616289
x = 2.922616289

Simplifying
x = 2.922616289


Subproblem 2
x + 3.5 = -6.422616289

Simplifying
x + 3.5 = -6.422616289

Reorder the terms:
3.5 + x = -6.422616289

Solving
3.5 + x = -6.422616289

Solving for variable 'x'.

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

Add '-3.5' to each side of the equation.
3.5 + -3.5 + x = -6.422616289 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + x = -6.422616289 + -3.5
x = -6.422616289 + -3.5

Combine like terms: -6.422616289 + -3.5 = -9.922616289
x = -9.922616289

Simplifying
x = -9.922616289


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.922616289, -9.922616289}

See similar equations:

| -11h-2=-5h-14 | | 2(j-8)+-4=8 | | 7=22-a | | 4x^2-53x+153=0 | | 99-s=17 | | 3(v-13)+6=9 | | x/2=3x+10 | | 2x^2-29x+81=0 | | 10=v-81 | | -12+13n=12n | | 79-f=37 | | 21=q-57 | | n=0.6+n | | x-25=32 | | n=n+0.6 | | -0+7(8)=-8 | | 7n+(3n+6)=35 | | 0.2=4.8 | | 2x-7y+5z=-6 | | -4(m-18)=-4 | | 17=52-d | | 15x+14=13x+4 | | -3+7(-7)=-8 | | z-15=81 | | 14m-4m=20 | | -1+7(1)=-8 | | 200-4.5x=20 | | 4c-3c=13 | | x^3-9x^2+20x-14=0 | | -4x^2-24x-28=0 | | -2a+7a=-15 | | 24=26r |

Equations solver categories