(4x-5)(x+4)=(3x+2)(x+4)

Simple and best practice solution for (4x-5)(x+4)=(3x+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-5)(x+4)=(3x+2)(x+4) equation:


Simplifying
(4x + -5)(x + 4) = (3x + 2)(x + 4)

Reorder the terms:
(-5 + 4x)(x + 4) = (3x + 2)(x + 4)

Reorder the terms:
(-5 + 4x)(4 + x) = (3x + 2)(x + 4)

Multiply (-5 + 4x) * (4 + x)
(-5(4 + x) + 4x * (4 + x)) = (3x + 2)(x + 4)
((4 * -5 + x * -5) + 4x * (4 + x)) = (3x + 2)(x + 4)
((-20 + -5x) + 4x * (4 + x)) = (3x + 2)(x + 4)
(-20 + -5x + (4 * 4x + x * 4x)) = (3x + 2)(x + 4)
(-20 + -5x + (16x + 4x2)) = (3x + 2)(x + 4)

Combine like terms: -5x + 16x = 11x
(-20 + 11x + 4x2) = (3x + 2)(x + 4)

Reorder the terms:
-20 + 11x + 4x2 = (2 + 3x)(x + 4)

Reorder the terms:
-20 + 11x + 4x2 = (2 + 3x)(4 + x)

Multiply (2 + 3x) * (4 + x)
-20 + 11x + 4x2 = (2(4 + x) + 3x * (4 + x))
-20 + 11x + 4x2 = ((4 * 2 + x * 2) + 3x * (4 + x))
-20 + 11x + 4x2 = ((8 + 2x) + 3x * (4 + x))
-20 + 11x + 4x2 = (8 + 2x + (4 * 3x + x * 3x))
-20 + 11x + 4x2 = (8 + 2x + (12x + 3x2))

Combine like terms: 2x + 12x = 14x
-20 + 11x + 4x2 = (8 + 14x + 3x2)

Solving
-20 + 11x + 4x2 = 8 + 14x + 3x2

Solving for variable 'x'.

Reorder the terms:
-20 + -8 + 11x + -14x + 4x2 + -3x2 = 8 + 14x + 3x2 + -8 + -14x + -3x2

Combine like terms: -20 + -8 = -28
-28 + 11x + -14x + 4x2 + -3x2 = 8 + 14x + 3x2 + -8 + -14x + -3x2

Combine like terms: 11x + -14x = -3x
-28 + -3x + 4x2 + -3x2 = 8 + 14x + 3x2 + -8 + -14x + -3x2

Combine like terms: 4x2 + -3x2 = 1x2
-28 + -3x + 1x2 = 8 + 14x + 3x2 + -8 + -14x + -3x2

Reorder the terms:
-28 + -3x + 1x2 = 8 + -8 + 14x + -14x + 3x2 + -3x2

Combine like terms: 8 + -8 = 0
-28 + -3x + 1x2 = 0 + 14x + -14x + 3x2 + -3x2
-28 + -3x + 1x2 = 14x + -14x + 3x2 + -3x2

Combine like terms: 14x + -14x = 0
-28 + -3x + 1x2 = 0 + 3x2 + -3x2
-28 + -3x + 1x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-28 + -3x + 1x2 = 0

Factor a trinomial.
(-4 + -1x)(7 + -1x) = 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 '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-4, 7}

See similar equations:

| 8n+11-3n=2n+2 | | x+2=4x+7 | | 4v^5+8v^4+44v^3=0 | | 4(n+3)=n-15 | | 24x-24=-24+6x+18x | | 6x+3=6x-3 | | 15n-8=14+13 | | 0.333333(2x-2)=4 | | z-4z=5z-6-z | | 3.5t=-12 | | -7n+9=3n+49 | | 3x^2+3x+9=0 | | 10x^3-5x^2=0 | | 5(p-2)=-2(-6p+8)-1 | | 4+13y-3=9y+57-3y | | 10z-z=-2+4z-1-7 | | 8x-(4x-16)=52 | | 4n-15=4n+11 | | 7x-3+2=-8x-8 | | 2(x+2)=2(x+6) | | 0.2(x+40)+x=44 | | 4n-9=2(n-3) | | -7.2w=20 | | 0.25(8n-4)=n+8-2n | | -3(3s-3)-9=-2(8s+4)-2 | | -16(z+2)+5(4z-4)=3(z-4)+11 | | 9t-36+6t=15t+15-13 | | 16n-4=4(2n-3) | | 15x^7-21x^6-18x^5=0 | | 5.4x=1.2 | | (a+2)/4=5 | | n-.333=.4 |

Equations solver categories