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

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


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

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

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

Multiply (4 + 3x) * (-4 + 5x)
(4(-4 + 5x) + 3x * (-4 + 5x)) = 0
((-4 * 4 + 5x * 4) + 3x * (-4 + 5x)) = 0
((-16 + 20x) + 3x * (-4 + 5x)) = 0
(-16 + 20x + (-4 * 3x + 5x * 3x)) = 0
(-16 + 20x + (-12x + 15x2)) = 0

Combine like terms: 20x + -12x = 8x
(-16 + 8x + 15x2) = 0

Solving
-16 + 8x + 15x2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

Subproblem 2
Set the factor '(4 + -5x)' equal to zero and attempt to solve:

Simplifying
4 + -5x = 0

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

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

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

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8
Solution
x = {-1.333333333, 0.8}

See similar equations:

| 12x^4+24x^3-6x= | | 0-2x=5 | | 5p+30= | | -6-7=10x+5-9x | | 194=11x+62 | | 6(y-2)=2y-32 | | 5+4(x+1)=5 | | 40x-4=x-5 | | 2x+4=(5x+1)-2 | | 8x-40=0 | | -1-2x=5 | | 2x+x-3=51 | | 5x=y+-23 | | (9x-8)(7x+8)=0 | | -90x-10= | | 3+8b=9 | | 4x+9=33-3x+x | | 40x-4=x+5 | | -1(4t-13)=6(t+11) | | -5+(10b-2)=31 | | 3y-1=5 | | ln(5x)+ln(2+x)=4 | | -5x+4(2x-2)=1 | | 2x+4=12-1x-5 | | 6x+3y=-15 | | (2x-11)-(x-6)=3 | | (x+1)(x-1)=1 | | x=1/2*(180-x)-12 | | -6m-42= | | 37-(2c+3)=2(c+7)+c | | (x+5)(4-7x)=(2x-9)(9x+5) | | 80=20+0.15m |

Equations solver categories