(2x-3)(x+8)=(x-4)(x+6)

Simple and best practice solution for (2x-3)(x+8)=(x-4)(x+6) 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 (2x-3)(x+8)=(x-4)(x+6) equation: 


Simplifying
(2x + -3)(x + 8) = (x + -4)(x + 6)

Reorder the terms:
(-3 + 2x)(x + 8) = (x + -4)(x + 6)

Reorder the terms:
(-3 + 2x)(8 + x) = (x + -4)(x + 6)

Multiply (-3 + 2x) * (8 + x)
(-3(8 + x) + 2x * (8 + x)) = (x + -4)(x + 6)
((8 * -3 + x * -3) + 2x * (8 + x)) = (x + -4)(x + 6)
((-24 + -3x) + 2x * (8 + x)) = (x + -4)(x + 6)
(-24 + -3x + (8 * 2x + x * 2x)) = (x + -4)(x + 6)
(-24 + -3x + (16x + 2x2)) = (x + -4)(x + 6)

Combine like terms: -3x + 16x = 13x
(-24 + 13x + 2x2) = (x + -4)(x + 6)

Reorder the terms:
-24 + 13x + 2x2 = (-4 + x)(x + 6)

Reorder the terms:
-24 + 13x + 2x2 = (-4 + x)(6 + x)

Multiply (-4 + x) * (6 + x)
-24 + 13x + 2x2 = (-4(6 + x) + x(6 + x))
-24 + 13x + 2x2 = ((6 * -4 + x * -4) + x(6 + x))
-24 + 13x + 2x2 = ((-24 + -4x) + x(6 + x))
-24 + 13x + 2x2 = (-24 + -4x + (6 * x + x * x))
-24 + 13x + 2x2 = (-24 + -4x + (6x + x2))

Combine like terms: -4x + 6x = 2x
-24 + 13x + 2x2 = (-24 + 2x + x2)

Add '24' to each side of the equation.
-24 + 13x + 24 + 2x2 = -24 + 2x + 24 + x2

Reorder the terms:
-24 + 24 + 13x + 2x2 = -24 + 2x + 24 + x2

Combine like terms: -24 + 24 = 0
0 + 13x + 2x2 = -24 + 2x + 24 + x2
13x + 2x2 = -24 + 2x + 24 + x2

Reorder the terms:
13x + 2x2 = -24 + 24 + 2x + x2

Combine like terms: -24 + 24 = 0
13x + 2x2 = 0 + 2x + x2
13x + 2x2 = 2x + x2

Solving
13x + 2x2 = 2x + x2

Solving for variable 'x'.

Reorder the terms:
13x + -2x + 2x2 + -1x2 = 2x + x2 + -2x + -1x2

Combine like terms: 13x + -2x = 11x
11x + 2x2 + -1x2 = 2x + x2 + -2x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
11x + 1x2 = 2x + x2 + -2x + -1x2

Reorder the terms:
11x + 1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
11x + 1x2 = 0 + x2 + -1x2
11x + 1x2 = x2 + -1x2

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(11 + x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11
Solution
x = {0, -11}

See similar equations:

| 0.4(10+5x)=2x | | x+7y=19 | | 4x=512 | | 2x^2-28x=-3x^2-2x-24 | | 5x^2+8x-10=6-8x | | 10g-4g+4g+6g= | | 8y=10y^2 | | 8y=1-y^2 | | 8x-3x+4=9-2+5x | | x^2+20x+100=0 | | 6x^2-10x-44=0 | | 8+5tu= | | 2x=128 | | 30x^2-11x-30=0 | | 8+20x=20x+8 | | x^2-21=-4x | | 2(3n+7)=8 | | 25x^2-9=0 | | 4d+4dg-d= | | 5(x-7)=7 | | 60x^3-20x^2-5x=0 | | (9x-7)(81x^2-126x+49)=0 | | 2*3x-2(x+1)=0.7 | | 2*3x-2(x+1)=.7 | | 7x+3=4x+12 | | 10x^2+78x=16 | | 4(2+5x)=20x+8 | | x(6x-7)=13 | | (x+2)(x-3)=4x | | (3x-8)(6x+5)=0 | | (8x+9)(4x-7)=0 | | x+5.2=-18.73 |

Equations solver categories