0=(4x-1)(3x-10)

Simple and best practice solution for 0=(4x-1)(3x-10) 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-1)(3x-10) equation: 


Simplifying
0 = (4x + -1)(3x + -10)

Reorder the terms:
0 = (-1 + 4x)(3x + -10)

Reorder the terms:
0 = (-1 + 4x)(-10 + 3x)

Multiply (-1 + 4x) * (-10 + 3x)
0 = (-1(-10 + 3x) + 4x * (-10 + 3x))
0 = ((-10 * -1 + 3x * -1) + 4x * (-10 + 3x))
0 = ((10 + -3x) + 4x * (-10 + 3x))
0 = (10 + -3x + (-10 * 4x + 3x * 4x))
0 = (10 + -3x + (-40x + 12x2))

Combine like terms: -3x + -40x = -43x
0 = (10 + -43x + 12x2)

Solving
0 = 10 + -43x + 12x2

Solving for variable 'x'.

Combine like terms: 0 + -10 = -10
-10 + 43x + -12x2 = 10 + -43x + 12x2 + -10 + 43x + -12x2

Reorder the terms:
-10 + 43x + -12x2 = 10 + -10 + -43x + 43x + 12x2 + -12x2

Combine like terms: 10 + -10 = 0
-10 + 43x + -12x2 = 0 + -43x + 43x + 12x2 + -12x2
-10 + 43x + -12x2 = -43x + 43x + 12x2 + -12x2

Combine like terms: -43x + 43x = 0
-10 + 43x + -12x2 = 0 + 12x2 + -12x2
-10 + 43x + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-10 + 43x + -12x2 = 0

Factor a trinomial.
(-10 + 3x)(1 + -4x) = 0


Subproblem 1
Set the factor '(-10 + 3x)' equal to zero and attempt to solve:

Simplifying
-10 + 3x = 0

Solving
-10 + 3x = 0

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

Add '10' to each side of the equation.
-10 + 10 + 3x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = 0 + 10
3x = 0 + 10

Combine like terms: 0 + 10 = 10
3x = 10

Divide each side by '3'.
x = 3.333333333

Simplifying
x = 3.333333333

Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 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 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25
Solution
x = {3.333333333, 0.25}

See similar equations:

| 20q+-18+-q=14 | | 0=[(4x-1)(3x-1)] | | 20q-18-q=14 | | 4(8)+6y=20 | | 3x^2-25x+7=0 | | 13x+5=18x-5 | | -20p+20p+-12p=-12 | | 4x+23=10x-1 | | -80-15v=-42 | | 18x-5=16x+7 | | (4x+23)+(10x-1)=180 | | -[4x+(6x+5)]=1-(5x+8) | | 2(6+b)=28 | | 13q+2q+-14+1=17 | | 3k^2+8k-16=0 | | 3y+x=33 | | 3x^3+2x-28=0 | | 8q+3q+-6q+-2q+-6q=18 | | 2n-n=16 | | -8x=-6-7x | | 12n^2-75=0 | | 13p+-9p+5p-13p=14 | | -2j+16j+-17j+2j=9 | | 6+7x=9x-8 | | -5.7=k+(-3.1) | | 8h-7h=3 | | x^4+4x^2+4-X^2-2=12 | | -200.00+-150.00=2 | | 0.22f+0.22f=13.2+0.22f | | 6(-8)+4y=-16 | | -5x=-4x-6 | | 7x-17=x+6 |

Equations solver categories