(2x+1)(3x-5)=15

Simple and best practice solution for (2x+1)(3x-5)=15 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)=15 equation: 


Simplifying
(2x + 1)(3x + -5) = 15

Reorder the terms:
(1 + 2x)(3x + -5) = 15

Reorder the terms:
(1 + 2x)(-5 + 3x) = 15

Multiply (1 + 2x) * (-5 + 3x)
(1(-5 + 3x) + 2x * (-5 + 3x)) = 15
((-5 * 1 + 3x * 1) + 2x * (-5 + 3x)) = 15
((-5 + 3x) + 2x * (-5 + 3x)) = 15
(-5 + 3x + (-5 * 2x + 3x * 2x)) = 15
(-5 + 3x + (-10x + 6x2)) = 15

Combine like terms: 3x + -10x = -7x
(-5 + -7x + 6x2) = 15

Solving
-5 + -7x + 6x2 = 15

Solving for variable 'x'.

Reorder the terms:
-5 + -15 + -7x + 6x2 = 15 + -15

Combine like terms: -5 + -15 = -20
-20 + -7x + 6x2 = 15 + -15

Combine like terms: 15 + -15 = 0
-20 + -7x + 6x2 = 0

Factor a trinomial.
(-4 + -3x)(5 + -2x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {-1.333333333, 2.5}

See similar equations:

| 5(4b+1)=85 | | -5(4x+3)+6x=13 | | 2(7x-2)-1=14x-5 | | 3(2x-(6-5y+5x)+7y)= | | 70=-5(6y+4) | | 2x+3=-4x+21 | | 45+61x+4=2 | | 0.10(x+5.00)=2.4 | | -7-5x+6=-18x+13-5x | | 500+35x=55 | | 15+0.75x+13=0.50 | | -8-3x+5=-14x+3-3x | | (2x-3)(x-1)= | | 3(3c-1)-6=7c+7 | | 2x+3x=-4+21 | | 5(x^3+2)+11=59 | | 22+6x+5=12 | | -5-5x+3=-18x+6-5x | | 400=lw*5 | | 0.14(y-5)+0.12y=0.10y-0.05(30) | | (4p^3+8p^2-6)+(2p^3-8p+9)= | | -2+y+19=4y+23 | | 15+75x=13-0.75x | | -5m+39-6(m-2)=8m-(3m-7)-9m+9 | | log(x^2+11x+4)=3 | | 1+0.80-2=0.75 | | 30+22x=80 | | 15x=4x+88 | | 7v-3=6v+4 | | 7x+3-8x=6 | | 2x-4(-x+5)=y | | 14+2x=1.50 |

Equations solver categories