(x+6)(2x-8)=1008

Simple and best practice solution for (x+6)(2x-8)=1008 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 (x+6)(2x-8)=1008 equation:


Simplifying
(x + 6)(2x + -8) = 1008

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

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

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

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

Solving
-48 + 4x + 2x2 = 1008

Solving for variable 'x'.

Reorder the terms:
-48 + -1008 + 4x + 2x2 = 1008 + -1008

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

Combine like terms: 1008 + -1008 = 0
-1056 + 4x + 2x2 = 0

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

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

Ignore the factor 2.

Subproblem 1

Set the factor '(-24 + -1x)' equal to zero and attempt to solve: Simplifying -24 + -1x = 0 Solving -24 + -1x = 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 + -1x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = 0 + 24 -1x = 0 + 24 Combine like terms: 0 + 24 = 24 -1x = 24 Divide each side by '-1'. x = -24 Simplifying x = -24

Subproblem 2

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

Solution

x = {-24, 22}

See similar equations:

| 9m+3y=3m+y | | 2x^2-12=-87 | | 12x-92=116-4x | | 310=2l+108 | | 301.44=3.14*x*18/3 | | (1+5)*(7-3)= | | 115/35 | | 25/60=x/100 | | 4x+24=9-x | | |2/3|-3 | | 301.44=3.14*x*18 | | 310=2(2w-7)+2w | | 10+(6-4)*4= | | 2x+y=3y-6 | | |2/3|-(3) | | 4b-3(4-4b)=4 | | 30x-8=25+7 | | 3xsquared+2=62 | | 14x-7x=56 | | 378+20=x | | 5=2y-13 | | 1+6x=7x-10 | | (3)2/3x=16 | | 112=4(3-5x) | | 4x-88=52+6x | | 5(x-7)+7x=13 | | (39x-13)/(3x-1) | | -0.37c-11=13 | | t^2+10t=100 | | Ln(6x+2)=8 | | 4x+y=206 | | 9(x-2)=3x+6 |

Equations solver categories