0=-16x^2+1600x-38400

Simple and best practice solution for 0=-16x^2+1600x-38400 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 0=-16x^2+1600x-38400 equation: 


Simplifying
0 = -16x2 + 1600x + -38400

Reorder the terms:
0 = -38400 + 1600x + -16x2

Solving
0 = -38400 + 1600x + -16x2

Solving for variable 'x'.

Combine like terms: 0 + 38400 = 38400
38400 + -1600x + 16x2 = -38400 + 1600x + -16x2 + 38400 + -1600x + 16x2

Reorder the terms:
38400 + -1600x + 16x2 = -38400 + 38400 + 1600x + -1600x + -16x2 + 16x2

Combine like terms: -38400 + 38400 = 0
38400 + -1600x + 16x2 = 0 + 1600x + -1600x + -16x2 + 16x2
38400 + -1600x + 16x2 = 1600x + -1600x + -16x2 + 16x2

Combine like terms: 1600x + -1600x = 0
38400 + -1600x + 16x2 = 0 + -16x2 + 16x2
38400 + -1600x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
38400 + -1600x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(2400 + -100x + x2) = 0

Factor a trinomial.
16((40 + -1x)(60 + -1x)) = 0

Ignore the factor 16.

Subproblem 1
Set the factor '(40 + -1x)' equal to zero and attempt to solve:

Simplifying
40 + -1x = 0

Solving
40 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-40' to each side of the equation.
40 + -40 + -1x = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -1x = 0 + -40
-1x = 0 + -40

Combine like terms: 0 + -40 = -40
-1x = -40

Divide each side by '-1'.
x = 40

Simplifying
x = 40

Subproblem 2
Set the factor '(60 + -1x)' equal to zero and attempt to solve:

Simplifying
60 + -1x = 0

Solving
60 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-60' to each side of the equation.
60 + -60 + -1x = 0 + -60

Combine like terms: 60 + -60 = 0
0 + -1x = 0 + -60
-1x = 0 + -60

Combine like terms: 0 + -60 = -60
-1x = -60

Divide each side by '-1'.
x = 60

Simplifying
x = 60
Solution
x = {40, 60}

See similar equations:

| 14=x+14 | | 4x*x-4x+1=3x+2 | | 0=-16t^2+1600x-38400 | | 9x=11x+30 | | (10z+4)-(9z+7)=-6 | | -18+34=-4(x+9) | | 5m^2-2m-1=0 | | -y+2x+4=0 | | 8=5x^2-3x | | |s+4|=3 | | 5x-8=13x+4 | | 25x^3+20x^2+x=-3x | | 8x+7-11x+10=10x-13x+11 | | -5/13x=-2 | | 4.3v+6=2.3v-2 | | 2(-3)+2y=20 | | -2(4x+3)-8=6+2x | | 36=18-8t | | (10x+4)-(9x+7)=-6 | | 2*x=1.5*13.3 | | 3(n+4)=-3(4+n) | | 5[7-5(6-q)]-7=7[(7q-6)+4]-50 | | (x^4-2.3x^3+6)(x^4-2.3x^3+6)=0 | | 4-6lnx=y | | -2x=2y-4 | | 4x+11=4x-21 | | -9(x-1)=-8x-6 | | 3(2x-2)=5(x+4) | | 8+2x=-x+35 | | 8y-2=9y-2y | | 3r-5r+r+8= | | 50/1x=3 |

Equations solver categories