16x^2-12x-375=0

Simple and best practice solution for 16x^2-12x-375=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^2-12x-375=0 equation: 


Simplifying
16x2 + -12x + -375 = 0

Reorder the terms:
-375 + -12x + 16x2 = 0

Solving
-375 + -12x + 16x2 = 0

Solving for variable 'x'.

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

Divide each side by '16'.
-23.4375 + -0.75x + x2 = 0

Move the constant term to the right:

Add '23.4375' to each side of the equation.
-23.4375 + -0.75x + 23.4375 + x2 = 0 + 23.4375

Reorder the terms:
-23.4375 + 23.4375 + -0.75x + x2 = 0 + 23.4375

Combine like terms: -23.4375 + 23.4375 = 0.0000
0.0000 + -0.75x + x2 = 0 + 23.4375
-0.75x + x2 = 0 + 23.4375

Combine like terms: 0 + 23.4375 = 23.4375
-0.75x + x2 = 23.4375

The x term is -0.75x.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75x + 0.140625 + x2 = 23.4375 + 0.140625

Reorder the terms:
0.140625 + -0.75x + x2 = 23.4375 + 0.140625

Combine like terms: 23.4375 + 0.140625 = 23.578125
0.140625 + -0.75x + x2 = 23.578125

Factor a perfect square on the left side:
(x + -0.375)(x + -0.375) = 23.578125

Calculate the square root of the right side: 4.85573115

Break this problem into two subproblems by setting 
(x + -0.375) equal to 4.85573115 and -4.85573115.


Subproblem 1
x + -0.375 = 4.85573115

Simplifying
x + -0.375 = 4.85573115

Reorder the terms:
-0.375 + x = 4.85573115

Solving
-0.375 + x = 4.85573115

Solving for variable 'x'.

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

Add '0.375' to each side of the equation.
-0.375 + 0.375 + x = 4.85573115 + 0.375

Combine like terms: -0.375 + 0.375 = 0.000
0.000 + x = 4.85573115 + 0.375
x = 4.85573115 + 0.375

Combine like terms: 4.85573115 + 0.375 = 5.23073115
x = 5.23073115

Simplifying
x = 5.23073115


Subproblem 2
x + -0.375 = -4.85573115

Simplifying
x + -0.375 = -4.85573115

Reorder the terms:
-0.375 + x = -4.85573115

Solving
-0.375 + x = -4.85573115

Solving for variable 'x'.

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

Add '0.375' to each side of the equation.
-0.375 + 0.375 + x = -4.85573115 + 0.375

Combine like terms: -0.375 + 0.375 = 0.000
0.000 + x = -4.85573115 + 0.375
x = -4.85573115 + 0.375

Combine like terms: -4.85573115 + 0.375 = -4.48073115
x = -4.48073115

Simplifying
x = -4.48073115


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.23073115, -4.48073115}

See similar equations:

| xsquared-2x=146 | | 3(2y-1)=27 | | 12x=-29+89 | | b^2+8b=9 | | y=-3+18 | | 21m-12=100 | | -7(n+4)+30=-4n-4 | | 6x^2+8xy=250 | | (X+2)-x^2-40=0 | | gx^2+8xh=250 | | 39=7x+12+2x | | 4-7x=13-3x | | 12x=29+89 | | 3x+yoverc=4 | | 45=x(-9) | | 5(x+6)-9=3(6)-6+2x | | 6x-7x-10=0 | | 6xsquared-7x-10=0 | | P-31=-39 | | 4x+4y+3z-2x+2z-5y= | | -24=n^2-n-30 | | 0.05(x-8)=0.07x | | P-31=-31 | | 2(3x-1)=7-3(3x-2) | | 5x+12-14=4x+22 | | y=.5-2(0)2(1) | | (10-2x)(10-2x)x-72=x | | 5x=16-2y | | y=.5-2(0)2 | | 2(14.3-1.6y)-y=7 | | 2y-8x+12=0 | | (7-i)(4+2i)= |

Equations solver categories