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

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


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

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

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

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

Combine like terms: -4x + 12x = 8x
(-4 + 8x + 12x2) = 0

Solving
-4 + 8x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + 2x + 3x2) = 0

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

Ignore the factor 4.

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

Simplifying
-1 + -1x = 0

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

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

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

Divide each side by '-1'.
x = -1

Simplifying
x = -1

Subproblem 2
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
Solution
x = {-1, 0.3333333333}

See similar equations:

| 3r+18/12=2r-12/2 | | (x/3)-10=(2/3)x+5 | | 600=2500(0.06) | | 25=-6x+14 | | 2n+12=24 | | 2ln(x+1)-ln(x-4)=ln(x-1) | | 2(u-5)+15=3(u-4)+10 | | 6ln=-ln | | -1/3=y-4/5 | | 180=7/X | | 180=(7/X)+X | | 0,5(2-4x)=3-x | | t^2+16=7 | | 3(1-x)-(1-2x)=9 | | x^2-2x+1/3 | | 7+5x(-3)-(6-2)2= | | -(5x-3)+3x-7=-4 | | 2(x-1/2)-x+3=3 | | x^2+x*272=0 | | 6h-34=(-6h)+14 | | y+1=7x+x^2 | | 5x+23x+10= | | 8x/12+11 | | 6(x-5)=3x+12 | | 2/3x-1/4x=10 | | 3+2x=-2 | | (w+3)/4=(w-2)/2 | | 2x^2+28x+98= | | 12(2x-6)=-6 | | (m+6)(m-7)= | | 2x/3*3x/5 | | 4(5x+4)=7(3x-16)+7 |

Equations solver categories