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

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


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

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

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

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

Combine like terms: 12x + -5x = 7x
(-15 + 7x + 4x2) = 0

Solving
-15 + 7x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -1x)(5 + -4x) = 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 '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {-3, 1.25}

See similar equations:

| .33(24p-66)=3p+43 | | 19-(-8)-(-14)= | | 0=.5x-1 | | X+x+12=64 | | 5x-5*-10=25 | | 5x-5*0=25 | | 5*0-5y=25 | | x^3-7x^2+36=0 | | 5=11 | | 2x+5=68 | | 15+49(m-2)=21 | | n+3.9=10.2 | | s-8=11 | | 3(x+6)+4(2x-5)=0 | | 0.125(w-7)=5 | | 2x+8=4x | | 2(3-4y)=-10 | | 0.333333333(m+6)=4 | | 20-5=1x+21 | | 48=2a+4a | | 0.25(d-5)=1 | | 15y=2(7y-4) | | -a+9=25 | | 15=-z+8 | | -1=-n-3 | | -9=-a+16 | | 4=3x-14 | | -y-52=33 | | -p-24=-8 | | 4(x+8)=24-8x | | 6x+1-5x=7.2 | | 2x^4+x^2=4 |

Equations solver categories