126=(3x+2)(2x+1)

Simple and best practice solution for 126=(3x+2)(2x+1) 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 126=(3x+2)(2x+1) equation: 


Simplifying
126 = (3x + 2)(2x + 1)

Reorder the terms:
126 = (2 + 3x)(2x + 1)

Reorder the terms:
126 = (2 + 3x)(1 + 2x)

Multiply (2 + 3x) * (1 + 2x)
126 = (2(1 + 2x) + 3x * (1 + 2x))
126 = ((1 * 2 + 2x * 2) + 3x * (1 + 2x))
126 = ((2 + 4x) + 3x * (1 + 2x))
126 = (2 + 4x + (1 * 3x + 2x * 3x))
126 = (2 + 4x + (3x + 6x2))

Combine like terms: 4x + 3x = 7x
126 = (2 + 7x + 6x2)

Solving
126 = 2 + 7x + 6x2

Solving for variable 'x'.

Combine like terms: 126 + -2 = 124
124 + -7x + -6x2 = 2 + 7x + 6x2 + -2 + -7x + -6x2

Reorder the terms:
124 + -7x + -6x2 = 2 + -2 + 7x + -7x + 6x2 + -6x2

Combine like terms: 2 + -2 = 0
124 + -7x + -6x2 = 0 + 7x + -7x + 6x2 + -6x2
124 + -7x + -6x2 = 7x + -7x + 6x2 + -6x2

Combine like terms: 7x + -7x = 0
124 + -7x + -6x2 = 0 + 6x2 + -6x2
124 + -7x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
124 + -7x + -6x2 = 0

Factor a trinomial.
(4 + -1x)(31 + 6x) = 0


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

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(31 + 6x)' equal to zero and attempt to solve:

Simplifying
31 + 6x = 0

Solving
31 + 6x = 0

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

Add '-31' to each side of the equation.
31 + -31 + 6x = 0 + -31

Combine like terms: 31 + -31 = 0
0 + 6x = 0 + -31
6x = 0 + -31

Combine like terms: 0 + -31 = -31
6x = -31

Divide each side by '6'.
x = -5.166666667

Simplifying
x = -5.166666667
Solution
x = {4, -5.166666667}

See similar equations:

| (4x^2)*(-3x^3/4) | | 3u^2-49u+16=0 | | 4x^2+14x-60=0 | | 8a-3=17/3 | | 3x+27=48 | | 34+16y-y=10+108+33-100 | | 11c=73 | | 4=x+0.5-x | | 21(2m^4)(-3n^2)= | | 4=x-x+0.5 | | t=3t | | 5(2-w)=10 | | (3x+2)(-8)=8 | | 4N-3=5/7 | | 3xsquared-4x-2=0 | | y=-2x+8x+9 | | 0.6x+0.1=0.8x-1.5 | | 2-1/4-7/8= | | 9u^2-3u=o | | 5N-4=8/7 | | 14x^2+39x+10=0 | | 5x+x(-7)=0 | | 2(3k+10)-7k=7a-2(8+7k) | | 14x^2+39+10=0 | | 4(x-2)+1=2x+2(-1+x) | | 78=15a-12 | | (-6x-3)+(-3x+2)= | | 12=6x+6-8+8y | | 4=x-2x+0.5 | | 6x+12=9*x | | 4.25y-12=5 | | 7-3x=3(x+1)-2 |

Equations solver categories