(3x+5)(x-1)=3

Simple and best practice solution for (3x+5)(x-1)=3 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+5)(x-1)=3 equation: 


Simplifying
(3x + 5)(x + -1) = 3

Reorder the terms:
(5 + 3x)(x + -1) = 3

Reorder the terms:
(5 + 3x)(-1 + x) = 3

Multiply (5 + 3x) * (-1 + x)
(5(-1 + x) + 3x * (-1 + x)) = 3
((-1 * 5 + x * 5) + 3x * (-1 + x)) = 3
((-5 + 5x) + 3x * (-1 + x)) = 3
(-5 + 5x + (-1 * 3x + x * 3x)) = 3
(-5 + 5x + (-3x + 3x2)) = 3

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

Solving
-5 + 2x + 3x2 = 3

Solving for variable 'x'.

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

Combine like terms: -5 + -3 = -8
-8 + 2x + 3x2 = 3 + -3

Combine like terms: 3 + -3 = 0
-8 + 2x + 3x2 = 0

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


Subproblem 1
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

Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 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 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {-2, 1.333333333}

See similar equations:

| Y=2x-9x+1 | | 2a+5=-17 | | (x+a)=4b | | 2x=(y*(y-1)) | | 2y=x*(x-1) | | 0.086/43 | | 28(-n-32)-2(n+17)=13n-30+32n | | 1.3/100= | | 27(-n-32)-2(n+17)=13n-30+32n | | 3k(x-5)x+8=0findk | | -8(11k-3)=-8(5k-9)-40k | | -8(11k-3)=-8(5-9)-40k | | 12x+20=120+2x | | y=x^3-5x^2 | | -5(8-4m)=8(10+2m)-2m | | 4i(1/2i)^2(-2i)^2 | | 0.05(y-10+0.15y)=0.10y-0.03(50) | | 8x-8w+3y+4w+5x+8y= | | -12(n+7)+7(6+8n)=n+n | | -12(n+7)+7(6+8b)=n+n | | 3+3*6+2= | | x-32=(x+8)(-7) | | x-31=(x+8)(-7) | | -3(x+4)+5=6-4x | | -4(1-2b)=38-6b | | 2f+30=32 | | 2x-6=7x-63 | | x^6-x^4-x^3-1=0 | | 2x-7=-63+6 | | -7b+11=-(b-5) | | 60x^3-39x^2+6x=0 | | X^2+2b=35 |

Equations solver categories