(2x+3)(3x-7)=0

Simple and best practice solution for (2x+3)(3x-7)=0 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+3)(3x-7)=0 equation: 


Simplifying
(2x + 3)(3x + -7) = 0

Reorder the terms:
(3 + 2x)(3x + -7) = 0

Reorder the terms:
(3 + 2x)(-7 + 3x) = 0

Multiply (3 + 2x) * (-7 + 3x)
(3(-7 + 3x) + 2x * (-7 + 3x)) = 0
((-7 * 3 + 3x * 3) + 2x * (-7 + 3x)) = 0
((-21 + 9x) + 2x * (-7 + 3x)) = 0
(-21 + 9x + (-7 * 2x + 3x * 2x)) = 0
(-21 + 9x + (-14x + 6x2)) = 0

Combine like terms: 9x + -14x = -5x
(-21 + -5x + 6x2) = 0

Solving
-21 + -5x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -2x)(7 + -3x) = 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 '(7 + -3x)' equal to zero and attempt to solve:

Simplifying
7 + -3x = 0

Solving
7 + -3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 0 + -7
-3x = 0 + -7

Combine like terms: 0 + -7 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333
Solution
x = {-1.5, 2.333333333}

See similar equations:

| 2x+3y-z*z=2xy | | -11=x-(-12) | | z^2+11z=18 | | 9k-[7-5(7k-3)]=1 | | 8x+6-9x=-x-13 | | [1-4x]=5x+1 | | 10(w-6)=2(5w+8) | | 5x+16=1-x | | -18=-9a | | 1/2+2/5= | | -2y-10=5y+8 | | 4x^2-4x-17=0 | | 2x-1+x=5+3 | | -18=9a | | -2=5w+6-3w+4 | | 7-6a=6+7a | | -8=-9a | | -x+2=4x-14 | | 3(x-5)=8(x+12) | | 1+x+5x-6=1 | | 6x+25x-(3+2x)=6+3x | | x-3xy=1 | | 4(2-2x)+7x=5(3+2x) | | 5m-(4m-1)=12 | | .5m=.545454545454 | | 6x-4x=48 | | 6-1.5=y | | 0.5+0.3x=0.7x-0.3 | | -2(n+2)= | | -4f+25=5(f+5) | | 0.75(x-7)=x+50 | | 18x^2+75x+75= |

Equations solver categories