x^2-20x+27=-9x-1

Simple and best practice solution for x^2-20x+27=-9x-1 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^2-20x+27=-9x-1 equation: 


Simplifying
x2 + -20x + 27 = -9x + -1

Reorder the terms:
27 + -20x + x2 = -9x + -1

Reorder the terms:
27 + -20x + x2 = -1 + -9x

Solving
27 + -20x + x2 = -1 + -9x

Solving for variable 'x'.

Reorder the terms:
27 + 1 + -20x + 9x + x2 = -1 + -9x + 1 + 9x

Combine like terms: 27 + 1 = 28
28 + -20x + 9x + x2 = -1 + -9x + 1 + 9x

Combine like terms: -20x + 9x = -11x
28 + -11x + x2 = -1 + -9x + 1 + 9x

Reorder the terms:
28 + -11x + x2 = -1 + 1 + -9x + 9x

Combine like terms: -1 + 1 = 0
28 + -11x + x2 = 0 + -9x + 9x
28 + -11x + x2 = -9x + 9x

Combine like terms: -9x + 9x = 0
28 + -11x + x2 = 0

Factor a trinomial.
(4 + -1x)(7 + -1x) = 0


Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
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
Solution
x = {4, 7}

See similar equations:

| 3x+-x=10 | | -8a=72-8 | | 18x-3=13-9 | | 43r+50=60r | | -54-9x=36-12x | | X+235.12=310.21 | | x^2+7x+22=10 | | 1x-35=30 | | 8(10w+5)= | | -104-10x=50+x | | 10+5y=3y-9+2y | | -98-11x=175+10x | | 3g+21=6 | | 2x+8-6x=2x+44 | | -6*-6+5*-6-4= | | xsquared+2x-8=0 | | 8x-209=57-6x | | -12+6g=24 | | .2[10-5(x-2)]=.1(x+1) | | -3x-71=-10x+34 | | 6h-2(h+6)=10h | | 3x-4=2x+15 | | -9=x-4-6 | | 4(x+2)+x+1=2x-3+(3x+4) | | F+523.89=812.57 | | 3k+4k=-14 | | 9=3/5 | | -8-37=x | | -32+11x=73+4x | | 4x+205=14x-5 | | 3x+2(x+4)=-23 | | xsquared-14x+14=4-8x |

Equations solver categories