0.3X^2+7.5X-2.5=0

Simple and best practice solution for 0.3X^2+7.5X-2.5=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 0.3X^2+7.5X-2.5=0 equation: 


Simplifying
0.3X2 + 7.5X + -2.5 = 0

Reorder the terms:
-2.5 + 7.5X + 0.3X2 = 0

Solving
-2.5 + 7.5X + 0.3X2 = 0

Solving for variable 'X'.

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

Divide each side by '0.3'.
-8.333333333 + 25X + X2 = 0

Move the constant term to the right:

Add '8.333333333' to each side of the equation.
-8.333333333 + 25X + 8.333333333 + X2 = 0 + 8.333333333

Reorder the terms:
-8.333333333 + 8.333333333 + 25X + X2 = 0 + 8.333333333

Combine like terms: -8.333333333 + 8.333333333 = 0.000000000
0.000000000 + 25X + X2 = 0 + 8.333333333
25X + X2 = 0 + 8.333333333

Combine like terms: 0 + 8.333333333 = 8.333333333
25X + X2 = 8.333333333

The X term is 25X.  Take half its coefficient (12.5).
Square it (156.25) and add it to both sides.

Add '156.25' to each side of the equation.
25X + 156.25 + X2 = 8.333333333 + 156.25

Reorder the terms:
156.25 + 25X + X2 = 8.333333333 + 156.25

Combine like terms: 8.333333333 + 156.25 = 164.583333333
156.25 + 25X + X2 = 164.583333333

Factor a perfect square on the left side:
(X + 12.5)(X + 12.5) = 164.583333333

Calculate the square root of the right side: 12.829003599

Break this problem into two subproblems by setting 
(X + 12.5) equal to 12.829003599 and -12.829003599.


Subproblem 1
X + 12.5 = 12.829003599

Simplifying
X + 12.5 = 12.829003599

Reorder the terms:
12.5 + X = 12.829003599

Solving
12.5 + X = 12.829003599

Solving for variable 'X'.

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

Add '-12.5' to each side of the equation.
12.5 + -12.5 + X = 12.829003599 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + X = 12.829003599 + -12.5
X = 12.829003599 + -12.5

Combine like terms: 12.829003599 + -12.5 = 0.329003599
X = 0.329003599

Simplifying
X = 0.329003599


Subproblem 2
X + 12.5 = -12.829003599

Simplifying
X + 12.5 = -12.829003599

Reorder the terms:
12.5 + X = -12.829003599

Solving
12.5 + X = -12.829003599

Solving for variable 'X'.

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

Add '-12.5' to each side of the equation.
12.5 + -12.5 + X = -12.829003599 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + X = -12.829003599 + -12.5
X = -12.829003599 + -12.5

Combine like terms: -12.829003599 + -12.5 = -25.329003599
X = -25.329003599

Simplifying
X = -25.329003599


Solution
The solution to the problem is based on the solutions
from the subproblems.
X = {0.329003599, -25.329003599}

See similar equations:

| 6n-6n= | | Yx=x+3 | | 3x-2y+z=4 | | -3=3(x+2) | | 4x+7-3x=3 | | 20+37x=-1497 | | 1x-2.6x-11=21 | | 33=4x+2x-3 | | 7.5y=1000 | | 1160x+300(11x)=11040 | | 1x-2.6-11=22 | | 3x^2-18x+9=11 | | x(9x+3)=4x^2-5x+21 | | 3-wx=vx+2 | | Y=x/x-4 | | 6=12/(2y) | | 4p-1=2p+20 | | X/4-x/7=9/14 | | 4=-2(2-2n) | | -2x+7=5-(9x+6) | | 57y+140=57y-100 | | -2-3x=7 | | 2(3x-1)+x=6-x | | 4(x-9)=13x+36 | | 100[0.07(n+5)]= | | 4(x-1)=4x+9 | | 2x/9-x/2=10 | | 0.654=logx^2 | | 4(x-1)=4x+8 | | 9(n-6)=-126 | | 28x^2+12x-16=0 | | 70=3(-6n-5)-5 |

Equations solver categories