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

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


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

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

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

Multiply (5 + 2x) * (-5 + 3x)
(5(-5 + 3x) + 2x * (-5 + 3x)) = 0
((-5 * 5 + 3x * 5) + 2x * (-5 + 3x)) = 0
((-25 + 15x) + 2x * (-5 + 3x)) = 0
(-25 + 15x + (-5 * 2x + 3x * 2x)) = 0
(-25 + 15x + (-10x + 6x2)) = 0

Combine like terms: 15x + -10x = 5x
(-25 + 5x + 6x2) = 0

Solving
-25 + 5x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -2x)(5 + -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 '(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
Solution
x = {-2.5, 1.666666667}

See similar equations:

| 10-6y=-20 | | y^2-(x^3-432)=0 | | 25=3(5-2x)+10 | | 8r^3=72r | | 3x^2-22x=-2x^2-3x-12 | | y^2=x^3-432 | | (8x-31)-(-8x-17)=-(-2x-28) | | x-6y=-1 | | y^3-8y^2+12y=0 | | 20y=15y^2 | | y-6x=-1 | | 6x-y=-1 | | 3x+8y=-29 | | (x+2)(x+1)=1 | | 7x+5x-6x-5=1 | | 3m+8n=-29 | | 3(12x+24)=4(9x-6) | | 25s^2+80s+64=0 | | 8m^2-44m+48= | | 2t^2-11t+7=0 | | -a^2=9-6a | | 6x+38=16x-72 | | n^3-6n^2-n-6=0 | | 6p-22=8p | | -5y^2+45=0 | | 4x^2+26x-48= | | 2s^2-18s=0 | | d^2+3d+1.5=0 | | 5x^3−7x+2= | | 48x^2+22x-15= | | -4c^2+19c-21= | | 18x^2-27x-5= |

Equations solver categories