-16x^2+150x+250=0

Simple and best practice solution for -16x^2+150x+250=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 -16x^2+150x+250=0 equation: 


Simplifying
-16x2 + 150x + 250 = 0

Reorder the terms:
250 + 150x + -16x2 = 0

Solving
250 + 150x + -16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(125 + 75x + -8x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(125 + 75x + -8x2)' equal to zero and attempt to solve:

Simplifying
125 + 75x + -8x2 = 0

Solving
125 + 75x + -8x2 = 0

Begin completing the square.  Divide all terms by
-8 the coefficient of the squared term: 

Divide each side by '-8'.
-15.625 + -9.375x + x2 = 0

Move the constant term to the right:

Add '15.625' to each side of the equation.
-15.625 + -9.375x + 15.625 + x2 = 0 + 15.625

Reorder the terms:
-15.625 + 15.625 + -9.375x + x2 = 0 + 15.625

Combine like terms: -15.625 + 15.625 = 0.000
0.000 + -9.375x + x2 = 0 + 15.625
-9.375x + x2 = 0 + 15.625

Combine like terms: 0 + 15.625 = 15.625
-9.375x + x2 = 15.625

The x term is -9.375x.  Take half its coefficient (-4.6875).
Square it (21.97265625) and add it to both sides.

Add '21.97265625' to each side of the equation.
-9.375x + 21.97265625 + x2 = 15.625 + 21.97265625

Reorder the terms:
21.97265625 + -9.375x + x2 = 15.625 + 21.97265625

Combine like terms: 15.625 + 21.97265625 = 37.59765625
21.97265625 + -9.375x + x2 = 37.59765625

Factor a perfect square on the left side:
(x + -4.6875)(x + -4.6875) = 37.59765625

Calculate the square root of the right side: 6.131692772

Break this problem into two subproblems by setting 
(x + -4.6875) equal to 6.131692772 and -6.131692772.


Subproblem 1
x + -4.6875 = 6.131692772

Simplifying
x + -4.6875 = 6.131692772

Reorder the terms:
-4.6875 + x = 6.131692772

Solving
-4.6875 + x = 6.131692772

Solving for variable 'x'.

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

Add '4.6875' to each side of the equation.
-4.6875 + 4.6875 + x = 6.131692772 + 4.6875

Combine like terms: -4.6875 + 4.6875 = 0.0000
0.0000 + x = 6.131692772 + 4.6875
x = 6.131692772 + 4.6875

Combine like terms: 6.131692772 + 4.6875 = 10.819192772
x = 10.819192772

Simplifying
x = 10.819192772


Subproblem 2
x + -4.6875 = -6.131692772

Simplifying
x + -4.6875 = -6.131692772

Reorder the terms:
-4.6875 + x = -6.131692772

Solving
-4.6875 + x = -6.131692772

Solving for variable 'x'.

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

Add '4.6875' to each side of the equation.
-4.6875 + 4.6875 + x = -6.131692772 + 4.6875

Combine like terms: -4.6875 + 4.6875 = 0.0000
0.0000 + x = -6.131692772 + 4.6875
x = -6.131692772 + 4.6875

Combine like terms: -6.131692772 + 4.6875 = -1.444192772
x = -1.444192772

Simplifying
x = -1.444192772


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {10.819192772, -1.444192772}
Solution
x = {10.819192772, -1.444192772}

See similar equations:

| 7-(k-4)=2k-35 | | -40-40(2x+5)=-61 | | 18x-6=2(6x+22) | | X+(x-18)=180 | | -9x-18y=36 | | 3(-6)-y=-17 | | -20+-4x=-2(4x+-4) | | 5000=-p^2+120p+1400 | | p(0)=2.5p(1) | | 2x+40=2/11x | | 3n+6=210 | | 2(2x+1)+2(3x+3)=78 | | -16x^2-150x+250=0 | | 2/5+1/3= | | 3p=2p+72 | | 5a(a-3)-7(a-3)=0 | | 10x+10y=200 | | -4+6y=-12 | | 20.1=24.6+a(17.02) | | 4(3+2m)-6(-8x-3)= | | 1/2d-3=2 | | g-4g=-5 | | 20-k=9 | | (5x-20)=(4x) | | x=sqrt(4x+12) | | 0.3(x+20)-0.02(x-10)=-2.2 | | 20-k= | | f(x)=ln(8) | | 28x^2=3x+1 | | -(f+5)=-14 | | 10x-y=-23 | | f(x)=-x^2+3x+18 |

Equations solver categories