(3x-6)(7x+4)=

Simple and best practice solution for (3x-6)(7x+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 (3x-6)(7x+4)= equation: 


Simplifying
(3x + -6)(7x + 4) = 0

Reorder the terms:
(-6 + 3x)(7x + 4) = 0

Reorder the terms:
(-6 + 3x)(4 + 7x) = 0

Multiply (-6 + 3x) * (4 + 7x)
(-6(4 + 7x) + 3x * (4 + 7x)) = 0
((4 * -6 + 7x * -6) + 3x * (4 + 7x)) = 0
((-24 + -42x) + 3x * (4 + 7x)) = 0
(-24 + -42x + (4 * 3x + 7x * 3x)) = 0
(-24 + -42x + (12x + 21x2)) = 0

Combine like terms: -42x + 12x = -30x
(-24 + -30x + 21x2) = 0

Solving
-24 + -30x + 21x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + -10x + 7x2) = 0

Factor a trinomial.
3((-4 + -7x)(2 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-4 + -7x)' equal to zero and attempt to solve:

Simplifying
-4 + -7x = 0

Solving
-4 + -7x = 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 + -7x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -7x = 0 + 4
-7x = 0 + 4

Combine like terms: 0 + 4 = 4
-7x = 4

Divide each side by '-7'.
x = -0.5714285714

Simplifying
x = -0.5714285714

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 = {-0.5714285714, 2}

See similar equations:

| x=0.85(x+8) | | 17-3x+4=10x-35+4 | | x^2+40*x-44=0 | | 2/7x-4/3 | | 3tan^2-7tanx+4=0 | | 4x*x+3=6+2x | | ln(3+x)*ln(x+1)=0 | | 3.8/w=5 | | 4k=2k-10 | | w/3.8=5 | | 3k=-4+5k | | w/3.5=5 | | -3k=-2-k | | -5k-6=-2k | | X+19=-36 | | 7a(3a-9)= | | 12.99+0.08(x+3)=13.49-0.13x | | -16x^2+64x+144=0 | | 5-3n=46 | | .8w-.6w+.3w=4 | | 10x+14-5x=54 | | 13.94+0.13(x+3)=14.69+0.08x | | 2x-3(-2x+3)=7 | | x+y-z+5w=12 | | 3.4+x-1.3=6.8 | | -0.5x+8.87=-0.7x+4.87 | | 2/7x-4/3= | | 2x-3y-5z+w=-2 | | 7p-25=485 | | 3x-2x-5x=0 | | -5=5/9(f-32) | | 43.25+7=1.25t |

Equations solver categories