2x^2+6x-95=

Simple and best practice solution for 2x^2+6x-95= 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 2x^2+6x-95= equation:


Simplifying
2x2 + 6x + -95 = 0

Reorder the terms:
-95 + 6x + 2x2 = 0

Solving
-95 + 6x + 2x2 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
-47.5 + 3x + x2 = 0

Move the constant term to the right:

Add '47.5' to each side of the equation.
-47.5 + 3x + 47.5 + x2 = 0 + 47.5

Reorder the terms:
-47.5 + 47.5 + 3x + x2 = 0 + 47.5

Combine like terms: -47.5 + 47.5 = 0.0
0.0 + 3x + x2 = 0 + 47.5
3x + x2 = 0 + 47.5

Combine like terms: 0 + 47.5 = 47.5
3x + x2 = 47.5

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = 47.5 + 2.25

Reorder the terms:
2.25 + 3x + x2 = 47.5 + 2.25

Combine like terms: 47.5 + 2.25 = 49.75
2.25 + 3x + x2 = 49.75

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = 49.75

Calculate the square root of the right side: 7.05336799

Break this problem into two subproblems by setting 
(x + 1.5) equal to 7.05336799 and -7.05336799.

Subproblem 1

x + 1.5 = 7.05336799 Simplifying x + 1.5 = 7.05336799 Reorder the terms: 1.5 + x = 7.05336799 Solving 1.5 + x = 7.05336799 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = 7.05336799 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = 7.05336799 + -1.5 x = 7.05336799 + -1.5 Combine like terms: 7.05336799 + -1.5 = 5.55336799 x = 5.55336799 Simplifying x = 5.55336799

Subproblem 2

x + 1.5 = -7.05336799 Simplifying x + 1.5 = -7.05336799 Reorder the terms: 1.5 + x = -7.05336799 Solving 1.5 + x = -7.05336799 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = -7.05336799 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = -7.05336799 + -1.5 x = -7.05336799 + -1.5 Combine like terms: -7.05336799 + -1.5 = -8.55336799 x = -8.55336799 Simplifying x = -8.55336799

Solution

The solution to the problem is based on the solutions from the subproblems. x = {5.55336799, -8.55336799}

See similar equations:

| xy+4y=5 | | loga(4x-7)+loga(x^2+4)=0 | | 5(x+1)+6=3(4+x)+(2x-1) | | 3/7x-15=-21 | | X-2/20=4/5 | | 528=-6(6x-10) | | 2.2x^2+6x-95= | | -6x+3(3+3x)=9+3x | | -74-8x=-234 | | 2(b+1)-(8+b)=-5 | | v^2+5v+16=0 | | 10(48)+16y=480 | | 10x+16y=480 | | 7squared+(5-10)=n+2cubed | | 8-12x-6+5x=35 | | 8x+9y=216 | | 17.5=W/7 | | Y=9x-4/2 | | X-49=-67 | | -12x-26/-7=26 | | 2*10+m*5=45 | | .08(1-x)=.06 | | 3(4n-2)=12n | | 12x+9=2x-4 | | 4n+5n+12=75 | | 3(2m+11)=6m+33 | | -6y+10=3y-12 | | u=1/7xh | | x/9=(x/10)-7 | | 3(x+6)=6x+5-3x+13 | | 8x+10=5x-15 | | -3x-11=12 |

Equations solver categories