2(x^2+17x-168)=0

Simple and best practice solution for 2(x^2+17x-168)=0 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 2(x^2+17x-168)=0 equation:


Simplifying
2(x2 + 17x + -168) = 0

Reorder the terms:
2(-168 + 17x + x2) = 0
(-168 * 2 + 17x * 2 + x2 * 2) = 0
(-336 + 34x + 2x2) = 0

Solving
-336 + 34x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-168 + 17x + x2) = 0

Factor a trinomial.
2((-24 + -1x)(7 + -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 '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7

Solution

x = {-24, 7}

See similar equations:

| 16x^2-5x=-1 | | 3x-1=2x+23 | | 3y^2-4y^2-8y-16=0 | | 9x+4-6x=16 | | 2(x-5)=(3x-8) | | 2(x-5)=(x-8) | | 5x=(4x-18) | | -(11x-14)=-8 | | 5(3+9)-2x=15x-2(x-5) | | 36x^2+12xy+y^2= | | -12(x-1)+84=-11(x-4)+60 | | 5(1x+2)-2=6x-9 | | F(4a)= | | -(x-4y)= | | 2x-2=96 | | 0=5t^2+2t-43 | | (74+x)2=81 | | 28x+3=2x-9 | | 9x+3=7x+27 | | 5a^2+39a-8=0 | | 64x^2+48x+9y^2= | | 6(x-8y)= | | x+15-25+3=176 | | 3x+2y-z=8 | | u^2=10 | | 24a-23=-4(1-6a) | | 12345678910=5b^2 | | X+0.40x=28 | | Sinx-x=0.8 | | 795-195+250*3= | | 180=(7x-14) | | 16-3x-9=28-2x+4 |

Equations solver categories