-0.9x^2+4x+0.75=0

Simple and best practice solution for -0.9x^2+4x+0.75=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 -0.9x^2+4x+0.75=0 equation: 


Simplifying
-0.9x2 + 4x + 0.75 = 0

Reorder the terms:
0.75 + 4x + -0.9x2 = 0

Solving
0.75 + 4x + -0.9x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-0.9 the coefficient of the squared term: 

Divide each side by '-0.9'.
-0.8333333333 + -4.444444444x + x2 = 0

Move the constant term to the right:

Add '0.8333333333' to each side of the equation.
-0.8333333333 + -4.444444444x + 0.8333333333 + x2 = 0 + 0.8333333333

Reorder the terms:
-0.8333333333 + 0.8333333333 + -4.444444444x + x2 = 0 + 0.8333333333

Combine like terms: -0.8333333333 + 0.8333333333 = 0.0000000000
0.0000000000 + -4.444444444x + x2 = 0 + 0.8333333333
-4.444444444x + x2 = 0 + 0.8333333333

Combine like terms: 0 + 0.8333333333 = 0.8333333333
-4.444444444x + x2 = 0.8333333333

The x term is -4.444444444x.  Take half its coefficient (-2.222222222).
Square it (4.938271604) and add it to both sides.

Add '4.938271604' to each side of the equation.
-4.444444444x + 4.938271604 + x2 = 0.8333333333 + 4.938271604

Reorder the terms:
4.938271604 + -4.444444444x + x2 = 0.8333333333 + 4.938271604

Combine like terms: 0.8333333333 + 4.938271604 = 5.7716049373
4.938271604 + -4.444444444x + x2 = 5.7716049373

Factor a perfect square on the left side:
(x + -2.222222222)(x + -2.222222222) = 5.7716049373

Calculate the square root of the right side: 2.402416479

Break this problem into two subproblems by setting 
(x + -2.222222222) equal to 2.402416479 and -2.402416479.


Subproblem 1
x + -2.222222222 = 2.402416479

Simplifying
x + -2.222222222 = 2.402416479

Reorder the terms:
-2.222222222 + x = 2.402416479

Solving
-2.222222222 + x = 2.402416479

Solving for variable 'x'.

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

Add '2.222222222' to each side of the equation.
-2.222222222 + 2.222222222 + x = 2.402416479 + 2.222222222

Combine like terms: -2.222222222 + 2.222222222 = 0.000000000
0.000000000 + x = 2.402416479 + 2.222222222
x = 2.402416479 + 2.222222222

Combine like terms: 2.402416479 + 2.222222222 = 4.624638701
x = 4.624638701

Simplifying
x = 4.624638701


Subproblem 2
x + -2.222222222 = -2.402416479

Simplifying
x + -2.222222222 = -2.402416479

Reorder the terms:
-2.222222222 + x = -2.402416479

Solving
-2.222222222 + x = -2.402416479

Solving for variable 'x'.

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

Add '2.222222222' to each side of the equation.
-2.222222222 + 2.222222222 + x = -2.402416479 + 2.222222222

Combine like terms: -2.222222222 + 2.222222222 = 0.000000000
0.000000000 + x = -2.402416479 + 2.222222222
x = -2.402416479 + 2.222222222

Combine like terms: -2.402416479 + 2.222222222 = -0.180194257
x = -0.180194257

Simplifying
x = -0.180194257


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.624638701, -0.180194257}

See similar equations:

| 8x+13=32 | | -126=14l | | h-421=-193 | | 5x+200=1000 | | 8x-11=3x+14 | | m--5=15 | | 5(1)+10y=20 | | -18+c=0 | | ln(9x)=ln(x^2+8) | | 5+4x=180 | | -198+c=0 | | 5+7x=120 | | x^2+22x-48=0 | | 5x+10(0)=20 | | -8w=104 | | .5p=13 | | -x^2+15x+34=0 | | 5x+39=14x+42 | | 5(0)+10y=20 | | 24x-7=8 | | 10x-7=73 | | 2x-4-x=4 | | -2+1-Z=1 | | 0.5(x+80)+0.9x=89 | | (3b-4)=8b | | -2(3x-4)-6(0.25x-0.5x)=0.25(-8+2x) | | 8t=8t+10 | | 6x+32=-6*x-8 | | 5x+3c=17 | | x^2=(x+4)(x+4)+8x | | 5(1)+2y+10=0 | | 6x+32=-6*6x-8 |

Equations solver categories