2x^2-4x+1=9x+8

Simple and best practice solution for 2x^2-4x+1=9x+8 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 2x^2-4x+1=9x+8 equation: 


Simplifying
2x2 + -4x + 1 = 9x + 8

Reorder the terms:
1 + -4x + 2x2 = 9x + 8

Reorder the terms:
1 + -4x + 2x2 = 8 + 9x

Solving
1 + -4x + 2x2 = 8 + 9x

Solving for variable 'x'.

Reorder the terms:
1 + -8 + -4x + -9x + 2x2 = 8 + 9x + -8 + -9x

Combine like terms: 1 + -8 = -7
-7 + -4x + -9x + 2x2 = 8 + 9x + -8 + -9x

Combine like terms: -4x + -9x = -13x
-7 + -13x + 2x2 = 8 + 9x + -8 + -9x

Reorder the terms:
-7 + -13x + 2x2 = 8 + -8 + 9x + -9x

Combine like terms: 8 + -8 = 0
-7 + -13x + 2x2 = 0 + 9x + -9x
-7 + -13x + 2x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
-7 + -13x + 2x2 = 0

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


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

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 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 + -2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 0 + 1
-2x = 0 + 1

Combine like terms: 0 + 1 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

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 = {-0.5, 7}

See similar equations:

| 8x/4=8 | | 9x-12=8x+6 | | 2ln(X-2)=ln(5x) | | (5/9)^-2= | | y(x+4)=192 | | 11x-18=180 | | 10+4=6x+7 | | y-12=1/2(x-7)2 | | 8b=1/b^2 | | 3x/5=60 | | 1x+109=90 | | 3x/5=600 | | 5x+11-9x=13-17x+13-2 | | X^2-4xy+3x+25y-6=0 | | 2.1x-1.84=0.42-6.7x | | 2x=2x+18 | | 5/19-1/4 | | 4(5y-23)=48 | | 3/4-6/13 | | 17/18-4/5 | | 24=-8(5n+2) | | 2/5-1/14 | | 3y-10xy^4=o | | 1/4-1/10 | | 33/88 | | -3x-5=x-11 | | 5/14-1/4 | | -4x-3=x+17 | | 122=7x-35 | | -72/x=-4 | | 9x^2+18=-8 | | 10x-25=20x+65 |

Equations solver categories