x^2=x+44

Simple and best practice solution for x^2=x+44 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^2=x+44 equation:


Simplifying
x2 = x + 44

Reorder the terms:
x2 = 44 + x

Solving
x2 = 44 + x

Solving for variable 'x'.

Reorder the terms:
-44 + -1x + x2 = 44 + x + -44 + -1x

Reorder the terms:
-44 + -1x + x2 = 44 + -44 + x + -1x

Combine like terms: 44 + -44 = 0
-44 + -1x + x2 = 0 + x + -1x
-44 + -1x + x2 = x + -1x

Combine like terms: x + -1x = 0
-44 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '44' to each side of the equation.
-44 + -1x + 44 + x2 = 0 + 44

Reorder the terms:
-44 + 44 + -1x + x2 = 0 + 44

Combine like terms: -44 + 44 = 0
0 + -1x + x2 = 0 + 44
-1x + x2 = 0 + 44

Combine like terms: 0 + 44 = 44
-1x + x2 = 44

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = 44 + 0.25

Reorder the terms:
0.25 + -1x + x2 = 44 + 0.25

Combine like terms: 44 + 0.25 = 44.25
0.25 + -1x + x2 = 44.25

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = 44.25

Calculate the square root of the right side: 6.652067348

Break this problem into two subproblems by setting 
(x + -0.5) equal to 6.652067348 and -6.652067348.

Subproblem 1

x + -0.5 = 6.652067348 Simplifying x + -0.5 = 6.652067348 Reorder the terms: -0.5 + x = 6.652067348 Solving -0.5 + x = 6.652067348 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + x = 6.652067348 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = 6.652067348 + 0.5 x = 6.652067348 + 0.5 Combine like terms: 6.652067348 + 0.5 = 7.152067348 x = 7.152067348 Simplifying x = 7.152067348

Subproblem 2

x + -0.5 = -6.652067348 Simplifying x + -0.5 = -6.652067348 Reorder the terms: -0.5 + x = -6.652067348 Solving -0.5 + x = -6.652067348 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + x = -6.652067348 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = -6.652067348 + 0.5 x = -6.652067348 + 0.5 Combine like terms: -6.652067348 + 0.5 = -6.152067348 x = -6.152067348 Simplifying x = -6.152067348

Solution

The solution to the problem is based on the solutions from the subproblems. x = {7.152067348, -6.152067348}

See similar equations:

| 6+64=70 | | -3x+6(x-4)=9 | | -1-5x=5x+7 | | 7=6x+19 | | 3f^2+4f-3+8f^2+7f+1= | | -5x+3(x+5)=1 | | 40+40x=70-45x | | 3-1/x | | 2t+1+4t-5t= | | x^2-7y+9= | | 6(y-7)=18 | | 10x+2=13x+2 | | 2x/5+5=21 | | 0.9x-36=3 | | 131.5/1.25 | | 12x+40=8x+10 | | 9v^2+30=-25 | | 14x-7=8x+16+1 | | 16^-5/4 | | 500.00+0.35=2.50x | | 24*24=12*(12+x) | | 7x+12=-37 | | 5(3x+1)=185 | | 2(x+4)=44+4x | | 10x+15=10x+20-5 | | x^2-5*x-12=0.5 | | 2c+9c+6=9c+14 | | 3x+90=8x | | 2y^2+11=10y | | 2(4x-5)(4x+3)=0 | | 9x+5-3x-3=32 | | 10x+15=10x+15 |

Equations solver categories