2x^2+3x-0.28=0

Simple and best practice solution for 2x^2+3x-0.28=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+3x-0.28=0 equation: 


Simplifying
2x2 + 3x + -0.28 = 0

Reorder the terms:
-0.28 + 3x + 2x2 = 0

Solving
-0.28 + 3x + 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'.
-0.14 + 1.5x + x2 = 0

Move the constant term to the right:

Add '0.14' to each side of the equation.
-0.14 + 1.5x + 0.14 + x2 = 0 + 0.14

Reorder the terms:
-0.14 + 0.14 + 1.5x + x2 = 0 + 0.14

Combine like terms: -0.14 + 0.14 = 0.00
0.00 + 1.5x + x2 = 0 + 0.14
1.5x + x2 = 0 + 0.14

Combine like terms: 0 + 0.14 = 0.14
1.5x + x2 = 0.14

The x term is 1.5x.  Take half its coefficient (0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
1.5x + 0.5625 + x2 = 0.14 + 0.5625

Reorder the terms:
0.5625 + 1.5x + x2 = 0.14 + 0.5625

Combine like terms: 0.14 + 0.5625 = 0.7025
0.5625 + 1.5x + x2 = 0.7025

Factor a perfect square on the left side:
(x + 0.75)(x + 0.75) = 0.7025

Calculate the square root of the right side: 0.838152731

Break this problem into two subproblems by setting 
(x + 0.75) equal to 0.838152731 and -0.838152731.


Subproblem 1
x + 0.75 = 0.838152731

Simplifying
x + 0.75 = 0.838152731

Reorder the terms:
0.75 + x = 0.838152731

Solving
0.75 + x = 0.838152731

Solving for variable 'x'.

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

Add '-0.75' to each side of the equation.
0.75 + -0.75 + x = 0.838152731 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + x = 0.838152731 + -0.75
x = 0.838152731 + -0.75

Combine like terms: 0.838152731 + -0.75 = 0.088152731
x = 0.088152731

Simplifying
x = 0.088152731


Subproblem 2
x + 0.75 = -0.838152731

Simplifying
x + 0.75 = -0.838152731

Reorder the terms:
0.75 + x = -0.838152731

Solving
0.75 + x = -0.838152731

Solving for variable 'x'.

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

Add '-0.75' to each side of the equation.
0.75 + -0.75 + x = -0.838152731 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + x = -0.838152731 + -0.75
x = -0.838152731 + -0.75

Combine like terms: -0.838152731 + -0.75 = -1.588152731
x = -1.588152731

Simplifying
x = -1.588152731


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.088152731, -1.588152731}

See similar equations:

| (x+5)*5=234 | | 4m+6=5m | | x+6x-91=0 | | x^3+ax^2-(2a^2+12)x+(7a+10)=7 | | -97=7+8(4x+7) | | -4(2p+4)-2=2(3p+5) | | 8z+5z= | | 5x+6x-17=3(4x+2)+5 | | -3(-6w+9)-2w=6(w-4)-5 | | 10+1x-1.3x=0 | | -9c-4-8+7c=10 | | -4n=6+25 | | 1x=20-2x+1 | | 6c+7-2c=-16 | | 9.5(2)= | | -27+6y+6=2(4y-2)-7 | | 3-4y=2y-5 | | 101=-3b-5(7b-5) | | -12(-3)+7= | | 18=n+m | | ex=5(x+3)-3 | | 6c+8-2c=-16 | | -3c-1=-4-2c | | -1/3-1/9= | | x=0.37 | | 47.1-6.25= | | X-190+1008=1327 | | dy(xy)=(y^2+x^2)dx | | -3(6w+9)-2w=6(w-4)-5 | | 3(m+2)=58 | | x^2+15x-540=0 | | (x-2)(4x+2)=0 |

Equations solver categories