x+9=2x^2-4x+2

Simple and best practice solution for x+9=2x^2-4x+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 x+9=2x^2-4x+2 equation: 


Simplifying
x + 9 = 2x2 + -4x + 2

Reorder the terms:
9 + x = 2x2 + -4x + 2

Reorder the terms:
9 + x = 2 + -4x + 2x2

Solving
9 + x = 2 + -4x + 2x2

Solving for variable 'x'.

Reorder the terms:
9 + -2 + x + 4x + -2x2 = 2 + -4x + 2x2 + -2 + 4x + -2x2

Combine like terms: 9 + -2 = 7
7 + x + 4x + -2x2 = 2 + -4x + 2x2 + -2 + 4x + -2x2

Combine like terms: x + 4x = 5x
7 + 5x + -2x2 = 2 + -4x + 2x2 + -2 + 4x + -2x2

Reorder the terms:
7 + 5x + -2x2 = 2 + -2 + -4x + 4x + 2x2 + -2x2

Combine like terms: 2 + -2 = 0
7 + 5x + -2x2 = 0 + -4x + 4x + 2x2 + -2x2
7 + 5x + -2x2 = -4x + 4x + 2x2 + -2x2

Combine like terms: -4x + 4x = 0
7 + 5x + -2x2 = 0 + 2x2 + -2x2
7 + 5x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
7 + 5x + -2x2 = 0

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


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

Simplifying
7 + -2x = 0

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

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

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

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5

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

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

Simplifying
x = -1
Solution
x = {3.5, -1}

See similar equations:

| 300m-500m=.9 | | 300m+500m=.9 | | 156+1.3m=-12+1.3m | | -16-n=5n-4 | | 4t=7(t-3) | | 20=405 | | 4x^2+12x+9=1 | | 4x-.3=4x+.9 | | 4x^2+4x-7=0 | | 42+9c=16 | | 10m+7m=765 | | 4x-.3=4+.9 | | 2x^2+9=1 | | 3h=5(h-2) | | N=2n+4 | | 20+.35m=35+.15m | | 10-7=765p | | 3m+8=-2m | | 12h=49-4h | | 80+20x=120+15x | | 81-9(9-1)= | | 2.4-3m=6.4m-8.88 | | 10+7=765p | | 4x+15=2x-7 | | -2x-4=4x+10 | | x^2+dx+3=9 | | 6+3n-3=-3 | | 5x+12=2x-12 | | x^2=(-x^2)+2 | | x^2+2yz=x | | .16666667(y+42)-15=-3 | | 3x^2=13x-4 |

Equations solver categories