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

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


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

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

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

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

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

Solving
-10 + 11x + 6x2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

Subproblem 2
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
Solution
x = {-2.5, 0.6666666667}

See similar equations:

| x^2+16x+71=y | | 2+7x=6x | | 14x-7=63 | | 7x+10=6x+25 | | -5(3t-3)+2t=3t-2 | | z^2-14z=15 | | a/20+4/15=a/15 | | 5-1/3x=1/12 | | 258-3y=82 | | 0.20y+0.18y=0.16y | | 4x-10=-9x+18 | | -2x-3=-8 | | m^2/12=m/4+1/3 | | -(7p-5)+4p-7=-2 | | 11/12=w/15 | | 2b+6=4b-39 | | g^2-4g-3=0 | | 11(v+1)-3v=4(2v+1)-13 | | 7r-4=3r+60 | | 0.18(y-4)+0.16=0.04y-2.7 | | 9x+2=-70 | | 6(x-9)=54 | | 0.92y+11.76-0.98y=11.52 | | 6(x-10)+3(2x-7)=-45 | | -12x+3=-45 | | -4x+-9x+17=13+12 | | 258-3x=82 | | 3u^4-10u^2+4=0 | | w^2-28w=-31 | | 10b/2b | | z/4=25 | | 6x/(x-6)=9+2x2/(x-6) |

Equations solver categories