1008=(x+8)*(2x-4)

Simple and best practice solution for 1008=(x+8)*(2x-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 1008=(x+8)*(2x-4) equation: 


Simplifying
1008 = (x + 8)(2x + -4)

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

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

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

Combine like terms: 16x + -4x = 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:

| 0.61+0.15t+3.75t-0.83= | | -75+4x+3x=30 | | 2x+7-4x=13-18x+16x-6 | | -8(x+6)=-36 | | 454=3-(4x) | | 3x-116+7x=74 | | 8-t=(-25) | | 454=3-4x | | -7x+4-12x=-34 | | (x-2)-16+14=84 | | x(0.05)+x=17.85 | | 10-h-h=-13 | | 10x-32=4x+34 | | 15x-24=90 | | -8-2y=-3x | | 14x^2+18=0 | | 8x+88=3x | | 19x-28=12x+14 | | 9-(x+5)=5x-2 | | 5y+10=6y-30 | | 10x+44=16x-46 | | a+22=5a+14 | | 15=-2(t-17) | | -5(4y-2)-y=-4(y-4) | | (x-21)-16+14=84 | | 4x+38=90 | | 3m^2=95+4m | | ln(x)+ln(x-2)-ln(2)-ln(x)=ln(5) | | 4x+38= | | 5n^2-32n-64=0 | | 1.10x+2.35y=294.2 | | 6-6(3x-4)=24 |

Equations solver categories