16x^2-224=80x

Simple and best practice solution for 16x^2-224=80x 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 16x^2-224=80x equation:


Simplifying
16x2 + -224 = 80x

Reorder the terms:
-224 + 16x2 = 80x

Solving
-224 + 16x2 = 80x

Solving for variable 'x'.

Reorder the terms:
-224 + -80x + 16x2 = 80x + -80x

Combine like terms: 80x + -80x = 0
-224 + -80x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(-14 + -5x + x2) = 0

Factor a trinomial.
16((-2 + -1x)(7 + -1x)) = 0

Ignore the factor 16.

Subproblem 1

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

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 = {-2, 7}

See similar equations:

| 7x-4=11x-4 | | 6y^2+11-10=(2y+5) | | -3a+2=11 | | -(4y+3)-(-3y-4)=1 | | 18(x-1)=3(6-x)+15x | | 2y*2y-7y-22=0 | | 9x+3-7=3x-2-8 | | 11-8x=175-36x | | 18z-5=8z+5 | | 17(t-2)+4t=7(3t+4)-10 | | 4x^2-7x=1 | | 5x-51=25 | | 3y-4(2y-3)=-3-2(1-y) | | 5-14=7-42 | | x+2/4=-9 | | 18-2z=6-4z | | 18z-5=10x | | 4z-8=z+4 | | 5(x+3)=5(x+7) | | 21x+1=16x-10 | | 9x+7=6x+49 | | 13x+2=13x-2 | | 1.0(x+30)+1.0=4 | | 7x-4=11x-3 | | x^3+7x^2+6x= | | 5(5x-5)=25(x-1) | | -6(x-3)+(10x)=4(x-1)-10 | | .5x=15-3x | | k^2-9=0 | | 5+15t-4=9t+41-4t | | 35x+10=5(3x+30) | | 19v=4v+45 |

Equations solver categories