(2x+1)(x-3)=9

Simple and best practice solution for (2x+1)(x-3)=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 (2x+1)(x-3)=9 equation: 


Simplifying
(2x + 1)(x + -3) = 9

Reorder the terms:
(1 + 2x)(x + -3) = 9

Reorder the terms:
(1 + 2x)(-3 + x) = 9

Multiply (1 + 2x) * (-3 + x)
(1(-3 + x) + 2x * (-3 + x)) = 9
((-3 * 1 + x * 1) + 2x * (-3 + x)) = 9
((-3 + 1x) + 2x * (-3 + x)) = 9
(-3 + 1x + (-3 * 2x + x * 2x)) = 9
(-3 + 1x + (-6x + 2x2)) = 9

Combine like terms: 1x + -6x = -5x
(-3 + -5x + 2x2) = 9

Solving
-3 + -5x + 2x2 = 9

Solving for variable 'x'.

Reorder the terms:
-3 + -9 + -5x + 2x2 = 9 + -9

Combine like terms: -3 + -9 = -12
-12 + -5x + 2x2 = 9 + -9

Combine like terms: 9 + -9 = 0
-12 + -5x + 2x2 = 0

Factor a trinomial.
(-3 + -2x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve:

Simplifying
-3 + -2x = 0

Solving
-3 + -2x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = 0 + 3
-2x = 0 + 3

Combine like terms: 0 + 3 = 3
-2x = 3

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-1.5, 4}

See similar equations:

| 5x+26=66 | | x/18=7/36 | | 3/4f-5=-5 | | 3x-4=45 | | .13x+.7(x+200)=480 | | x+95=238 | | 56a^2-14ab-7b^2=0 | | x+11.3=x | | 5c^3+35c^2-40c=0 | | 0=25x^2-100 | | 5/y=7716.8 | | m+3.66666667=5.33333333 | | (x+19)=80 | | 18=12-2x | | 22=(4g)+g | | 5x^2+20xy+20y^2=0 | | 4x^4-16x^3= | | -7(1-4m)=12(2m-3) | | x^2+4-250=0 | | x^2+50=-15x | | -4(-3)(-3)(-7)= | | 14/t=10/11 | | (x+16)=100 | | 5/8=s/12 | | 3.5x+9z=204 | | 16/24=z/15 | | 6(11+x)= | | 10y-y=11y | | 3x+1=1x+2 | | 2x-8=48 | | 14x+2=7x+10 | | 10x=180-6x |

Equations solver categories