2x^2+23x-30=0

Simple and best practice solution for 2x^2+23x-30=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+23x-30=0 equation: 


Simplifying
2x2 + 23x + -30 = 0

Reorder the terms:
-30 + 23x + 2x2 = 0

Solving
-30 + 23x + 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'.
-15 + 11.5x + x2 = 0

Move the constant term to the right:

Add '15' to each side of the equation.
-15 + 11.5x + 15 + x2 = 0 + 15

Reorder the terms:
-15 + 15 + 11.5x + x2 = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 11.5x + x2 = 0 + 15
11.5x + x2 = 0 + 15

Combine like terms: 0 + 15 = 15
11.5x + x2 = 15

The x term is 11.5x.  Take half its coefficient (5.75).
Square it (33.0625) and add it to both sides.

Add '33.0625' to each side of the equation.
11.5x + 33.0625 + x2 = 15 + 33.0625

Reorder the terms:
33.0625 + 11.5x + x2 = 15 + 33.0625

Combine like terms: 15 + 33.0625 = 48.0625
33.0625 + 11.5x + x2 = 48.0625

Factor a perfect square on the left side:
(x + 5.75)(x + 5.75) = 48.0625

Calculate the square root of the right side: 6.932712312

Break this problem into two subproblems by setting 
(x + 5.75) equal to 6.932712312 and -6.932712312.


Subproblem 1
x + 5.75 = 6.932712312

Simplifying
x + 5.75 = 6.932712312

Reorder the terms:
5.75 + x = 6.932712312

Solving
5.75 + x = 6.932712312

Solving for variable 'x'.

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

Add '-5.75' to each side of the equation.
5.75 + -5.75 + x = 6.932712312 + -5.75

Combine like terms: 5.75 + -5.75 = 0.00
0.00 + x = 6.932712312 + -5.75
x = 6.932712312 + -5.75

Combine like terms: 6.932712312 + -5.75 = 1.182712312
x = 1.182712312

Simplifying
x = 1.182712312


Subproblem 2
x + 5.75 = -6.932712312

Simplifying
x + 5.75 = -6.932712312

Reorder the terms:
5.75 + x = -6.932712312

Solving
5.75 + x = -6.932712312

Solving for variable 'x'.

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

Add '-5.75' to each side of the equation.
5.75 + -5.75 + x = -6.932712312 + -5.75

Combine like terms: 5.75 + -5.75 = 0.00
0.00 + x = -6.932712312 + -5.75
x = -6.932712312 + -5.75

Combine like terms: -6.932712312 + -5.75 = -12.682712312
x = -12.682712312

Simplifying
x = -12.682712312


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.182712312, -12.682712312}

See similar equations:

| Y-41=-41 | | a+2(-8+a)= | | 11x-16=105 | | ln(6x)=ln(x^2-16) | | 5.4q-1.9-5.6q=1.2q-3.3 | | -2(-4+c)= | | -5=3x-14 | | -5(p-5)= | | 9x(5+3)= | | x^2+15x-154=0 | | (-4x)-(4*(3x)+5)=-84 | | -16t^2+32t-17=0 | | (-4x)-(4x(3x)+5)=-84 | | -0.666666667(5p-16)=10 | | x+9x-13=17 | | -4x+6=24 | | -3x=5x+17 | | 5(6+x)=40 | | 123=y+168 | | 2x-4.6=x+2.8 | | 8(x+3)-6x=52 | | 7x-5x=-42 | | 3(x-9)=-27 | | 2(n-3)+2= | | 8x-7-7x= | | a=b+c | | 4x+6=882 | | 2x+4x=4+1 | | y=0+2(-1) | | 12y^2-48=0 | | 5x^2-23y+12= | | -0.625+m=0.333333333333333 |

Equations solver categories