22x^2-156x-96=x^2

Simple and best practice solution for 22x^2-156x-96=x^2 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 22x^2-156x-96=x^2 equation:


Simplifying
22x2 + -156x + -96 = x2

Reorder the terms:
-96 + -156x + 22x2 = x2

Solving
-96 + -156x + 22x2 = x2

Solving for variable 'x'.

Combine like terms: 22x2 + -1x2 = 21x2
-96 + -156x + 21x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-96 + -156x + 21x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-32 + -52x + 7x2) = 0

Factor a trinomial.
3((-4 + -7x)(8 + -1x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-4 + -7x)' equal to zero and attempt to solve: Simplifying -4 + -7x = 0 Solving -4 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -7x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7x = 0 + 4 -7x = 0 + 4 Combine like terms: 0 + 4 = 4 -7x = 4 Divide each side by '-7'. x = -0.5714285714 Simplifying x = -0.5714285714

Subproblem 2

Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8

Solution

x = {-0.5714285714, 8}

See similar equations:

| 20q+49=69 | | 6x+7x-1=180 | | 7y-3y+2y=66 | | .66666n+4=10 | | x^3+10x^2+5x+50=0 | | t/4-8=-4.5t | | 9y+3=30 | | 49x4/9 | | 3x+3(4x-13)=17 | | 62x=400 | | t/4-8=4.5t | | 90+.20x=30+.30x | | x^2-22x-112=0 | | 9x^2=54 | | 4w/9=20 | | 2s^4-4s^2= | | 6x^2+18=2x+12 | | X^2-12x+9=2 | | 4x(y+x+z)= | | 2x+4+2x+3+2x=2x+2x+3x+3 | | 112=6x+8x | | 3r^2=30r-63 | | x^2-20=61 | | t^6=20 | | fx=x^3+x^2+1 | | k^2-4K=33 | | 4n+30=4.50n | | 6x^2=72-6x | | (4y+8)-(3+3y)=8 | | 8/2x4=24/3x2 | | (10-2)x=8 | | (10-2)=8 |

Equations solver categories