0=(4x+5)(3x-1)

Simple and best practice solution for 0=(4x+5)(3x-1) 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 0=(4x+5)(3x-1) equation: 


Simplifying
0 = (4x + 5)(3x + -1)

Reorder the terms:
0 = (5 + 4x)(3x + -1)

Reorder the terms:
0 = (5 + 4x)(-1 + 3x)

Multiply (5 + 4x) * (-1 + 3x)
0 = (5(-1 + 3x) + 4x * (-1 + 3x))
0 = ((-1 * 5 + 3x * 5) + 4x * (-1 + 3x))
0 = ((-5 + 15x) + 4x * (-1 + 3x))
0 = (-5 + 15x + (-1 * 4x + 3x * 4x))
0 = (-5 + 15x + (-4x + 12x2))

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

Solving
0 = -5 + 11x + 12x2

Solving for variable 'x'.

Combine like terms: 0 + 5 = 5
5 + -11x + -12x2 = -5 + 11x + 12x2 + 5 + -11x + -12x2

Reorder the terms:
5 + -11x + -12x2 = -5 + 5 + 11x + -11x + 12x2 + -12x2

Combine like terms: -5 + 5 = 0
5 + -11x + -12x2 = 0 + 11x + -11x + 12x2 + -12x2
5 + -11x + -12x2 = 11x + -11x + 12x2 + -12x2

Combine like terms: 11x + -11x = 0
5 + -11x + -12x2 = 0 + 12x2 + -12x2
5 + -11x + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
5 + -11x + -12x2 = 0

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


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

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

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

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

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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 = {0.3333333333, -1.25}

See similar equations:

| 2x-9+8x-11=180 | | 5x-7=5(x-7) | | 18-12x=-12x-9 | | 4m+4=44M | | 4(m-2)=244 | | 4[7-(5x-7)]+3x=0 | | -9+5x-x=15 | | 7x-5-x=-23 | | 5-3x-x=21 | | 94=4(3.14)r^2 | | w^2+4w-48=0 | | 10x-83=-8x+97absolute | | Y^2-2y-4x=5 | | 3(y-1)=1 | | 14+3(r)=2 | | 94=4pir^2 | | 10x-83=-8x+97 | | 4r+1= | | 10x-83l=-8x+97 | | 5(2r)=7 | | 1-3x+4x=4 | | 1=-2x+x-8 | | 3x^2+6x-20=0 | | 2+ln(x+3)=4 | | 3*cos(2*x-1)=0 | | 2x+2(x-4)=28 | | 8+5+r=3 | | 2+ln(x+3)=2 | | 4y-15=29 | | x-3/2+1=x | | (6*r)-9=12 | | 2+on(x+3)=2 |

Equations solver categories