2x^2+15x+10=0

Simple and best practice solution for 2x^2+15x+10=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 2x^2+15x+10=0 equation: 


Simplifying
2x2 + 15x + 10 = 0

Reorder the terms:
10 + 15x + 2x2 = 0

Solving
10 + 15x + 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'.
5 + 7.5x + x2 = 0

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + 7.5x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + 7.5x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 7.5x + x2 = 0 + -5
7.5x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
7.5x + x2 = -5

The x term is 7.5x.  Take half its coefficient (3.75).
Square it (14.0625) and add it to both sides.

Add '14.0625' to each side of the equation.
7.5x + 14.0625 + x2 = -5 + 14.0625

Reorder the terms:
14.0625 + 7.5x + x2 = -5 + 14.0625

Combine like terms: -5 + 14.0625 = 9.0625
14.0625 + 7.5x + x2 = 9.0625

Factor a perfect square on the left side:
(x + 3.75)(x + 3.75) = 9.0625

Calculate the square root of the right side: 3.010398645

Break this problem into two subproblems by setting 
(x + 3.75) equal to 3.010398645 and -3.010398645.


Subproblem 1
x + 3.75 = 3.010398645

Simplifying
x + 3.75 = 3.010398645

Reorder the terms:
3.75 + x = 3.010398645

Solving
3.75 + x = 3.010398645

Solving for variable 'x'.

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

Add '-3.75' to each side of the equation.
3.75 + -3.75 + x = 3.010398645 + -3.75

Combine like terms: 3.75 + -3.75 = 0.00
0.00 + x = 3.010398645 + -3.75
x = 3.010398645 + -3.75

Combine like terms: 3.010398645 + -3.75 = -0.739601355
x = -0.739601355

Simplifying
x = -0.739601355


Subproblem 2
x + 3.75 = -3.010398645

Simplifying
x + 3.75 = -3.010398645

Reorder the terms:
3.75 + x = -3.010398645

Solving
3.75 + x = -3.010398645

Solving for variable 'x'.

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

Add '-3.75' to each side of the equation.
3.75 + -3.75 + x = -3.010398645 + -3.75

Combine like terms: 3.75 + -3.75 = 0.00
0.00 + x = -3.010398645 + -3.75
x = -3.010398645 + -3.75

Combine like terms: -3.010398645 + -3.75 = -6.760398645
x = -6.760398645

Simplifying
x = -6.760398645


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.739601355, -6.760398645}

See similar equations:

| -5-5x-8x=-18 | | f(-3)+f(3)= | | 2n+17=54 | | m^2-14m+15=0 | | 100x+12y=2349 | | x^2-2x-3=6 | | 10(t-4)+8t=6(3t+4)-11 | | M=dv | | ln(K)=3.4 | | x=y^2+(logp) | | 3x+y-5=o | | (0.04w)1/2 | | z=8*x*y | | -3(7p+5)-2(6-20p)=3(5+6p) | | 2/3=z15 | | 4.4-3.3e=-2.2 | | 4.4-3.3=-2.2y | | x(8-3)-2=26+x | | 1-4/x=3 | | 4.4-3.3=-2.2 | | 3y+6+0.57=41 | | .6x-.5x+11=12.1 | | -5=-4b-b | | .26x+.18x=-3.08 | | 1/4=y12 | | 0.5+0.2=0.7 | | -6.7(2s+6)-1.8(3s-5)= | | X^2-5kx+3=0 | | sqrt(7x)=12 | | r/72=103/25 | | 25k-12=0 | | 3x+4y+12=o |

Equations solver categories