x(3x-2)(7x+8)=

Simple and best practice solution for x(3x-2)(7x+8)= 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 x(3x-2)(7x+8)= equation: 


Simplifying
x(3x + -2)(7x + 8) = 0

Reorder the terms:
x(-2 + 3x)(7x + 8) = 0

Reorder the terms:
x(-2 + 3x)(8 + 7x) = 0

Multiply (-2 + 3x) * (8 + 7x)
x(-2(8 + 7x) + 3x * (8 + 7x)) = 0
x((8 * -2 + 7x * -2) + 3x * (8 + 7x)) = 0
x((-16 + -14x) + 3x * (8 + 7x)) = 0
x(-16 + -14x + (8 * 3x + 7x * 3x)) = 0
x(-16 + -14x + (24x + 21x2)) = 0

Combine like terms: -14x + 24x = 10x
x(-16 + 10x + 21x2) = 0
(-16 * x + 10x * x + 21x2 * x) = 0
(-16x + 10x2 + 21x3) = 0

Solving
-16x + 10x2 + 21x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-16 + 10x + 21x2) = 0

Factor a trinomial.
x((-8 + -7x)(2 + -3x)) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-8 + -7x)' equal to zero and attempt to solve:

Simplifying
-8 + -7x = 0

Solving
-8 + -7x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -7x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -7x = 0 + 8
-7x = 0 + 8

Combine like terms: 0 + 8 = 8
-7x = 8

Divide each side by '-7'.
x = -1.142857143

Simplifying
x = -1.142857143

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

Simplifying
2 + -3x = 0

Solving
2 + -3x = 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 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {0, -1.142857143, 0.6666666667}

See similar equations:

| vsquared+7=8 | | 0.90x+0.15(450-x)=0.80(450) | | tan(x)=1/squareroot3 | | 7t=32-3t | | 2f+6=18 | | tan=1/sqrt3 | | 37+z=54 | | 7m-17+3m+12= | | 1a=-3a-5 | | 7a-2y+7+2y+5a= | | 4x-4x-6=8 | | -17=13-5x | | 12u^3v/8uv^2= | | -4(7x-8)=-28x+39 | | 0.40x+0.15(120)=0.20(46) | | 2+2A=A+2-6A | | M/8-4=-2 | | 10x-14=3x-44 | | 12m-17=-41 | | 12-(3*3)+11= | | 12.1=0.8-z | | -4(x+2)-6=-14 | | y=1.7(0.7)x | | 7w-3z=8+2z | | x=432/3x | | 2ab*5a= | | 5x-9=10+5x | | 4(x-2)+2x=122 | | 3x-2+5=7+2x+21 | | 1/2*2(3x-8)=32*1/2 | | 8p+3=7 | | 4x-4+x=56 |

Equations solver categories