(24)(42)=(2x-8)(x+6)

Simple and best practice solution for (24)(42)=(2x-8)(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 (24)(42)=(2x-8)(x+6) equation: 


Simplifying
(24)(42) = (2x + -8)(x + 6)

Multiply 24 * 42
1008 = (2x + -8)(x + 6)

Reorder the terms:
1008 = (-8 + 2x)(x + 6)

Reorder the terms:
1008 = (-8 + 2x)(6 + x)

Multiply (-8 + 2x) * (6 + x)
1008 = (-8(6 + x) + 2x * (6 + x))
1008 = ((6 * -8 + x * -8) + 2x * (6 + x))
1008 = ((-48 + -8x) + 2x * (6 + x))
1008 = (-48 + -8x + (6 * 2x + x * 2x))
1008 = (-48 + -8x + (12x + 2x2))

Combine like terms: -8x + 12x = 4x
1008 = (-48 + 4x + 2x2)

Solving
1008 = -48 + 4x + 2x2

Solving for variable 'x'.

Combine like terms: 1008 + 48 = 1056
1056 + -4x + -2x2 = -48 + 4x + 2x2 + 48 + -4x + -2x2

Reorder the terms:
1056 + -4x + -2x2 = -48 + 48 + 4x + -4x + 2x2 + -2x2

Combine like terms: -48 + 48 = 0
1056 + -4x + -2x2 = 0 + 4x + -4x + 2x2 + -2x2
1056 + -4x + -2x2 = 4x + -4x + 2x2 + -2x2

Combine like terms: 4x + -4x = 0
1056 + -4x + -2x2 = 0 + 2x2 + -2x2
1056 + -4x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
1056 + -4x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(528 + -2x + -1x2) = 0

Factor a trinomial.
2((22 + -1x)(24 + x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(22 + -1x)' equal to zero and attempt to solve:

Simplifying
22 + -1x = 0

Solving
22 + -1x = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = 0 + -22
-1x = 0 + -22

Combine like terms: 0 + -22 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22

Subproblem 2
Set the factor '(24 + x)' equal to zero and attempt to solve:

Simplifying
24 + x = 0

Solving
24 + x = 0

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

Add '-24' to each side of the equation.
24 + -24 + x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + x = 0 + -24
x = 0 + -24

Combine like terms: 0 + -24 = -24
x = -24

Simplifying
x = -24
Solution
x = {22, -24}

See similar equations:

| -0.5a^2-0.25b^2-a-b=0 | | 4x^2+64x-140=0 | | 6x+13=9x | | -9x-36= | | 6x+4y=175 | | 24x=209+13x | | 29+p=20 | | 18=3(9x-6) | | 4x+10=44 | | 7*7*49= | | q^2-22q=-5 | | 51=n+17 | | 2x-2=[-1] | | 5x^2-12=168 | | 51=n | | -10y+48=-4y+66 | | j^2+14J-33=0 | | 7x+5=38 | | 6b+7=2b+47 | | 0.85x-5.00=20.50 | | h^2+14h-5=0 | | 3714/2*(x/100)=705 | | d^2-4d-31=0 | | -5a+23=9a+79 | | 5/9x81 | | f^2-10f=19 | | 100*x/100=10 | | 16x-8x-12=-24+20 | | (x+0.07x)+0.1(x+0.07x)=43 | | 9-(6-2x)^2/3=5 | | 2x+3=3x-27 | | 3714*x=705 |

Equations solver categories