5x^2-18x=-2x^2-9x-2

Simple and best practice solution for 5x^2-18x=-2x^2-9x-2 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 5x^2-18x=-2x^2-9x-2 equation: 


Simplifying
5x2 + -18x = -2x2 + -9x + -2

Reorder the terms:
-18x + 5x2 = -2x2 + -9x + -2

Reorder the terms:
-18x + 5x2 = -2 + -9x + -2x2

Solving
-18x + 5x2 = -2 + -9x + -2x2

Solving for variable 'x'.

Reorder the terms:
2 + -18x + 9x + 5x2 + 2x2 = -2 + -9x + -2x2 + 2 + 9x + 2x2

Combine like terms: -18x + 9x = -9x
2 + -9x + 5x2 + 2x2 = -2 + -9x + -2x2 + 2 + 9x + 2x2

Combine like terms: 5x2 + 2x2 = 7x2
2 + -9x + 7x2 = -2 + -9x + -2x2 + 2 + 9x + 2x2

Reorder the terms:
2 + -9x + 7x2 = -2 + 2 + -9x + 9x + -2x2 + 2x2

Combine like terms: -2 + 2 = 0
2 + -9x + 7x2 = 0 + -9x + 9x + -2x2 + 2x2
2 + -9x + 7x2 = -9x + 9x + -2x2 + 2x2

Combine like terms: -9x + 9x = 0
2 + -9x + 7x2 = 0 + -2x2 + 2x2
2 + -9x + 7x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
2 + -9x + 7x2 = 0

Factor a trinomial.
(2 + -7x)(1 + -1x) = 0


Subproblem 1
Set the factor '(2 + -7x)' equal to zero and attempt to solve:

Simplifying
2 + -7x = 0

Solving
2 + -7x = 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 + -7x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 0 + -2
-7x = 0 + -2

Combine like terms: 0 + -2 = -2
-7x = -2

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {0.2857142857, 1}

See similar equations:

| 3x^2-15x=-3x^2-4x-5 | | 7b+2(b-4)=8b-(3b+2) | | -3(-2+5)=18 | | 17-3(x+11)=x+12 | | 4/3y-64=-32 | | 9a-5(a+1)=2(a-3) | | 10x-13=3x+5 | | 5/2x+1/4x=94+x | | X^2+8x+16=590.49 | | .21y-.8=.11y+1-.8y | | 9s-21=-17+7s | | x-0.7=9.32 | | -16s=144 | | -3-6=n-5 | | 4x=2(3x-4) | | 3s-7=-31+7s | | 2m-11=59+8m | | h-37=-5 | | 13/12x+1/12x=7x+1/6+11/12x | | 3(m-1)+5=m+10 | | 5(3+6x)-2=133 | | 4(y-2)=6(y+1)-2y | | a/7+25=-94 | | 53=-16t^2+56t+40 | | 53=-16t^2+56t-13 | | 42-4x=2 | | u/9+13=67 | | c/6+20=40 | | 1/14y+6=11 | | 11-(7)= | | 6x(x+7)= | | 5-2y=117 |

Equations solver categories