-16(x^2)+24x+50=0

Simple and best practice solution for -16(x^2)+24x+50=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 -16(x^2)+24x+50=0 equation: 


Simplifying
-16(x2) + 24x + 50 = 0

Reorder the terms:
50 + 24x + -16x2 = 0

Solving
50 + 24x + -16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(25 + 12x + -8x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(25 + 12x + -8x2)' equal to zero and attempt to solve:

Simplifying
25 + 12x + -8x2 = 0

Solving
25 + 12x + -8x2 = 0

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

Divide each side by '-8'.
-3.125 + -1.5x + x2 = 0

Move the constant term to the right:

Add '3.125' to each side of the equation.
-3.125 + -1.5x + 3.125 + x2 = 0 + 3.125

Reorder the terms:
-3.125 + 3.125 + -1.5x + x2 = 0 + 3.125

Combine like terms: -3.125 + 3.125 = 0.000
0.000 + -1.5x + x2 = 0 + 3.125
-1.5x + x2 = 0 + 3.125

Combine like terms: 0 + 3.125 = 3.125
-1.5x + x2 = 3.125

The x term is -1.5x.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5x + 0.5625 + x2 = 3.125 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = 3.125 + 0.5625

Combine like terms: 3.125 + 0.5625 = 3.6875
0.5625 + -1.5x + x2 = 3.6875

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = 3.6875

Calculate the square root of the right side: 1.920286437

Break this problem into two subproblems by setting 
(x + -0.75) equal to 1.920286437 and -1.920286437.


Subproblem 1
x + -0.75 = 1.920286437

Simplifying
x + -0.75 = 1.920286437

Reorder the terms:
-0.75 + x = 1.920286437

Solving
-0.75 + x = 1.920286437

Solving for variable 'x'.

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

Add '0.75' to each side of the equation.
-0.75 + 0.75 + x = 1.920286437 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + x = 1.920286437 + 0.75
x = 1.920286437 + 0.75

Combine like terms: 1.920286437 + 0.75 = 2.670286437
x = 2.670286437

Simplifying
x = 2.670286437


Subproblem 2
x + -0.75 = -1.920286437

Simplifying
x + -0.75 = -1.920286437

Reorder the terms:
-0.75 + x = -1.920286437

Solving
-0.75 + x = -1.920286437

Solving for variable 'x'.

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

Add '0.75' to each side of the equation.
-0.75 + 0.75 + x = -1.920286437 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + x = -1.920286437 + 0.75
x = -1.920286437 + 0.75

Combine like terms: -1.920286437 + 0.75 = -1.170286437
x = -1.170286437

Simplifying
x = -1.170286437


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.670286437, -1.170286437}
Solution
x = {2.670286437, -1.170286437}

See similar equations:

| -3p+6=q+zforq | | 15-3(y+5-7)= | | (2x+2)=180 | | -3p+6=q+z | | -6w+3(w-8)=-18 | | 10m+2+7m-3+5m= | | -(1-x)-5(3x+7)=-36 | | 3(x-1)=5(x+6)-10 | | 7y*2x= | | 8(r+9)+7r= | | 4[5-4(3-t)]-2=5[4(5t-4)+13]-38 | | a+2b+2c=540 | | -86-2(11b)+4(5b)+26= | | 10x^2+13x+9=0 | | (4x+9)=90 | | 8x=9+8x | | -5x^2-40x-72=0 | | c+6+4c-3+4= | | -2x+8+3x=10-34 | | k+13=35 | | j-86=9 | | -6x+10x=3x+7 | | 7p-6+8p-2-2p= | | 8x+13=7x+5 | | (7x+4)=90 | | y=0.6*x+7 | | 3+2s-4+3s= | | 8.4(x-2.5)=-25.2 | | 6-2(3x+4)=8x-(5-6) | | 21x=378 | | 4a-8b-25a+20b= | | 3a-4+5a+7+2(a-1)= |

Equations solver categories