(3x+4)(5-2x)=0

Simple and best practice solution for (3x+4)(5-2x)=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 (3x+4)(5-2x)=0 equation: 


Simplifying
(3x + 4)(5 + -2x) = 0

Reorder the terms:
(4 + 3x)(5 + -2x) = 0

Multiply (4 + 3x) * (5 + -2x)
(4(5 + -2x) + 3x * (5 + -2x)) = 0
((5 * 4 + -2x * 4) + 3x * (5 + -2x)) = 0
((20 + -8x) + 3x * (5 + -2x)) = 0
(20 + -8x + (5 * 3x + -2x * 3x)) = 0
(20 + -8x + (15x + -6x2)) = 0

Combine like terms: -8x + 15x = 7x
(20 + 7x + -6x2) = 0

Solving
20 + 7x + -6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -2x)(4 + 3x) = 0


Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

Subproblem 2
Set the factor '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 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 + 3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 0 + -4
3x = 0 + -4

Combine like terms: 0 + -4 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333
Solution
x = {2.5, -1.333333333}

See similar equations:

| cos(y)=7*cos(x) | | 150+3x-15=180 | | 4X+6=12-3X | | 3x+y-5z=37 | | x=(1/4x) | | 2x/10=20 | | (x^4/-3z^3)^4 | | (3x+y)(4x-2y)= | | 70/150 | | 9-2y=3x | | -4-(3-4n)=5+6n | | 3+x=2-3x | | 4x^2+41x-33=0 | | x+2x+1=3x+2+5 | | x+(90-x)=180 | | 2(p+9)=-10 | | (18x^2)+26x+1=0 | | 4x^3-16x^2+27=0 | | 30=12x-48 | | 3+9n=2 | | -2(s+5)=12 | | p-(-37*0)=-51 | | 13y^2+4y-224=0 | | cosx+2cosx*sinx=0 | | 6-(6+c)=5(c-1) | | -15(h-0/2)=60 | | 2-4[4-(3y-4)]= | | 67+0=a | | 8(9c-1)-4=70c+8 | | 3x+4=b | | 2=8−6/4x | | 19(y+z)= |

Equations solver categories