-16x^2+276x-178=0

Simple and best practice solution for -16x^2+276x-178=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+276x-178=0 equation: 


Simplifying
-16x2 + 276x + -178 = 0

Reorder the terms:
-178 + 276x + -16x2 = 0

Solving
-178 + 276x + -16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-89 + 138x + -8x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-89 + 138x + -8x2)' equal to zero and attempt to solve:

Simplifying
-89 + 138x + -8x2 = 0

Solving
-89 + 138x + -8x2 = 0

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

Divide each side by '-8'.
11.125 + -17.25x + x2 = 0

Move the constant term to the right:

Add '-11.125' to each side of the equation.
11.125 + -17.25x + -11.125 + x2 = 0 + -11.125

Reorder the terms:
11.125 + -11.125 + -17.25x + x2 = 0 + -11.125

Combine like terms: 11.125 + -11.125 = 0.000
0.000 + -17.25x + x2 = 0 + -11.125
-17.25x + x2 = 0 + -11.125

Combine like terms: 0 + -11.125 = -11.125
-17.25x + x2 = -11.125

The x term is -17.25x.  Take half its coefficient (-8.625).
Square it (74.390625) and add it to both sides.

Add '74.390625' to each side of the equation.
-17.25x + 74.390625 + x2 = -11.125 + 74.390625

Reorder the terms:
74.390625 + -17.25x + x2 = -11.125 + 74.390625

Combine like terms: -11.125 + 74.390625 = 63.265625
74.390625 + -17.25x + x2 = 63.265625

Factor a perfect square on the left side:
(x + -8.625)(x + -8.625) = 63.265625

Calculate the square root of the right side: 7.953969135

Break this problem into two subproblems by setting 
(x + -8.625) equal to 7.953969135 and -7.953969135.


Subproblem 1
x + -8.625 = 7.953969135

Simplifying
x + -8.625 = 7.953969135

Reorder the terms:
-8.625 + x = 7.953969135

Solving
-8.625 + x = 7.953969135

Solving for variable 'x'.

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

Add '8.625' to each side of the equation.
-8.625 + 8.625 + x = 7.953969135 + 8.625

Combine like terms: -8.625 + 8.625 = 0.000
0.000 + x = 7.953969135 + 8.625
x = 7.953969135 + 8.625

Combine like terms: 7.953969135 + 8.625 = 16.578969135
x = 16.578969135

Simplifying
x = 16.578969135


Subproblem 2
x + -8.625 = -7.953969135

Simplifying
x + -8.625 = -7.953969135

Reorder the terms:
-8.625 + x = -7.953969135

Solving
-8.625 + x = -7.953969135

Solving for variable 'x'.

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

Add '8.625' to each side of the equation.
-8.625 + 8.625 + x = -7.953969135 + 8.625

Combine like terms: -8.625 + 8.625 = 0.000
0.000 + x = -7.953969135 + 8.625
x = -7.953969135 + 8.625

Combine like terms: -7.953969135 + 8.625 = 0.671030865
x = 0.671030865

Simplifying
x = 0.671030865


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {16.578969135, 0.671030865}
Solution
x = {16.578969135, 0.671030865}

See similar equations:

| f+3?=12? | | s+4/5=-1/5 | | (k+3)/4=k/3 | | 3n-13=8n+7 | | -16x^2+215x-178=0 | | 2x+9x=3x+3 | | e+3/16=5/16 | | e+13/16=5/15 | | -4(1q+x)=-3(5-x) | | -14=-4(9x+1) | | 8x+5x-1x+3-x=48 | | p-5=-9+p | | 7+x=50 | | 15x=1/3 | | -4(1q+x)=-3(5-z) | | 6/5(8x+2)=36 | | 9x4y7/3x6 | | -16x^2+215x+14=0 | | l=(c+3d)/7 | | 9(3-8f)-2f= | | k+3/4=k/3 | | 12-0.8(x+15)=14 | | 4x-2=14+2x | | 25+16=15-25 | | 3(2a-b)-(5b-3a)= | | 24x+9*2-12/4=23-2*4*-2x | | 2x+3=162 | | 14x-44=20x-2 | | 22.59=3s+4.41 | | 13-5m+6m=4 | | 6=-x | | 2f-3g=4hforg |

Equations solver categories