-3x^2+600x+16=

Simple and best practice solution for -3x^2+600x+16= 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 -3x^2+600x+16= equation:


Simplifying
-3x2 + 600x + 16 = 0

Reorder the terms:
16 + 600x + -3x2 = 0

Solving
16 + 600x + -3x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
-5.333333333 + -200x + x2 = 0

Move the constant term to the right:

Add '5.333333333' to each side of the equation.
-5.333333333 + -200x + 5.333333333 + x2 = 0 + 5.333333333

Reorder the terms:
-5.333333333 + 5.333333333 + -200x + x2 = 0 + 5.333333333

Combine like terms: -5.333333333 + 5.333333333 = 0.000000000
0.000000000 + -200x + x2 = 0 + 5.333333333
-200x + x2 = 0 + 5.333333333

Combine like terms: 0 + 5.333333333 = 5.333333333
-200x + x2 = 5.333333333

The x term is -200x.  Take half its coefficient (-100).
Square it (10000) and add it to both sides.

Add '10000' to each side of the equation.
-200x + 10000 + x2 = 5.333333333 + 10000

Reorder the terms:
10000 + -200x + x2 = 5.333333333 + 10000

Combine like terms: 5.333333333 + 10000 = 10005.333333333
10000 + -200x + x2 = 10005.333333333

Factor a perfect square on the left side:
(x + -100)(x + -100) = 10005.333333333

Calculate the square root of the right side: 100.026663112

Break this problem into two subproblems by setting 
(x + -100) equal to 100.026663112 and -100.026663112.

Subproblem 1

x + -100 = 100.026663112 Simplifying x + -100 = 100.026663112 Reorder the terms: -100 + x = 100.026663112 Solving -100 + x = 100.026663112 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + x = 100.026663112 + 100 Combine like terms: -100 + 100 = 0 0 + x = 100.026663112 + 100 x = 100.026663112 + 100 Combine like terms: 100.026663112 + 100 = 200.026663112 x = 200.026663112 Simplifying x = 200.026663112

Subproblem 2

x + -100 = -100.026663112 Simplifying x + -100 = -100.026663112 Reorder the terms: -100 + x = -100.026663112 Solving -100 + x = -100.026663112 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + x = -100.026663112 + 100 Combine like terms: -100 + 100 = 0 0 + x = -100.026663112 + 100 x = -100.026663112 + 100 Combine like terms: -100.026663112 + 100 = -0.026663112 x = -0.026663112 Simplifying x = -0.026663112

Solution

The solution to the problem is based on the solutions from the subproblems. x = {200.026663112, -0.026663112}

See similar equations:

| 3x+4y=15fory | | 6t=2t | | 4w+10=9w | | 6x+150=16x-10 | | Cosx-5sin=0 | | 37=z-26 | | Cosx-5sinx=0 | | 5x^2+3x-22=-8 | | 4e-13=15 | | 6x^2-18x+2=0 | | z^2=-5/2-2i | | 80=8k | | y=-3/2x^3 | | 6+77=44x+30 | | 31q=93 | | -5r^2=-245 | | 6(lnx)=1 | | m/4=-133 | | 6=w-86 | | 5x+2(3x+1)=x | | z-4(z-2)=-13 | | n-41=42 | | 98-4y=10 | | 4(2x-8)=2x+10 | | -3x^2+620x+14= | | 12a-a-a-a= | | 8n^2+12n-7=10 | | 51-3x=11-8x | | n+3(n-7)=18 | | 14+b=31 | | f(5)=(3(5)+4)-(2-5) | | |x/10|=3 |

Equations solver categories