x^2+7x-2=17x-18

Simple and best practice solution for x^2+7x-2=17x-18 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+7x-2=17x-18 equation: 


Simplifying
x2 + 7x + -2 = 17x + -18

Reorder the terms:
-2 + 7x + x2 = 17x + -18

Reorder the terms:
-2 + 7x + x2 = -18 + 17x

Solving
-2 + 7x + x2 = -18 + 17x

Solving for variable 'x'.

Reorder the terms:
-2 + 18 + 7x + -17x + x2 = -18 + 17x + 18 + -17x

Combine like terms: -2 + 18 = 16
16 + 7x + -17x + x2 = -18 + 17x + 18 + -17x

Combine like terms: 7x + -17x = -10x
16 + -10x + x2 = -18 + 17x + 18 + -17x

Reorder the terms:
16 + -10x + x2 = -18 + 18 + 17x + -17x

Combine like terms: -18 + 18 = 0
16 + -10x + x2 = 0 + 17x + -17x
16 + -10x + x2 = 17x + -17x

Combine like terms: 17x + -17x = 0
16 + -10x + x2 = 0

Factor a trinomial.
(2 + -1x)(8 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

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

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

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {2, 8}

See similar equations:

| 3x-24=6(x-4) | | 154=277-v | | 5y-7+1y=-1(y+3y) | | (-9x+6)(x-5)=0 | | -38x+2=0 | | 3x-24=6(d-4) | | 2x-3y+6=0 | | 3y^2-4y^3-6y^2+7y^3= | | -w+257=44 | | 2x-10=3.333 | | 2x+5y-3=0 | | 7x^2-21=0 | | 2+3y=6y-0.25 | | 3x-2x+6=-20 | | 20[25+5]=24 | | Y+3x=10 | | 4x^2-6x+9=0 | | 249=6(x-60)+75 | | -5(4)+y=-10 | | 21+7x-44=3x+12+9x | | 39=7-4w | | 4y=12x+16 | | 3[-8x]+8=80 | | 6y=-24+2x | | -7(2x+3)= | | x^2-10x-105=0 | | 10-3x+7x=-2(-6x+7) | | 3(9-2)= | | -4(3x+7)= | | 3(9-2)-3cubed= | | 1x-2=1.5 | | 81=8z-7 |

Equations solver categories