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

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


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

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

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

Multiply (5 + x) * (-8 + 3x)
(5(-8 + 3x) + x(-8 + 3x)) = 0
((-8 * 5 + 3x * 5) + x(-8 + 3x)) = 0
((-40 + 15x) + x(-8 + 3x)) = 0
(-40 + 15x + (-8 * x + 3x * x)) = 0
(-40 + 15x + (-8x + 3x2)) = 0

Combine like terms: 15x + -8x = 7x
(-40 + 7x + 3x2) = 0

Solving
-40 + 7x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -1x)(8 + -3x) = 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 '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 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 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667

Solution

x = {-5, 2.666666667}

See similar equations:

| x^2+2x-7=8 | | 7xy+xy^2= | | Bx^3-(3b+2)x^2-(10b-6)x+20=0 | | 10(z+8)=z+6 | | 8y+7=10y-3 | | 2+3x^2=5x | | 3(3x+4)-2(x+1)=30 | | 4/x^2=-1 | | 7=2-(4y+7) | | (3x)+(2x)=6 | | 1.5x=x+60 | | log(x+9)=2+log(x) | | 1y-1=13 | | 6+35x=21x+12 | | -9-7=6y+4y | | 5x+65+33=180 | | 2y-6=6y+30 | | 3+7x(4-8)= | | 9(2-2x)=-(7x-1) | | (b^3)^7/(b^2)^5=b^11 | | 0.131=x+(0.11-x)(1.28) | | 5(4x+9)=11x-3 | | 1171=c/6 | | 9w=4770 | | v/8=7 | | b*3=9 | | 12p^2+4p+1=0 | | 60=(N-2) | | 12+g=20 | | 6y+4=2y | | 0.134=0.055+(x-0.055)*1.6 | | 8-5=2 |

Equations solver categories