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

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


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

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

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

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

Combine like terms: -6x + 5x = -1x
(-10 + -1x + 3x2) = 0

Solving
-10 + -1x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -3x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve:

Simplifying
-5 + -3x = 0

Solving
-5 + -3x = 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 + -3x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = 0 + 5
-3x = 0 + 5

Combine like terms: 0 + 5 = 5
-3x = 5

Divide each side by '-3'.
x = -1.666666667

Simplifying
x = -1.666666667

Subproblem 2
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
Solution
x = {-1.666666667, 2}

See similar equations:

| 2x^2+8x-124=0 | | 3(7x+1)=5 | | 21x+3=5 | | 6x+16=-188-10x | | (13-z)z= | | (4x+7)(x^2+2x-3)= | | s^2+11s=-30 | | s^2+11s=30 | | 3x^3-192= | | x^3-192= | | 3x-192= | | 35000+250x=17615+550x | | 49r^2-56r+16= | | 17615+550x=74815 | | s^4-1= | | 17615+550x= | | 3a^2-8a-3= | | x^2-49=7 | | -6x^2y^2+5xy^2+6y^2= | | 4y^2=64 | | 14n-215=6n-7 | | 25x^2-5x=0 | | 2r^2+11r+5= | | 14-9x=30-23x | | -67-7x=10+18 | | (x-1)(3x-4)=0 | | a^2+17ag+72g^2= | | 3x^2+88=4x^2+3x | | 0.25x+0.10(x-4)=11.60 | | 24x^2+20x^2= | | 5x^3+9y^2=2x | | 4x^3+25y=-20y^2 |

Equations solver categories