(4x+7)(3x+4)=(x+2)(x+4)

Simple and best practice solution for (4x+7)(3x+4)=(x+2)(x+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 (4x+7)(3x+4)=(x+2)(x+4) equation:


Simplifying
(4x + 7)(3x + 4) = (x + 2)(x + 4)

Reorder the terms:
(7 + 4x)(3x + 4) = (x + 2)(x + 4)

Reorder the terms:
(7 + 4x)(4 + 3x) = (x + 2)(x + 4)

Multiply (7 + 4x) * (4 + 3x)
(7(4 + 3x) + 4x * (4 + 3x)) = (x + 2)(x + 4)
((4 * 7 + 3x * 7) + 4x * (4 + 3x)) = (x + 2)(x + 4)
((28 + 21x) + 4x * (4 + 3x)) = (x + 2)(x + 4)
(28 + 21x + (4 * 4x + 3x * 4x)) = (x + 2)(x + 4)
(28 + 21x + (16x + 12x2)) = (x + 2)(x + 4)

Combine like terms: 21x + 16x = 37x
(28 + 37x + 12x2) = (x + 2)(x + 4)

Reorder the terms:
28 + 37x + 12x2 = (2 + x)(x + 4)

Reorder the terms:
28 + 37x + 12x2 = (2 + x)(4 + x)

Multiply (2 + x) * (4 + x)
28 + 37x + 12x2 = (2(4 + x) + x(4 + x))
28 + 37x + 12x2 = ((4 * 2 + x * 2) + x(4 + x))
28 + 37x + 12x2 = ((8 + 2x) + x(4 + x))
28 + 37x + 12x2 = (8 + 2x + (4 * x + x * x))
28 + 37x + 12x2 = (8 + 2x + (4x + x2))

Combine like terms: 2x + 4x = 6x
28 + 37x + 12x2 = (8 + 6x + x2)

Solving
28 + 37x + 12x2 = 8 + 6x + x2

Solving for variable 'x'.

Reorder the terms:
28 + -8 + 37x + -6x + 12x2 + -1x2 = 8 + 6x + x2 + -8 + -6x + -1x2

Combine like terms: 28 + -8 = 20
20 + 37x + -6x + 12x2 + -1x2 = 8 + 6x + x2 + -8 + -6x + -1x2

Combine like terms: 37x + -6x = 31x
20 + 31x + 12x2 + -1x2 = 8 + 6x + x2 + -8 + -6x + -1x2

Combine like terms: 12x2 + -1x2 = 11x2
20 + 31x + 11x2 = 8 + 6x + x2 + -8 + -6x + -1x2

Reorder the terms:
20 + 31x + 11x2 = 8 + -8 + 6x + -6x + x2 + -1x2

Combine like terms: 8 + -8 = 0
20 + 31x + 11x2 = 0 + 6x + -6x + x2 + -1x2
20 + 31x + 11x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
20 + 31x + 11x2 = 0 + x2 + -1x2
20 + 31x + 11x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
20 + 31x + 11x2 = 0

Factor a trinomial.
(20 + 11x)(1 + x) = 0

Subproblem 1

Set the factor '(20 + 11x)' equal to zero and attempt to solve: Simplifying 20 + 11x = 0 Solving 20 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 11x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 11x = 0 + -20 11x = 0 + -20 Combine like terms: 0 + -20 = -20 11x = -20 Divide each side by '11'. x = -1.818181818 Simplifying x = -1.818181818

Subproblem 2

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Solution

x = {-1.818181818, -1}

See similar equations:

| 3x-0.5=0 | | -y^2-x^2+8=z | | 3y/5=7 | | 3x+26=1x+30 | | 5x-10x=-20 | | 2x=6y+32 | | 5x-0.8=0.1+2x | | 1,6-0,7x=3,7 | | (3z-1)/(z-3)=1 | | Sen(4x)= | | 2/3(5a+7)=(5a-2)/4 | | (2+m)+(-1)*(1+3m)-1+2m=0 | | 4x-y-8=o | | 2x+300=2y+500 | | 11-x=4-2x | | 2x-13=7x+11 | | 8+3Inx=2 | | x*x=5-2x | | 7=x/4-4 | | 18a-6k+5a+k= | | 18a-6k+5a= | | 3x^2y-9xy^3+6x^3=0 | | x^2-xy+2(y^2)=28 | | 5x+y=72y+3x | | 3x+1=5-5x | | 2(3x+3)+5(x-1)=5+11x | | 4a+40=7 | | (3x-y)2+(x-5)2=0 | | 6x-9y=21 | | log(7)(x+-7)+log(7)(x*2+7*x+49)=4 | | Iflog(7)(x-7)+log(7)(x^2+7*x+49)=4 | | 2b-6+3b-5= |

Equations solver categories