16x^2-90x-288=0

Simple and best practice solution for 16x^2-90x-288=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^2-90x-288=0 equation: 


Simplifying
16x2 + -90x + -288 = 0

Reorder the terms:
-288 + -90x + 16x2 = 0

Solving
-288 + -90x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-144 + -45x + 8x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-144 + -45x + 8x2)' equal to zero and attempt to solve:

Simplifying
-144 + -45x + 8x2 = 0

Solving
-144 + -45x + 8x2 = 0

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

Divide each side by '8'.
-18 + -5.625x + x2 = 0

Move the constant term to the right:

Add '18' to each side of the equation.
-18 + -5.625x + 18 + x2 = 0 + 18

Reorder the terms:
-18 + 18 + -5.625x + x2 = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -5.625x + x2 = 0 + 18
-5.625x + x2 = 0 + 18

Combine like terms: 0 + 18 = 18
-5.625x + x2 = 18

The x term is -5.625x.  Take half its coefficient (-2.8125).
Square it (7.91015625) and add it to both sides.

Add '7.91015625' to each side of the equation.
-5.625x + 7.91015625 + x2 = 18 + 7.91015625

Reorder the terms:
7.91015625 + -5.625x + x2 = 18 + 7.91015625

Combine like terms: 18 + 7.91015625 = 25.91015625
7.91015625 + -5.625x + x2 = 25.91015625

Factor a perfect square on the left side:
(x + -2.8125)(x + -2.8125) = 25.91015625

Calculate the square root of the right side: 5.090201985

Break this problem into two subproblems by setting 
(x + -2.8125) equal to 5.090201985 and -5.090201985.


Subproblem 1
x + -2.8125 = 5.090201985

Simplifying
x + -2.8125 = 5.090201985

Reorder the terms:
-2.8125 + x = 5.090201985

Solving
-2.8125 + x = 5.090201985

Solving for variable 'x'.

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

Add '2.8125' to each side of the equation.
-2.8125 + 2.8125 + x = 5.090201985 + 2.8125

Combine like terms: -2.8125 + 2.8125 = 0.0000
0.0000 + x = 5.090201985 + 2.8125
x = 5.090201985 + 2.8125

Combine like terms: 5.090201985 + 2.8125 = 7.902701985
x = 7.902701985

Simplifying
x = 7.902701985


Subproblem 2
x + -2.8125 = -5.090201985

Simplifying
x + -2.8125 = -5.090201985

Reorder the terms:
-2.8125 + x = -5.090201985

Solving
-2.8125 + x = -5.090201985

Solving for variable 'x'.

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

Add '2.8125' to each side of the equation.
-2.8125 + 2.8125 + x = -5.090201985 + 2.8125

Combine like terms: -2.8125 + 2.8125 = 0.0000
0.0000 + x = -5.090201985 + 2.8125
x = -5.090201985 + 2.8125

Combine like terms: -5.090201985 + 2.8125 = -2.277701985
x = -2.277701985

Simplifying
x = -2.277701985


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {7.902701985, -2.277701985}
Solution
x = {7.902701985, -2.277701985}

See similar equations:

| 9(4p)-2(3q)+p=-1 | | -5/55 | | 1/8n=14 | | n+2n+(n-2)=84 | | 3+8*1.5=15 | | ln(x)+ln(x+28)=ln(29) | | (8/36)*81 | | 8=-1+3x | | 14x-(5-1)=2(7x-x) | | -15d^5+45d^3=0 | | 16x^2-60x-288=0 | | 8x-129=41-2x | | (.25*x)+(.85*y)=10 | | -3y=-26 | | 124-x=628 | | x=4x^2+18 | | 4(x-9)=2x-20 | | 6.3-7.5= | | 250=5x+10Y | | -6x^2=-9x+7 | | 3x-6y=26 | | y-5=.5(x+4) | | -18+26=y | | 2(k+4)-4k+5+4= | | -3(2x-4)=30 | | 6x-8+3x=36-2x | | 50y-3=+7-80 | | -7p-5=-33 | | x=6(5+4) | | (14u-6u-1)+(6u-2u+4)= | | 6x-16=-2x | | 4x-26=28+2x |

Equations solver categories