x^2-6x+9=100

Simple and best practice solution for x^2-6x+9=100 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^2-6x+9=100 equation:


Simplifying
x2 + -6x + 9 = 100

Reorder the terms:
9 + -6x + x2 = 100

Solving
9 + -6x + x2 = 100

Solving for variable 'x'.

Reorder the terms:
9 + -100 + -6x + x2 = 100 + -100

Combine like terms: 9 + -100 = -91
-91 + -6x + x2 = 100 + -100

Combine like terms: 100 + -100 = 0
-91 + -6x + x2 = 0

Factor a trinomial.
(-7 + -1x)(13 + -1x) = 0

Subproblem 1

Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7

Subproblem 2

Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13

Solution

x = {-7, 13}

See similar equations:

| c=12 | | 25-3b=-1 | | 240=6z+c | | 5x^2-9x-2=0 | | 2x+14=5x-4 | | 10x+15y= | | x^2=8 | | (4-5g)(3g+2)= | | Y=3x+1 | | X^2-kx+100=0 | | 9b=-36 | | X-35=25 | | 5y=y-40 | | 4+7z=2.8 | | S=4g+4v | | 13-f=7 | | 0.2(3c+15)=3(0.8c-8) | | -12h=132 | | X+2=-4x+7 | | 4x^2=28 | | b+1=-3-2 | | 4t+7z=2.8 | | 4q-15=6q-1 | | 5x-10=9x+26 | | -630=-30(-3b) | | -2f+14=6-2 | | 2x+4=-27 | | 21x+4=50 | | -36-x=15-4x | | -3b+8=2b+48 | | 7x^2-33x-10=0 | | 12k+5=k+49 |

Equations solver categories