8x-x*x=30

Simple and best practice solution for 8x-x*x=30 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 8x-x*x=30 equation:


Simplifying
8x + -1x * x = 30

Multiply x * x
8x + -1x2 = 30

Solving
8x + -1x2 = 30

Solving for variable 'x'.

Reorder the terms:
-30 + 8x + -1x2 = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + 8x + -1x2 = 0

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

Divide each side by '-1'.
30 + -8x + x2 = 0

Move the constant term to the right:

Add '-30' to each side of the equation.
30 + -8x + -30 + x2 = 0 + -30

Reorder the terms:
30 + -30 + -8x + x2 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -8x + x2 = 0 + -30
-8x + x2 = 0 + -30

Combine like terms: 0 + -30 = -30
-8x + x2 = -30

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -30 + 16

Reorder the terms:
16 + -8x + x2 = -30 + 16

Combine like terms: -30 + 16 = -14
16 + -8x + x2 = -14

Factor a perfect square on the left side:
(x + -4)(x + -4) = -14

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| X^2+12X+7=2 | | 6x-2+14-3x=3 | | 4(x+2)(1-x)=0 | | 3y-17+-5y=1 | | 5x-7=5x-1 | | x-1/2=5/2 | | 11x+14=2x+104 | | 1234=-43+1432 | | x(0.12)(1)+(155000-x)(0.09)(1)= | | 8y+6=2y+18 | | 1234=-41+1431 | | -5g+6=3g+46 | | 9/2y+4=91/2 | | -12.8=4t | | 2(x-2)+7=1 | | lx+4l-3=-2 | | -40=5 | | 7x+3+2=33 | | y+1.2y+1.22= | | 2.2y=-1.2z | | 2x^3+7x^2-16x-56=0 | | x^3-9x^2+4x-36=0 | | 4x+5/4x+7 | | 17600=(90+5x)(200-10x) | | 0.3(x+80)+0.3x=33 | | 0.05X-2(X+0.5)=1.2 | | (21b-9)-5(4b+1)=-3 | | 2(y-4x)2dx+xdy=0 | | 3+5*5= | | 0=x^2+22/3h-100 | | -1/9(x-27)+1/3(x+11)=x+11 | | 4.05p=10(p+3) |

Equations solver categories