(24)(42)=(2x-4)(x+8)

Simple and best practice solution for (24)(42)=(2x-4)(x+8) 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-4)(x+8) equation: 


Simplifying
(24)(42) = (2x + -4)(x + 8)

Multiply 24 * 42
1008 = (2x + -4)(x + 8)

Reorder the terms:
1008 = (-4 + 2x)(x + 8)

Reorder the terms:
1008 = (-4 + 2x)(8 + x)

Multiply (-4 + 2x) * (8 + x)
1008 = (-4(8 + x) + 2x * (8 + x))
1008 = ((8 * -4 + x * -4) + 2x * (8 + x))
1008 = ((-32 + -4x) + 2x * (8 + x))
1008 = (-32 + -4x + (8 * 2x + x * 2x))
1008 = (-32 + -4x + (16x + 2x2))

Combine like terms: -4x + 16x = 12x
1008 = (-32 + 12x + 2x2)

Solving
1008 = -32 + 12x + 2x2

Solving for variable 'x'.

Combine like terms: 1008 + 32 = 1040
1040 + -12x + -2x2 = -32 + 12x + 2x2 + 32 + -12x + -2x2

Reorder the terms:
1040 + -12x + -2x2 = -32 + 32 + 12x + -12x + 2x2 + -2x2

Combine like terms: -32 + 32 = 0
1040 + -12x + -2x2 = 0 + 12x + -12x + 2x2 + -2x2
1040 + -12x + -2x2 = 12x + -12x + 2x2 + -2x2

Combine like terms: 12x + -12x = 0
1040 + -12x + -2x2 = 0 + 2x2 + -2x2
1040 + -12x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
1040 + -12x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(520 + -6x + -1x2) = 0

Factor a trinomial.
2((20 + -1x)(26 + x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 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 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20

Subproblem 2
Set the factor '(26 + x)' equal to zero and attempt to solve:

Simplifying
26 + x = 0

Solving
26 + x = 0

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

Add '-26' to each side of the equation.
26 + -26 + x = 0 + -26

Combine like terms: 26 + -26 = 0
0 + x = 0 + -26
x = 0 + -26

Combine like terms: 0 + -26 = -26
x = -26

Simplifying
x = -26
Solution
x = {20, -26}

See similar equations:

| (4x-3.5)2=(4x+17) | | -4s+2(43+1)=125 | | -2y-y=-1 | | (24)(45)=(2x-8)(x+8) | | (4xy)+8=40 | | http://learnft.flvs.net/webdav/assessment_images/educator_mjprealgebra_v16/07_07_48a.gif | | 4x+9=2x+18 | | 100×56/14 | | 4b+10=-12-6b | | m=60 | | 8.25*4= | | x=7(z-h) | | 3a+2b+31=100 | | 40-40= | | (3/w)-(7/k)= | | 12x-3y+15=0 | | 1.8m-1.3=2.66 | | 103=-2a+3(-3a+5) | | -6=-7/6x-7 | | 5+3xy=32 | | 11cos^2x+cosx-12=0 | | (5i)/(4-6i) | | -1.4y=-78.96 | | 3k=log14/3 | | 0=(x-1)-2 | | ax+6=c | | 5=-7+u | | Ax+6=6 | | 3n/4=15 | | 3n/4=20 | | 7x-8+4y=8y+4x+4 | | X^2+X^2=27 |

Equations solver categories