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

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


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

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

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

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

Combine like terms: 3x + -10x = -7x
0 = (-15 + -7x + 2x2)

Solving
0 = -15 + -7x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + 15 = 15
15 + 7x + -2x2 = -15 + -7x + 2x2 + 15 + 7x + -2x2

Reorder the terms:
15 + 7x + -2x2 = -15 + 15 + -7x + 7x + 2x2 + -2x2

Combine like terms: -15 + 15 = 0
15 + 7x + -2x2 = 0 + -7x + 7x + 2x2 + -2x2
15 + 7x + -2x2 = -7x + 7x + 2x2 + -2x2

Combine like terms: -7x + 7x = 0
15 + 7x + -2x2 = 0 + 2x2 + -2x2
15 + 7x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
15 + 7x + -2x2 = 0

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


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

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

Subproblem 2
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
Solution
x = {5, -1.5}

See similar equations:

| 8b-7=7b-2b | | 9x+7-4x=42 | | 3y(2y-5)(y+4)=0 | | -4(3x+8)=36 | | .33333333333x+4=.16666666666 | | 0=(7x+2)(x-2) | | 5900-30x=500 | | 3x+8+9= | | -7(5x-6)=-3(-9x-11)+9 | | 1k^2-8k=0 | | -3(3w-3)+5w=5+2(2w-1) | | 2x-3(1)=-3 | | 13c+23=17c-7 | | .5(r-3)=-r-2 | | 4s+5(4)=54 | | -10x+2=-70 | | y=(7x+2)(x-2) | | -15+4x=13 | | 3x^2+2-7=0 | | 5(3n-1)=(7n+2)+3 | | 7+10x-x-(-x)= | | 2(x-4)=-28 | | 3x+8+2x+4= | | -4.8=2x+25.2 | | 3(6a-2)-17a=9-3 | | 10xb=178 | | v+7-2(-7v-2)=7(v-1) | | 10b=178 | | .6(15x-10)=-15 | | 5t+3(y-8)=3(y+2)-3 | | 5t+3(y-8)=3(y+2) | | 17=5k+2 |

Equations solver categories