144-48x+x^2=0

Simple and best practice solution for 144-48x+x^2=0 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 144-48x+x^2=0 equation:


Simplifying
144 + -48x + x2 = 0

Solving
144 + -48x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-144' to each side of the equation.
144 + -48x + -144 + x2 = 0 + -144

Reorder the terms:
144 + -144 + -48x + x2 = 0 + -144

Combine like terms: 144 + -144 = 0
0 + -48x + x2 = 0 + -144
-48x + x2 = 0 + -144

Combine like terms: 0 + -144 = -144
-48x + x2 = -144

The x term is -48x.  Take half its coefficient (-24).
Square it (576) and add it to both sides.

Add '576' to each side of the equation.
-48x + 576 + x2 = -144 + 576

Reorder the terms:
576 + -48x + x2 = -144 + 576

Combine like terms: -144 + 576 = 432
576 + -48x + x2 = 432

Factor a perfect square on the left side:
(x + -24)(x + -24) = 432

Calculate the square root of the right side: 20.784609691

Break this problem into two subproblems by setting 
(x + -24) equal to 20.784609691 and -20.784609691.

Subproblem 1

x + -24 = 20.784609691 Simplifying x + -24 = 20.784609691 Reorder the terms: -24 + x = 20.784609691 Solving -24 + x = 20.784609691 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + x = 20.784609691 + 24 Combine like terms: -24 + 24 = 0 0 + x = 20.784609691 + 24 x = 20.784609691 + 24 Combine like terms: 20.784609691 + 24 = 44.784609691 x = 44.784609691 Simplifying x = 44.784609691

Subproblem 2

x + -24 = -20.784609691 Simplifying x + -24 = -20.784609691 Reorder the terms: -24 + x = -20.784609691 Solving -24 + x = -20.784609691 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + x = -20.784609691 + 24 Combine like terms: -24 + 24 = 0 0 + x = -20.784609691 + 24 x = -20.784609691 + 24 Combine like terms: -20.784609691 + 24 = 3.215390309 x = 3.215390309 Simplifying x = 3.215390309

Solution

The solution to the problem is based on the solutions from the subproblems. x = {44.784609691, 3.215390309}

See similar equations:

| 51=-7x-26 | | 5x+8=9x-10 | | 5v*32=3v | | x^2+15x+49=17 | | 7(2x-1)=49 | | x+7+4-7-10=9 | | 11x+2.3=10x+3.1 | | 7(2x+1)=42 | | -x+4=-x+6 | | 2.3-7.9=10w-7.4-9w | | f(xy)=98x-y | | x^2+14x+49=17 | | (-2h)=(-1.46) | | y-10.5=-15 | | 2(3x+3)=2(x+1) | | 6y-22=y-1 | | X=2-2(-2) | | 42-2*6=5*6 | | y=3x^2-24x+144 | | 4(x-4)=7x-34 | | 72=12(-3x) | | 5(5.4)-4=31 | | -9x-36=11x+24 | | (-5.2)=0.04m | | 0.002+0.04=2.04 | | 0=14t+28 | | (-5.2)=0.04 | | 4c=-18 | | -8x-70=2x+160 | | 20=y-2.1 | | 2x=4y+2z | | 4x+2.5x=39 |

Equations solver categories