8(2x+1)=(3x+4)(4x+3)

Simple and best practice solution for 8(2x+1)=(3x+4)(4x+3) 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 8(2x+1)=(3x+4)(4x+3) equation: 


Simplifying
8(2x + 1) = (3x + 4)(4x + 3)

Reorder the terms:
8(1 + 2x) = (3x + 4)(4x + 3)
(1 * 8 + 2x * 8) = (3x + 4)(4x + 3)
(8 + 16x) = (3x + 4)(4x + 3)

Reorder the terms:
8 + 16x = (4 + 3x)(4x + 3)

Reorder the terms:
8 + 16x = (4 + 3x)(3 + 4x)

Multiply (4 + 3x) * (3 + 4x)
8 + 16x = (4(3 + 4x) + 3x * (3 + 4x))
8 + 16x = ((3 * 4 + 4x * 4) + 3x * (3 + 4x))
8 + 16x = ((12 + 16x) + 3x * (3 + 4x))
8 + 16x = (12 + 16x + (3 * 3x + 4x * 3x))
8 + 16x = (12 + 16x + (9x + 12x2))

Combine like terms: 16x + 9x = 25x
8 + 16x = (12 + 25x + 12x2)

Solving
8 + 16x = 12 + 25x + 12x2

Solving for variable 'x'.

Reorder the terms:
8 + -12 + 16x + -25x + -12x2 = 12 + 25x + 12x2 + -12 + -25x + -12x2

Combine like terms: 8 + -12 = -4
-4 + 16x + -25x + -12x2 = 12 + 25x + 12x2 + -12 + -25x + -12x2

Combine like terms: 16x + -25x = -9x
-4 + -9x + -12x2 = 12 + 25x + 12x2 + -12 + -25x + -12x2

Reorder the terms:
-4 + -9x + -12x2 = 12 + -12 + 25x + -25x + 12x2 + -12x2

Combine like terms: 12 + -12 = 0
-4 + -9x + -12x2 = 0 + 25x + -25x + 12x2 + -12x2
-4 + -9x + -12x2 = 25x + -25x + 12x2 + -12x2

Combine like terms: 25x + -25x = 0
-4 + -9x + -12x2 = 0 + 12x2 + -12x2
-4 + -9x + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-4 + -9x + -12x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(4 + 9x + 12x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(4 + 9x + 12x2)' equal to zero and attempt to solve:

Simplifying
4 + 9x + 12x2 = 0

Solving
4 + 9x + 12x2 = 0

Begin completing the square.  Divide all terms by
12 the coefficient of the squared term: 

Divide each side by '12'.
0.3333333333 + 0.75x + x2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + 0.75x + -0.3333333333 + x2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + 0.75x + x2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + 0.75x + x2 = 0 + -0.3333333333
0.75x + x2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
0.75x + x2 = -0.3333333333

The x term is 0.75x.  Take half its coefficient (0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
0.75x + 0.140625 + x2 = -0.3333333333 + 0.140625

Reorder the terms:
0.140625 + 0.75x + x2 = -0.3333333333 + 0.140625

Combine like terms: -0.3333333333 + 0.140625 = -0.1927083333
0.140625 + 0.75x + x2 = -0.1927083333

Factor a perfect square on the left side:
(x + 0.375)(x + 0.375) = -0.1927083333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 2x+1=6x-12 | | 5*8-n=75 | | -10=12f | | 8(-5r-2)+20r=-16-20r | | 0=-3(y+8) | | 14x+2y=192 | | 150+.72h=240+.54h | | 36x^5y^8-18x^4y^6+45x^9y^7+9x^5y^5=0 | | 4x+5=8x-3 | | 0.43x-0.5=-0.66 | | v=(21.78-.101a)h | | 15n+11=0 | | a*x-b*x=a+b | | y-5(1+y)=5(4y-4)-40 | | 0.4(7x+2)=0.28(x+7)-1.88 | | 3x(5-4)= | | 8(-5-2)+20r=-16-20r | | 6x+x=70+10 | | -9n-1=0 | | 4(y-1)-(y+2)= | | 9n+1=0 | | -14+3n=n | | -160=-5(-4b) | | [7x-17]=[10x+9] | | 4x+20=2y+2 | | 5.6=8b | | -(3x+2)(x-1)=0 | | -106=-5(4b) | | 4f-2(1-f)=-38 | | .5(-2x-10)=3(4-6x) | | 6x+15y=26 | | Y=5x^2-3x+7 |

Equations solver categories