80x+1125-x*x=0

Simple and best practice solution for 80x+1125-x*x=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 80x+1125-x*x=0 equation:


Simplifying
80x + 1125 + -1x * x = 0

Multiply x * x
80x + 1125 + -1x2 = 0

Reorder the terms:
1125 + 80x + -1x2 = 0

Solving
1125 + 80x + -1x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-1125 + -80x + x2 = 0

Move the constant term to the right:

Add '1125' to each side of the equation.
-1125 + -80x + 1125 + x2 = 0 + 1125

Reorder the terms:
-1125 + 1125 + -80x + x2 = 0 + 1125

Combine like terms: -1125 + 1125 = 0
0 + -80x + x2 = 0 + 1125
-80x + x2 = 0 + 1125

Combine like terms: 0 + 1125 = 1125
-80x + x2 = 1125

The x term is -80x.  Take half its coefficient (-40).
Square it (1600) and add it to both sides.

Add '1600' to each side of the equation.
-80x + 1600 + x2 = 1125 + 1600

Reorder the terms:
1600 + -80x + x2 = 1125 + 1600

Combine like terms: 1125 + 1600 = 2725
1600 + -80x + x2 = 2725

Factor a perfect square on the left side:
(x + -40)(x + -40) = 2725

Calculate the square root of the right side: 52.201532545

Break this problem into two subproblems by setting 
(x + -40) equal to 52.201532545 and -52.201532545.

Subproblem 1

x + -40 = 52.201532545 Simplifying x + -40 = 52.201532545 Reorder the terms: -40 + x = 52.201532545 Solving -40 + x = 52.201532545 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + x = 52.201532545 + 40 Combine like terms: -40 + 40 = 0 0 + x = 52.201532545 + 40 x = 52.201532545 + 40 Combine like terms: 52.201532545 + 40 = 92.201532545 x = 92.201532545 Simplifying x = 92.201532545

Subproblem 2

x + -40 = -52.201532545 Simplifying x + -40 = -52.201532545 Reorder the terms: -40 + x = -52.201532545 Solving -40 + x = -52.201532545 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + x = -52.201532545 + 40 Combine like terms: -40 + 40 = 0 0 + x = -52.201532545 + 40 x = -52.201532545 + 40 Combine like terms: -52.201532545 + 40 = -12.201532545 x = -12.201532545 Simplifying x = -12.201532545

Solution

The solution to the problem is based on the solutions from the subproblems. x = {92.201532545, -12.201532545}

See similar equations:

| 7!12!/8!11! | | 5/2x^3=0 | | 10y+7-4y=-5+6y-22 | | -x^4-5x^4+4x^2+20x=0 | | 7x-38=5x+12 | | f(x)=(x-4)(x-8i)(x+8i) | | 9x-5+1x=25 | | f(x)=(x-4)(x-8i) | | (px-y)(x-py)=2p | | 24=18+2 | | 36+2x=56 | | H(t)=-16t^2+42t+12 | | 3x-4y+3z= | | 1/2x^2-25=0 | | (x-4)/(100-x)=3/5 | | f(x)=(x+4i)(x-4i) | | 10y=5x-20 | | 2w^2-13=11 | | 20Cos(pi/6*t)-15cos(pi/4*T) | | x-4/100-x=3/5 | | 3p-1s-8p-5s= | | 20Cos(pi/6*t)-cos(pi/4*T) | | x-2.3=11.8 | | (12x+9)+67=180 | | cos(x)=.4 | | 12x-2-12x=0 | | 4x-2x+1=4+2x | | 8x+2x+5(x-3)+2x=63 | | m/4=17/4 | | 7a+2a+3a+6a+2a=360 | | ((25-4a^2)/(3a))*((24x-6x^2)/(2a^2-3a-20)) | | 3x+8-2x=2(x-1)+3 |

Equations solver categories