(5x+3)(2x-4)=

Simple and best practice solution for (5x+3)(2x-4)= 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 (5x+3)(2x-4)= equation:


Simplifying
(5x + 3)(2x + -4) = 0

Reorder the terms:
(3 + 5x)(2x + -4) = 0

Reorder the terms:
(3 + 5x)(-4 + 2x) = 0

Multiply (3 + 5x) * (-4 + 2x)
(3(-4 + 2x) + 5x * (-4 + 2x)) = 0
((-4 * 3 + 2x * 3) + 5x * (-4 + 2x)) = 0
((-12 + 6x) + 5x * (-4 + 2x)) = 0
(-12 + 6x + (-4 * 5x + 2x * 5x)) = 0
(-12 + 6x + (-20x + 10x2)) = 0

Combine like terms: 6x + -20x = -14x
(-12 + -14x + 10x2) = 0

Solving
-12 + -14x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + -7x + 5x2) = 0

Factor a trinomial.
2((-3 + -5x)(2 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve:

Simplifying
-3 + -5x = 0

Solving
-3 + -5x = 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 + -5x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = 0 + 3
-5x = 0 + 3

Combine like terms: 0 + 3 = 3
-5x = 3

Divide each side by '-5'.
x = -0.6

Simplifying
x = -0.6

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-0.6, 2}

See similar equations:

| -3/4b=2 | | 2a+2ab= | | 3p+8=1 | | x/6-4=-6 | | -5/6+g=17/3 | | (x+3)+1/2x=20 | | 5(x+4)/3=2x-2 | | 3.1x=22.94 | | -11/12w=-1 | | y^123=x+2 | | 7x-3x=14 | | 0.80x+0.10(140)=0.40(49) | | 36x^3y+33x^2y+6xy=0 | | X+2=2(4-x) | | x+13-2x=0 | | -16t^2+48t+864=t | | x+3+x=20 | | 4/9+y=4 | | 60-6x=8x-18 | | 3/4x+5/4=-7/4 | | 42+(-51)= | | 8h-19=69 | | x^14=y^152+362 | | 60x-6=8x-18 | | 118-3x=15x+16 | | 1/3(2x-8)=4 | | x^15+y^14=362 | | -1/3p=1/4 | | 1/x+3/4=13/12 | | w(w-3)=70 | | -2x-5/3=13/3 | | 5x+2=3x-7 |

Equations solver categories