(3x+6)(4x-5)=

Simple and best practice solution for (3x+6)(4x-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 (3x+6)(4x-5)= equation: 


Simplifying
(3x + 6)(4x + -5) = 0

Reorder the terms:
(6 + 3x)(4x + -5) = 0

Reorder the terms:
(6 + 3x)(-5 + 4x) = 0

Multiply (6 + 3x) * (-5 + 4x)
(6(-5 + 4x) + 3x * (-5 + 4x)) = 0
((-5 * 6 + 4x * 6) + 3x * (-5 + 4x)) = 0
((-30 + 24x) + 3x * (-5 + 4x)) = 0
(-30 + 24x + (-5 * 3x + 4x * 3x)) = 0
(-30 + 24x + (-15x + 12x2)) = 0

Combine like terms: 24x + -15x = 9x
(-30 + 9x + 12x2) = 0

Solving
-30 + 9x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-10 + 3x + 4x2) = 0

Factor a trinomial.
3((-2 + -1x)(5 + -4x)) = 0

Ignore the factor 3.

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 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

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

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

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

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {-2, 1.25}

See similar equations:

| ex=7.25 | | y=3m+3x | | Y^2(y+-5)=2y+2 | | log(2)*x= | | 2+4x^2-10x=3 | | 5=-13W | | 6x-10=8x-20 | | e^2(2x^2+3x^3)=0 | | 2(x+2)-3=-7 | | (4x-9)(3x+9)= | | 4y^2-12+9=0 | | -4(t-3)-(t+9)=9 | | Ln(8x-3)=0.7364 | | 4(3x+2)=41 | | 1.5x+.25=1.6x | | 2csquared-11c+5=0 | | 10(x+-2)+15=8x+7 | | Y=4(5)-9 | | 2x+9=5-(8x-5) | | 5+2x=12+18x-4.905x^2 | | a=(x+22)(x+18) | | -20x-4y=-6 | | 21+6x=-11-14x | | 0=cos(ln(x)) | | (x+13)(4x+1)= | | 3(2x+4)=23 | | 8x+5y+2.2=14.47 | | 5x^2-70x+258=0 | | 0=3y+7x-6 | | x^4-2x^2-54=0 | | x-2.5=0 | | 9(5x+3)=342 |

Equations solver categories