1.5x^2+8x-36=0

Simple and best practice solution for 1.5x^2+8x-36=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 1.5x^2+8x-36=0 equation: 


Simplifying
1.5x2 + 8x + -36 = 0

Reorder the terms:
-36 + 8x + 1.5x2 = 0

Solving
-36 + 8x + 1.5x2 = 0

Solving for variable 'x'.

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

Divide each side by '1.5'.
-24 + 5.333333333x + x2 = 0

Move the constant term to the right:

Add '24' to each side of the equation.
-24 + 5.333333333x + 24 + x2 = 0 + 24

Reorder the terms:
-24 + 24 + 5.333333333x + x2 = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 5.333333333x + x2 = 0 + 24
5.333333333x + x2 = 0 + 24

Combine like terms: 0 + 24 = 24
5.333333333x + x2 = 24

The x term is 5.333333333x.  Take half its coefficient (2.666666667).
Square it (7.111111113) and add it to both sides.

Add '7.111111113' to each side of the equation.
5.333333333x + 7.111111113 + x2 = 24 + 7.111111113

Reorder the terms:
7.111111113 + 5.333333333x + x2 = 24 + 7.111111113

Combine like terms: 24 + 7.111111113 = 31.111111113
7.111111113 + 5.333333333x + x2 = 31.111111113

Factor a perfect square on the left side:
(x + 2.666666667)(x + 2.666666667) = 31.111111113

Calculate the square root of the right side: 5.57773351

Break this problem into two subproblems by setting 
(x + 2.666666667) equal to 5.57773351 and -5.57773351.


Subproblem 1
x + 2.666666667 = 5.57773351

Simplifying
x + 2.666666667 = 5.57773351

Reorder the terms:
2.666666667 + x = 5.57773351

Solving
2.666666667 + x = 5.57773351

Solving for variable 'x'.

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

Add '-2.666666667' to each side of the equation.
2.666666667 + -2.666666667 + x = 5.57773351 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + x = 5.57773351 + -2.666666667
x = 5.57773351 + -2.666666667

Combine like terms: 5.57773351 + -2.666666667 = 2.911066843
x = 2.911066843

Simplifying
x = 2.911066843


Subproblem 2
x + 2.666666667 = -5.57773351

Simplifying
x + 2.666666667 = -5.57773351

Reorder the terms:
2.666666667 + x = -5.57773351

Solving
2.666666667 + x = -5.57773351

Solving for variable 'x'.

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

Add '-2.666666667' to each side of the equation.
2.666666667 + -2.666666667 + x = -5.57773351 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + x = -5.57773351 + -2.666666667
x = -5.57773351 + -2.666666667

Combine like terms: -5.57773351 + -2.666666667 = -8.244400177
x = -8.244400177

Simplifying
x = -8.244400177


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.911066843, -8.244400177}

See similar equations:

| -2n^2-7n=0 | | 2+4-(1+3)+1= | | -2n^2-7v=0 | | 5g-37-5g= | | 3y-4x=7 | | m+4m+9m-9= | | 3b-4-12-8= | | 41.0034+0.34+1.00= | | P-(-24)=-31 | | Y=11x-13 | | -72m=2088 | | -156=-6x | | 10=23-n | | 81x^2=-4 | | 0.7x+0.3=0.9x-0.9 | | 3x+2.7=23.7 | | -1.4-(-2.3)= | | 1.1+1.9+4.7= | | X+y+xy=49 | | -3+(-1.7)= | | 0.02(y-7)+0.18y=0.12y-0.3 | | 6.78j-5.2=3.8t+26.8 | | 5x-9x=6x+6+5x | | 9x-29-3x+11=5x+9 | | 7+2(x-4)=11x-4(x-2) | | 2(w-6)-(5-7w)=8w | | 20x+6-5x-29=-5x-23 | | 0x^2+2x+14=y | | -4+x=2-x | | 2(n+6)=5(n-3) | | 5(x+4)+5=5x+2 | | 14x+20+5x-10=18x-7 |

Equations solver categories