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

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


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

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

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

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

Combine like terms: 12x + -10x = 2x
(-20 + 2x + 6x2) = 0

Solving
-20 + 2x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + x + 3x2) = 0

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

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3x = 0 + -5

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

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

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {-2, 1.666666667}

See similar equations:

| -5x-7+9x= | | 7x+50=99 | | 15+4x=23 | | 0.6x^2-36x=0 | | (x-13)(x-13)=20 | | 5x-2=2x-5 | | 11w-16w=20 | | 8x^2-4x=18 | | x+(x-3)=21 | | BX=-7 | | 22x-5(3-x)=4(1-x)-7(2-x) | | 3x+2(0)=8 | | 3x-2(0)=8 | | 9(11-k)=(3k-9) | | 3(0)-2y=8 | | b=24b | | -.25a+1.75a=-21 | | x+9/18=12/72 | | 2*3x=17 | | 6a+6=30 | | 2/3(4x-1)=-22 | | -2.7=-3+t+24 | | x/4+2=-3 | | 4(x-5)-2x=3x+10 | | 20x=240 | | 11x+37=7 | | 3x+5=X | | 4(x^2-2x+1)-3=0 | | d=3ac | | 7t-15=5+11 | | 7.12=2*3.14R | | n-0.33=0.4 |

Equations solver categories