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


Subproblem 1
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

Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

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

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

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

Simplifying
x = -5
Solution
x = {1.5, -5}

See similar equations:

| Z+11=25 | | Z+11=209 | | 11y=209 | | 2/5×3/9 | | 9x^2-72x-16y^2-32=16 | | P/90=8/18 | | Y+8(y-9)= | | y=3x(x-5) | | Z+10=12 | | -14g=406 | | -12x-8=15x-2 | | 2/100=b/200 | | 2+12=25 | | -60=-15h | | -4=3m+2 | | Y-17=3 | | -68=17c | | 2x^2+28x+20=0 | | 4x^2-2x+4y^2+16y+13=0 | | 25=-2+12 | | 8(5-1)= | | 42=-3y | | 0.4(x)+0.25(124-x)=38.44 | | -180=12f | | -13z=-65 | | 5n=8-9n | | 7x+5y+6z-4x+4z-8= | | 6-3(x-1)=7 | | (0.02-x)(2.5)=0.0125+x | | -12a=-39 | | 4x+10+x-30=180 | | Z+10=19 |

Equations solver categories