(3x-1)(x+9)=20

Simple and best practice solution for (3x-1)(x+9)=20 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 (3x-1)(x+9)=20 equation: 


Simplifying
(3x + -1)(x + 9) = 20

Reorder the terms:
(-1 + 3x)(x + 9) = 20

Reorder the terms:
(-1 + 3x)(9 + x) = 20

Multiply (-1 + 3x) * (9 + x)
(-1(9 + x) + 3x * (9 + x)) = 20
((9 * -1 + x * -1) + 3x * (9 + x)) = 20
((-9 + -1x) + 3x * (9 + x)) = 20
(-9 + -1x + (9 * 3x + x * 3x)) = 20
(-9 + -1x + (27x + 3x2)) = 20

Combine like terms: -1x + 27x = 26x
(-9 + 26x + 3x2) = 20

Solving
-9 + 26x + 3x2 = 20

Solving for variable 'x'.

Reorder the terms:
-9 + -20 + 26x + 3x2 = 20 + -20

Combine like terms: -9 + -20 = -29
-29 + 26x + 3x2 = 20 + -20

Combine like terms: 20 + -20 = 0
-29 + 26x + 3x2 = 0

Factor a trinomial.
(-29 + -3x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-29 + -3x)' equal to zero and attempt to solve:

Simplifying
-29 + -3x = 0

Solving
-29 + -3x = 0

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

Add '29' to each side of the equation.
-29 + 29 + -3x = 0 + 29

Combine like terms: -29 + 29 = 0
0 + -3x = 0 + 29
-3x = 0 + 29

Combine like terms: 0 + 29 = 29
-3x = 29

Divide each side by '-3'.
x = -9.666666667

Simplifying
x = -9.666666667

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 = {-9.666666667, 1}

See similar equations:

| 6+3ln(x)=9 | | 3x+6x-5+1=41 | | ln(x^2)=ln(2x+8) | | 1-Inx=0 | | 3v=v+54 | | t+19=2t | | 9x+8=431 | | 10=3(4) | | 9x-8=431 | | 7w=w+60 | | 5=3(2) | | 2(x+5)=7-2x+3 | | x-8x+2=-5-3+x | | 12x-10=-x-4 | | x-3+1= | | -2y-4=3y | | 25t=-16t^2+30 | | 7a-7=15(a-3) | | Y=6sin(2x+10) | | 7x+10y=-10 | | 12x-4x+5-6x-3-2x+1=1 | | 3x^2-114x+1=0 | | x^2+10x+169=0 | | -e^2+4f^2= | | (5m-3)(m+2)=(4m+7)(m+1) | | 4d+2e-d+3e= | | 5-12x+14=11-15x+18 | | E=7.94x^2+33.2x+2190 | | 3y-2x=23 | | 3y-2x=32 | | -2-(-3+-3)= | | -6+-3*-6= |

Equations solver categories