(X-3)(5X+8)=0

Simple and best practice solution for (X-3)(5X+8)=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-3)(5X+8)=0 equation: 


Simplifying
(X + -3)(5X + 8) = 0

Reorder the terms:
(-3 + X)(5X + 8) = 0

Reorder the terms:
(-3 + X)(8 + 5X) = 0

Multiply (-3 + X) * (8 + 5X)
(-3(8 + 5X) + X(8 + 5X)) = 0
((8 * -3 + 5X * -3) + X(8 + 5X)) = 0
((-24 + -15X) + X(8 + 5X)) = 0
(-24 + -15X + (8 * X + 5X * X)) = 0
(-24 + -15X + (8X + 5X2)) = 0

Combine like terms: -15X + 8X = -7X
(-24 + -7X + 5X2) = 0

Solving
-24 + -7X + 5X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-8 + -5X)(3 + -1X) = 0


Subproblem 1
Set the factor '(-8 + -5X)' equal to zero and attempt to solve:

Simplifying
-8 + -5X = 0

Solving
-8 + -5X = 0

Move all terms containing X to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + -5X = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -5X = 0 + 8
-5X = 0 + 8

Combine like terms: 0 + 8 = 8
-5X = 8

Divide each side by '-5'.
X = -1.6

Simplifying
X = -1.6

Subproblem 2
Set the factor '(3 + -1X)' equal to zero and attempt to solve:

Simplifying
3 + -1X = 0

Solving
3 + -1X = 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 + -1X = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1X = 0 + -3
-1X = 0 + -3

Combine like terms: 0 + -3 = -3
-1X = -3

Divide each side by '-1'.
X = 3

Simplifying
X = 3
Solution
X = {-1.6, 3}

See similar equations:

| 2p^2+1p-4=0 | | 3x+18=2x-18 | | 11x+2=13x(14) | | 4x+3=-3+2x+12 | | 4x-8-x-11= | | x+y=58 | | 6x+8y=320 | | 21-7x=4x-123 | | 8+8.2= | | 4x+2y=180 | | 8(10-4y)+15=(-y-7)(3) | | 4(8c-1)-16=30c+4 | | 7x^3+63x^2+7x+63= | | -5(5n-4)+4n= | | 4x-30=x+18 | | 5x-11-9x+6=19+18x | | 8(4x-1)-32x= | | 4s^2+36=-81 | | 8x+6x+2x+9= | | 3(y-2)=y-6 | | z=yr | | 7x^2+15x+2=0 | | 1+x=x*x*x | | -1-9=8x+7-7x | | 15z^2+13z+2=0 | | 4*n=-12 | | 4xn=-12 | | 4x-2+3x=12 | | 9x-5x-2x=6 | | s-12=-44 | | 2x+5=5+2x | | 3p+2=9+2p |

Equations solver categories