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

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


Simplifying
(2x + 3)(x + -4) + -1x2 = (x + 8)(x + 2)

Reorder the terms:
(3 + 2x)(x + -4) + -1x2 = (x + 8)(x + 2)

Reorder the terms:
(3 + 2x)(-4 + x) + -1x2 = (x + 8)(x + 2)

Multiply (3 + 2x) * (-4 + x)
(3(-4 + x) + 2x * (-4 + x)) + -1x2 = (x + 8)(x + 2)
((-4 * 3 + x * 3) + 2x * (-4 + x)) + -1x2 = (x + 8)(x + 2)
((-12 + 3x) + 2x * (-4 + x)) + -1x2 = (x + 8)(x + 2)
(-12 + 3x + (-4 * 2x + x * 2x)) + -1x2 = (x + 8)(x + 2)
(-12 + 3x + (-8x + 2x2)) + -1x2 = (x + 8)(x + 2)

Combine like terms: 3x + -8x = -5x
(-12 + -5x + 2x2) + -1x2 = (x + 8)(x + 2)

Combine like terms: 2x2 + -1x2 = 1x2
-12 + -5x + 1x2 = (x + 8)(x + 2)

Reorder the terms:
-12 + -5x + 1x2 = (8 + x)(x + 2)

Reorder the terms:
-12 + -5x + 1x2 = (8 + x)(2 + x)

Multiply (8 + x) * (2 + x)
-12 + -5x + 1x2 = (8(2 + x) + x(2 + x))
-12 + -5x + 1x2 = ((2 * 8 + x * 8) + x(2 + x))
-12 + -5x + 1x2 = ((16 + 8x) + x(2 + x))
-12 + -5x + 1x2 = (16 + 8x + (2 * x + x * x))
-12 + -5x + 1x2 = (16 + 8x + (2x + x2))

Combine like terms: 8x + 2x = 10x
-12 + -5x + 1x2 = (16 + 10x + x2)

Solving
-12 + -5x + 1x2 = 16 + 10x + x2

Solving for variable 'x'.

Reorder the terms:
-12 + -16 + -5x + -10x + 1x2 + -1x2 = 16 + 10x + x2 + -16 + -10x + -1x2

Combine like terms: -12 + -16 = -28
-28 + -5x + -10x + 1x2 + -1x2 = 16 + 10x + x2 + -16 + -10x + -1x2

Combine like terms: -5x + -10x = -15x
-28 + -15x + 1x2 + -1x2 = 16 + 10x + x2 + -16 + -10x + -1x2

Combine like terms: 1x2 + -1x2 = 0
-28 + -15x + 0 = 16 + 10x + x2 + -16 + -10x + -1x2
-28 + -15x = 16 + 10x + x2 + -16 + -10x + -1x2

Reorder the terms:
-28 + -15x = 16 + -16 + 10x + -10x + x2 + -1x2

Combine like terms: 16 + -16 = 0
-28 + -15x = 0 + 10x + -10x + x2 + -1x2
-28 + -15x = 10x + -10x + x2 + -1x2

Combine like terms: 10x + -10x = 0
-28 + -15x = 0 + x2 + -1x2
-28 + -15x = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-28 + -15x = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(28 + 15x) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(28 + 15x)' equal to zero and attempt to solve:

Simplifying
28 + 15x = 0

Solving
28 + 15x = 0

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

Add '-28' to each side of the equation.
28 + -28 + 15x = 0 + -28

Combine like terms: 28 + -28 = 0
0 + 15x = 0 + -28
15x = 0 + -28

Combine like terms: 0 + -28 = -28
15x = -28

Divide each side by '15'.
x = -1.866666667

Simplifying
x = -1.866666667
Solution
x = {-1.866666667}

See similar equations:

| 1x+1= | | 6x-4=5x | | -12=-6(7x-5) | | 6x-y=5x | | 3a+2a+2a=21 | | 3t=99 | | 8+-3w= | | -54=6(-2v-1) | | 6x+.2=24.8 | | 200+50x=175+65 | | 35=5(7-5n) | | w+8-4w= | | 6x+2196=12x | | 5x-8=-4+9x | | 3x+12=-5(x+3) | | 6j=1.8 | | 10=-2(m+2) | | 11x+13=-9 | | 2x^2+x-28=0 | | -68=-4(2-3x) | | 29x^2-17x=0 | | 10x+12=12+10x | | 3w*7=28 | | 8(2x-8)=-48 | | 10(t-3)+4t=7(2t+5)-12 | | 9-x^2= | | -12y+12y= | | 3w+7=28 | | -8=2x-14 | | -80=-8(4-6x) | | -3(4s-5)-15=-2(8s+9)-3 | | 9t-4=4t |

Equations solver categories