x^2+17x-26=8x-4

Simple and best practice solution for x^2+17x-26=8x-4 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+17x-26=8x-4 equation:


Simplifying
x2 + 17x + -26 = 8x + -4

Reorder the terms:
-26 + 17x + x2 = 8x + -4

Reorder the terms:
-26 + 17x + x2 = -4 + 8x

Solving
-26 + 17x + x2 = -4 + 8x

Solving for variable 'x'.

Reorder the terms:
-26 + 4 + 17x + -8x + x2 = -4 + 8x + 4 + -8x

Combine like terms: -26 + 4 = -22
-22 + 17x + -8x + x2 = -4 + 8x + 4 + -8x

Combine like terms: 17x + -8x = 9x
-22 + 9x + x2 = -4 + 8x + 4 + -8x

Reorder the terms:
-22 + 9x + x2 = -4 + 4 + 8x + -8x

Combine like terms: -4 + 4 = 0
-22 + 9x + x2 = 0 + 8x + -8x
-22 + 9x + x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
-22 + 9x + x2 = 0

Factor a trinomial.
(-11 + -1x)(2 + -1x) = 0

Subproblem 1

Set the factor '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {-11, 2}

See similar equations:

| x^2+2x-32=3 | | 8n-8-3n=22 | | (x^2-420)= | | 4*(x+3)=9*(x-2) | | 4(2x-7)=5x-7 | | 4x^2-15x+9=-3+4 | | 14x-15=27 | | 2x+3+4=8+x | | x+12=0.5x+20 | | 13x-5=190 | | 5n+1=n+17 | | b/3+8=14 | | 103-6x=1 | | 7n+2=5n+12 | | t/4-6=4 | | (98x^2-4)/(x-2)=0 | | 6x/7=12 | | x-3-y=x | | 2x+x-7+x=2(x+3) | | 26-1x=9 | | 6n+1=3n+10 | | 11x-11=209 | | 5n+10=1 | | 7n-2=3 | | 285-19x=0 | | 6n-1=9 | | 222-20x=2 | | -1+7x=-85 | | 15x-2=298 | | 12x-35=3x | | 14x-13=127 | | b/7=2 |

Equations solver categories