(2x-1)(3x+5)=5

Simple and best practice solution for (2x-1)(3x+5)=5 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)(3x+5)=5 equation: 


Simplifying
(2x + -1)(3x + 5) = 5

Reorder the terms:
(-1 + 2x)(3x + 5) = 5

Reorder the terms:
(-1 + 2x)(5 + 3x) = 5

Multiply (-1 + 2x) * (5 + 3x)
(-1(5 + 3x) + 2x * (5 + 3x)) = 5
((5 * -1 + 3x * -1) + 2x * (5 + 3x)) = 5
((-5 + -3x) + 2x * (5 + 3x)) = 5
(-5 + -3x + (5 * 2x + 3x * 2x)) = 5
(-5 + -3x + (10x + 6x2)) = 5

Combine like terms: -3x + 10x = 7x
(-5 + 7x + 6x2) = 5

Solving
-5 + 7x + 6x2 = 5

Solving for variable 'x'.

Reorder the terms:
-5 + -5 + 7x + 6x2 = 5 + -5

Combine like terms: -5 + -5 = -10
-10 + 7x + 6x2 = 5 + -5

Combine like terms: 5 + -5 = 0
-10 + 7x + 6x2 = 0

Factor a trinomial.
(-2 + -1x)(5 + -6x) = 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 '(5 + -6x)' equal to zero and attempt to solve:

Simplifying
5 + -6x = 0

Solving
5 + -6x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -6x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = 0 + -5
-6x = 0 + -5

Combine like terms: 0 + -5 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333
Solution
x = {-2, 0.8333333333}

See similar equations:

| 4(2n-6)=-30 | | -3+7n=-3 | | 2-7x=-47 | | 3x^3=12x | | 15j^2-35j+10=0 | | 46=47-x | | x-2[(x-3)-(3x-8)]=5(x-2) | | 4(2x-5)=5-(2x-1) | | x^2+4x-2x=0 | | 20x^2+192x+256=0 | | (4y-5)(2y-6)(3y-4)=0 | | 4x^2-12x=4 | | 8+5x=53 | | 2z^3+9z^2+4z=0 | | x-31=20 | | 9-5x^2=2x^2-4 | | 82+x=141 | | -5+4x=2x-1 | | 6x-2-3x+8= | | 8(9n+27)=0 | | 20x+8=-12+6x | | 3x^2-20+13=0 | | 6-7h=62 | | x-11=22 | | 5p+2=3p-4 | | 10x^2-31x-15=0 | | n+2n-7=17 | | x+70=88 | | 7y-3y-6=14 | | 1/6-1/4=p | | y-15=9 | | x-82=7 |

Equations solver categories