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

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


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

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

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

Multiply (4 + 3x) * (-2 + 4x)
(4(-2 + 4x) + 3x * (-2 + 4x)) = 0
((-2 * 4 + 4x * 4) + 3x * (-2 + 4x)) = 0
((-8 + 16x) + 3x * (-2 + 4x)) = 0
(-8 + 16x + (-2 * 3x + 4x * 3x)) = 0
(-8 + 16x + (-6x + 12x2)) = 0

Combine like terms: 16x + -6x = 10x
(-8 + 10x + 12x2) = 0

Solving
-8 + 10x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 5x + 6x2) = 0

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

Ignore the factor 2.

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 '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

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

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

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

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {-1.333333333, 0.5}

See similar equations:

| =x^2-5x+6 | | x^3-16*x^2+80*x-128= | | x^3-16*x^2+80*x-128=0 | | 9x-(4x-5)= | | x^3-16x^2+80x-128=0 | | 217.33+18y=234.78 | | 2-3/2*(2-z)=3/2*(z+1) | | 2*(1-z)+z=7-z | | u-2*(u-1/2)=1/2-u | | 8y*7=6 | | y=12x-x^3 | | 15a^3-5a^2= | | 4b=2 | | 3m-2(m+1)=0 | | 3.5x=1050 | | 3.5x=1100 | | 3.5x=1000 | | iz^3+8=0 | | 2x+1.5x=1000 | | 20-x=(20+x) | | (x+1)(x+2)(x+4)(x+5)=40 | | x+4x-8=7 | | x-(10y+9x)-3y= | | 10x^3+2x+9= | | 4(2-2x)=12 | | ln(2x+1)=ln(x^2-1) | | x^2-y^2=789 | | ln(1+3x)=ln(x+1) | | 9=0.1b+8.7 | | 87=60-3x | | f(x)=(3x^3+6)(12x+1) | | (2-x)+21=15 |

Equations solver categories