(2x-5)(3x+2)=0

Simple and best practice solution for (2x-5)(3x+2)=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-5)(3x+2)=0 equation: 


Simplifying
(2x + -5)(3x + 2) = 0

Reorder the terms:
(-5 + 2x)(3x + 2) = 0

Reorder the terms:
(-5 + 2x)(2 + 3x) = 0

Multiply (-5 + 2x) * (2 + 3x)
(-5(2 + 3x) + 2x * (2 + 3x)) = 0
((2 * -5 + 3x * -5) + 2x * (2 + 3x)) = 0
((-10 + -15x) + 2x * (2 + 3x)) = 0
(-10 + -15x + (2 * 2x + 3x * 2x)) = 0
(-10 + -15x + (4x + 6x2)) = 0

Combine like terms: -15x + 4x = -11x
(-10 + -11x + 6x2) = 0

Solving
-10 + -11x + 6x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(-2 + -3x)' equal to zero and attempt to solve:

Simplifying
-2 + -3x = 0

Solving
-2 + -3x = 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 + -3x = 0 + 2

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

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

Divide each side by '-3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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 = {-0.6666666667, 2.5}

See similar equations:

| 0.10(x-24)=64 | | 1-7x=0 | | 0.25x+6=42 | | 7-11x-6x^2= | | 0.8(x-40)=256.64 | | 2m(m+3)= | | 4m+12=0 | | 9x+5=29+x | | 10y^2-4y+7= | | 6x^2+36x+54= | | 0.083x+8=11 | | x^7-5x^6-2x^5= | | 180=7m+2m | | 48=-6(x-7) | | x^3+5x^2+2x+10= | | m^2-m-4=0 | | 9f-3=f+5 | | 0.125x+8=14 | | X+13=4-2x | | 0=-x^2+6x-13 | | .054+0.16R=0.26R+0.18 | | 8x+19.95=49.95 | | 5y+10x=100 | | 9.2=1.2M-2.8 | | 10x+5y=100 | | 5m(2n-0.75m)= | | 0.25(x-15)=62 | | z^4-36=0 | | 15R-3R+R=28-2 | | 0.80x+70=330 | | -x+5=1 | | 8y+4=-3x |

Equations solver categories