(x+3)(5x-4)=0

Simple and best practice solution for (x+3)(5x-4)=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-4)=0 equation:


Simplifying
(x + 3)(5x + -4) = 0

Reorder the terms:
(3 + x)(5x + -4) = 0

Reorder the terms:
(3 + x)(-4 + 5x) = 0

Multiply (3 + x) * (-4 + 5x)
(3(-4 + 5x) + x(-4 + 5x)) = 0
((-4 * 3 + 5x * 3) + x(-4 + 5x)) = 0
((-12 + 15x) + x(-4 + 5x)) = 0
(-12 + 15x + (-4 * x + 5x * x)) = 0
(-12 + 15x + (-4x + 5x2)) = 0

Combine like terms: 15x + -4x = 11x
(-12 + 11x + 5x2) = 0

Solving
-12 + 11x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -1x)(4 + -5x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8

Solution

x = {-3, 0.8}

See similar equations:

| 2.5p=q-1.6 | | 6r^2+36r+48=0 | | a=1.2b | | -6x+7=3-(x+6) | | p^2-2p-35=0 | | -14-5m=-3(6+2m) | | 6x-15=75 | | 3y+7=x | | 18x^2-39x+18=0 | | x/3=5/1 | | X+3/4=6 | | 24x^2+48x-126=0 | | -8*X^2+13=4 | | 4*X^2-14=5 | | 6(1+5r)+1=7+6r | | 241/40=4/5d+d+5/8 | | 1/2w-1/2+4/5w=-86/55 | | -22/9=-1/6w-5w+1 | | -1-3k+7k=3 | | 2m+7-1/5m=44/5 | | X^2+6=9 | | 2d+9-6d=21 | | 2/7k+1/5+3/4k=463/140 | | 2-4/7d-1/2d=89/7 | | 37/40=-4x+3x+1/8 | | 429/70=-6m-1/3m+7/10 | | 8-3d+d=28 | | 1/4+6/7d-d=19/28 | | n-4*10=8 | | 10+6/7k-4k=48/7 | | n-8*3=9 | | 8+4n-6n=28 |

Equations solver categories