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

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


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

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

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

Multiply (-4 + 3x) * (3 + 4x)
(-4(3 + 4x) + 3x * (3 + 4x)) = 0
((3 * -4 + 4x * -4) + 3x * (3 + 4x)) = 0
((-12 + -16x) + 3x * (3 + 4x)) = 0
(-12 + -16x + (3 * 3x + 4x * 3x)) = 0
(-12 + -16x + (9x + 12x2)) = 0

Combine like terms: -16x + 9x = -7x
(-12 + -7x + 12x2) = 0

Solving
-12 + -7x + 12x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(-3 + -4x)' equal to zero and attempt to solve:

Simplifying
-3 + -4x = 0

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

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

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

Divide each side by '-4'.
x = -0.75

Simplifying
x = -0.75

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 = {-0.75, 1.333333333}

See similar equations:

| 9+1-6n+4n=-8+n | | 5x+11=7x-7 | | 7n+4=6n+10 | | (8n+1)(6n-3)=0 | | 11-m=m-3 | | a=2.6+-0.6b | | 10-v+4-4v=v-2 | | 4d-3d=5d-28 | | -8n+4n=7+2n+n | | (7x-6)(5x+6)=0 | | 1+5x=-8+x+x | | 5a+3b=13 | | 4t-2t=6 | | (6n^2-6n-5)(7n^2+6n-5)=0 | | 10z-22=8z-10 | | 3(x-3)=3(x-6) | | 3u^2+2=0 | | (7r^2-6r-6)(2r-4)=0 | | (4a+2)(6a^2-a+2)=0 | | 6x+7y=41 | | (4m+7n)+(-3m+12)=0 | | 4(x-2)=4(6-x) | | x-6=x+14 | | (6k+5)(5k+5)=0 | | 15+.50x=25+.45x | | 5t-20=65 | | 4(x-6)=46 | | w+3w=4w+2 | | X^4-14x^2-51=0 | | 4(x+3)=46 | | -x-6=x+14 | | 16x^3+128=0 |

Equations solver categories