6x^2+15x+75=0

Simple and best practice solution for 6x^2+15x+75=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 6x^2+15x+75=0 equation: 


Simplifying
6x2 + 15x + 75 = 0

Reorder the terms:
75 + 15x + 6x2 = 0

Solving
75 + 15x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(25 + 5x + 2x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(25 + 5x + 2x2)' equal to zero and attempt to solve:

Simplifying
25 + 5x + 2x2 = 0

Solving
25 + 5x + 2x2 = 0

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

Divide each side by '2'.
12.5 + 2.5x + x2 = 0

Move the constant term to the right:

Add '-12.5' to each side of the equation.
12.5 + 2.5x + -12.5 + x2 = 0 + -12.5

Reorder the terms:
12.5 + -12.5 + 2.5x + x2 = 0 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + 2.5x + x2 = 0 + -12.5
2.5x + x2 = 0 + -12.5

Combine like terms: 0 + -12.5 = -12.5
2.5x + x2 = -12.5

The x term is 2.5x.  Take half its coefficient (1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
2.5x + 1.5625 + x2 = -12.5 + 1.5625

Reorder the terms:
1.5625 + 2.5x + x2 = -12.5 + 1.5625

Combine like terms: -12.5 + 1.5625 = -10.9375
1.5625 + 2.5x + x2 = -10.9375

Factor a perfect square on the left side:
(x + 1.25)(x + 1.25) = -10.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| A=(a+b)forb | | 11x+17y=-14 | | 3=x^2+3x-7 | | f(-1)=5+2x | | 1.4h+3=2+h | | A=(a+b)fora | | 3=x^2+3x+11-7 | | An=5n^2-10 | | -3.9=x/6 | | 0.35a=28 | | 2x+5=y-4 | | 4(6x+7)=44 | | x=208+-1y | | Y-4=2x+5 | | 56-x=-52 | | z/6-7=-5 | | 2m-e=m | | 1-(5/7) | | 5x/3=9/27 | | 1/6-7=-5 | | 12g-6(4-g)=16g+4 | | (x)+(4x-17)+(5x)=180 | | 4x^2-20x+57=0 | | 10=8*3-2*5c | | (x+9)(2x+1)+(x+6)(8x+2)=4(2x+1)(8x+2) | | 3x-2(4)=13 | | 3(-1)-2y=13 | | (x)+(x+82)+(x-13)=180 | | -4(a-4)=64 | | 4/5*-10 | | (2x-2)(5x+5)-(x-8)(-4x-6)=(x-8)(5x+5) | | 114+x=180 |

Equations solver categories