x^2-116x=-1600

Simple and best practice solution for x^2-116x=-1600 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^2-116x=-1600 equation:


Simplifying
x2 + -116x = -1600

Reorder the terms:
-116x + x2 = -1600

Solving
-116x + x2 = -1600

Solving for variable 'x'.

Reorder the terms:
1600 + -116x + x2 = -1600 + 1600

Combine like terms: -1600 + 1600 = 0
1600 + -116x + x2 = 0

Factor a trinomial.
(16 + -1x)(100 + -1x) = 0

Subproblem 1

Set the factor '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16

Subproblem 2

Set the factor '(100 + -1x)' equal to zero and attempt to solve: Simplifying 100 + -1x = 0 Solving 100 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -1x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -1x = 0 + -100 -1x = 0 + -100 Combine like terms: 0 + -100 = -100 -1x = -100 Divide each side by '-1'. x = 100 Simplifying x = 100

Solution

x = {16, 100}

See similar equations:

| 14=-6v-8v | | -15=7n+4+2 | | h(35)+45=141.25 | | -8=p-8-7p | | 2n(2n)-9n+10=0 | | 8/5=12/2x+4 | | 3x^2-6x+9=-3 | | 6=b(6) | | -18=4k+3+3k | | 2(x+1)+8x=124x-4 | | -4=4x-6x | | 12=6+2(x-1) | | 3w+2m-5mw=1 | | x*6+7=x*5+9*5 | | a-2-2a=1 | | -5(n+12)=4(n+3) | | 9=2+r | | -19=-5x+5-7x | | n-10=-28 | | 2(x+3)+(x+4)=24 | | M-5-1=-14 | | 10x=3-16x | | y=3x^2-8x+2 | | m+18=29 | | 15=-k-2k | | -3y-2=-2y-7 | | 3=-4x+2+5 | | 4(1+x)+7x=-x+8(x+1) | | 11x+(-7y)+(-15x)+5y= | | 8x+4=12x+10 | | 62x-66=-66+62x | | (x^4+1)=0 |

Equations solver categories