15x^2-16x-25=0

Simple and best practice solution for 15x^2-16x-25=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 15x^2-16x-25=0 equation: 


Simplifying
15x2 + -16x + -25 = 0

Reorder the terms:
-25 + -16x + 15x2 = 0

Solving
-25 + -16x + 15x2 = 0

Solving for variable 'x'.

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

Divide each side by '15'.
-1.666666667 + -1.066666667x + x2 = 0

Move the constant term to the right:

Add '1.666666667' to each side of the equation.
-1.666666667 + -1.066666667x + 1.666666667 + x2 = 0 + 1.666666667

Reorder the terms:
-1.666666667 + 1.666666667 + -1.066666667x + x2 = 0 + 1.666666667

Combine like terms: -1.666666667 + 1.666666667 = 0.000000000
0.000000000 + -1.066666667x + x2 = 0 + 1.666666667
-1.066666667x + x2 = 0 + 1.666666667

Combine like terms: 0 + 1.666666667 = 1.666666667
-1.066666667x + x2 = 1.666666667

The x term is -1.066666667x.  Take half its coefficient (-0.5333333335).
Square it (0.2844444446) and add it to both sides.

Add '0.2844444446' to each side of the equation.
-1.066666667x + 0.2844444446 + x2 = 1.666666667 + 0.2844444446

Reorder the terms:
0.2844444446 + -1.066666667x + x2 = 1.666666667 + 0.2844444446

Combine like terms: 1.666666667 + 0.2844444446 = 1.9511111116
0.2844444446 + -1.066666667x + x2 = 1.9511111116

Factor a perfect square on the left side:
(x + -0.5333333335)(x + -0.5333333335) = 1.9511111116

Calculate the square root of the right side: 1.396821789

Break this problem into two subproblems by setting 
(x + -0.5333333335) equal to 1.396821789 and -1.396821789.


Subproblem 1
x + -0.5333333335 = 1.396821789

Simplifying
x + -0.5333333335 = 1.396821789

Reorder the terms:
-0.5333333335 + x = 1.396821789

Solving
-0.5333333335 + x = 1.396821789

Solving for variable 'x'.

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

Add '0.5333333335' to each side of the equation.
-0.5333333335 + 0.5333333335 + x = 1.396821789 + 0.5333333335

Combine like terms: -0.5333333335 + 0.5333333335 = 0.0000000000
0.0000000000 + x = 1.396821789 + 0.5333333335
x = 1.396821789 + 0.5333333335

Combine like terms: 1.396821789 + 0.5333333335 = 1.9301551225
x = 1.9301551225

Simplifying
x = 1.9301551225


Subproblem 2
x + -0.5333333335 = -1.396821789

Simplifying
x + -0.5333333335 = -1.396821789

Reorder the terms:
-0.5333333335 + x = -1.396821789

Solving
-0.5333333335 + x = -1.396821789

Solving for variable 'x'.

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

Add '0.5333333335' to each side of the equation.
-0.5333333335 + 0.5333333335 + x = -1.396821789 + 0.5333333335

Combine like terms: -0.5333333335 + 0.5333333335 = 0.0000000000
0.0000000000 + x = -1.396821789 + 0.5333333335
x = -1.396821789 + 0.5333333335

Combine like terms: -1.396821789 + 0.5333333335 = -0.8634884555
x = -0.8634884555

Simplifying
x = -0.8634884555


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.9301551225, -0.8634884555}

See similar equations:

| 4(a+2)+9=5 | | 12+4n=44 | | 250=3c-20 | | 8(5x-2)+3(4-6x)-2x=3-(2-x)+4(x-1) | | -2r-4=-12 | | 5y+32=4-13y | | 2x+7=7x-21 | | 2(a+4)+10=16 | | 100*10x=15x | | 5y+32=4 | | 9-12r=-99 | | -4ax+8y=5ax+y | | 7-5b=-8 | | (x^4)-3x^2+2=0 | | (2x-1)(3x^2-x-4)=0 | | 10=b(2b-3) | | (x^4)-(3x^2)+2=0 | | 9+2b=7 | | 2X+10=3x+4 | | 6h+10=28 | | 7x-5y=140 | | 6h+10= | | p-1=1 | | 5+4=28 | | 18x^2+6x-12=0 | | p+4=1 | | 6x-9=4+11 | | 2x^2+8t-64=0 | | 4(2b^2-3b+5)-3[2(b^2+5b-6)-3(2b^2-3b+1)]=0 | | -5y-7(-3y+8)=5+1(-3-y) | | n=14-n | | 2(x-6)=-6(2x+3) |

Equations solver categories