-16x^2+20x+146=0

Simple and best practice solution for -16x^2+20x+146=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+20x+146=0 equation: 


Simplifying
-16x2 + 20x + 146 = 0

Reorder the terms:
146 + 20x + -16x2 = 0

Solving
146 + 20x + -16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(73 + 10x + -8x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(73 + 10x + -8x2)' equal to zero and attempt to solve:

Simplifying
73 + 10x + -8x2 = 0

Solving
73 + 10x + -8x2 = 0

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

Divide each side by '-8'.
-9.125 + -1.25x + x2 = 0

Move the constant term to the right:

Add '9.125' to each side of the equation.
-9.125 + -1.25x + 9.125 + x2 = 0 + 9.125

Reorder the terms:
-9.125 + 9.125 + -1.25x + x2 = 0 + 9.125

Combine like terms: -9.125 + 9.125 = 0.000
0.000 + -1.25x + x2 = 0 + 9.125
-1.25x + x2 = 0 + 9.125

Combine like terms: 0 + 9.125 = 9.125
-1.25x + x2 = 9.125

The x term is -1.25x.  Take half its coefficient (-0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
-1.25x + 0.390625 + x2 = 9.125 + 0.390625

Reorder the terms:
0.390625 + -1.25x + x2 = 9.125 + 0.390625

Combine like terms: 9.125 + 0.390625 = 9.515625
0.390625 + -1.25x + x2 = 9.515625

Factor a perfect square on the left side:
(x + -0.625)(x + -0.625) = 9.515625

Calculate the square root of the right side: 3.08474067

Break this problem into two subproblems by setting 
(x + -0.625) equal to 3.08474067 and -3.08474067.


Subproblem 1
x + -0.625 = 3.08474067

Simplifying
x + -0.625 = 3.08474067

Reorder the terms:
-0.625 + x = 3.08474067

Solving
-0.625 + x = 3.08474067

Solving for variable 'x'.

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

Add '0.625' to each side of the equation.
-0.625 + 0.625 + x = 3.08474067 + 0.625

Combine like terms: -0.625 + 0.625 = 0.000
0.000 + x = 3.08474067 + 0.625
x = 3.08474067 + 0.625

Combine like terms: 3.08474067 + 0.625 = 3.70974067
x = 3.70974067

Simplifying
x = 3.70974067


Subproblem 2
x + -0.625 = -3.08474067

Simplifying
x + -0.625 = -3.08474067

Reorder the terms:
-0.625 + x = -3.08474067

Solving
-0.625 + x = -3.08474067

Solving for variable 'x'.

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

Add '0.625' to each side of the equation.
-0.625 + 0.625 + x = -3.08474067 + 0.625

Combine like terms: -0.625 + 0.625 = 0.000
0.000 + x = -3.08474067 + 0.625
x = -3.08474067 + 0.625

Combine like terms: -3.08474067 + 0.625 = -2.45974067
x = -2.45974067

Simplifying
x = -2.45974067


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.70974067, -2.45974067}
Solution
x = {3.70974067, -2.45974067}

See similar equations:

| 5/2x+7=22 | | 5.2x-1.4y=6.4 | | -8c=64 | | Mx=4x+15 | | 1/2x+6=4x | | 4(x+3)-6x=2(x+6) | | 6x+15=4x+25 | | Fx=24 | | 0=x^2+11x+14 | | 4h+5500=15h | | 3x+36=51 | | 14d=-42 | | (7+x)-4=-1 | | v/12-10=-8 | | -112=-2(6x+8) | | Fx=3x | | 120=4(4x+2) | | 2x+18=34 | | x^2-9x+c= | | (3x-2y+4)dx-(2x+7y-1)dy=0 | | Hx=63 | | 400=8(1+7x) | | 8x^3-12x^2-720x=0 | | (b+25)+b+(3*b)=435 | | (X-3)=13 | | 4x+6y=28 | | 3(x-4)=2x-(3x-4) | | 2x-3/x=5 | | Hx=-7x | | 1.5+2x=4x-2.5 | | -9a+8-2a+12=-9a+-27-6a+-9 | | b/3-9=-2 |

Equations solver categories