4x(x-1)+1=9

Simple and best practice solution for 4x(x-1)+1=9 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 4x(x-1)+1=9 equation: 


Simplifying
4x(x + -1) + 1 = 9

Reorder the terms:
4x(-1 + x) + 1 = 9
(-1 * 4x + x * 4x) + 1 = 9
(-4x + 4x2) + 1 = 9

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

Solving
1 + -4x + 4x2 = 9

Solving for variable 'x'.

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

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

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

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + -1x + x2) = 0

Factor a trinomial.
4((-1 + -1x)(2 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
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

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 = {-1, 2}

See similar equations:

| x/3+5x=1/4 | | 6(-7n+5h+5a)= | | 3.4x-9.76=5.2 | | 5/x=6/7 | | 8(v+1)-2v=2(3v+1)-6 | | -(8y+2)-(-7y-8)=4 | | 11x+14=6x+114 | | 5x+6x+4x-3= | | 14u-24= | | 3(0.25a+4)=0.5(3a+16) | | 64-2x=7x+18 | | x-3x*=0 | | 0.6x-1.7(x-11)=0.5(x-1) | | 3x+34=13x-86 | | -9-3/4x=4x-113/2 | | -9(j-2)= | | 3(y+5)+8(y-3)+6= | | 138-5x=40x+15 | | x/(-2x^2+6)=1/80 | | 7m-1= | | (3-24x/10)-(1-2x/2)=-1/10(3x-4) | | 3x+-5=13x-95 | | 9x-30= | | x+x=22.5 | | 3x+39= | | 70-7k= | | 2k+34= | | 3x-5=13-95 | | 6X+51=8X-9 | | (9-x)/4=(8x/3)-11 | | -46-3x=14-19 | | 5p-15= |

Equations solver categories