-0.3x^2-0.7x+1.2=

Simple and best practice solution for -0.3x^2-0.7x+1.2= 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^2-0.7x+1.2= equation:


Simplifying
-0.3x2 + -0.7x + 1.2 = 0

Reorder the terms:
1.2 + -0.7x + -0.3x2 = 0

Solving
1.2 + -0.7x + -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'.
-4 + 2.333333333x + x2 = 0

Move the constant term to the right:

Add '4' to each side of the equation.
-4 + 2.333333333x + 4 + x2 = 0 + 4

Reorder the terms:
-4 + 4 + 2.333333333x + x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 2.333333333x + x2 = 0 + 4
2.333333333x + x2 = 0 + 4

Combine like terms: 0 + 4 = 4
2.333333333x + x2 = 4

The x term is 2.333333333x.  Take half its coefficient (1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
2.333333333x + 1.361111112 + x2 = 4 + 1.361111112

Reorder the terms:
1.361111112 + 2.333333333x + x2 = 4 + 1.361111112

Combine like terms: 4 + 1.361111112 = 5.361111112
1.361111112 + 2.333333333x + x2 = 5.361111112

Factor a perfect square on the left side:
(x + 1.166666667)(x + 1.166666667) = 5.361111112

Calculate the square root of the right side: 2.315407332

Break this problem into two subproblems by setting 
(x + 1.166666667) equal to 2.315407332 and -2.315407332.

Subproblem 1

x + 1.166666667 = 2.315407332 Simplifying x + 1.166666667 = 2.315407332 Reorder the terms: 1.166666667 + x = 2.315407332 Solving 1.166666667 + x = 2.315407332 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.166666667' to each side of the equation. 1.166666667 + -1.166666667 + x = 2.315407332 + -1.166666667 Combine like terms: 1.166666667 + -1.166666667 = 0.000000000 0.000000000 + x = 2.315407332 + -1.166666667 x = 2.315407332 + -1.166666667 Combine like terms: 2.315407332 + -1.166666667 = 1.148740665 x = 1.148740665 Simplifying x = 1.148740665

Subproblem 2

x + 1.166666667 = -2.315407332 Simplifying x + 1.166666667 = -2.315407332 Reorder the terms: 1.166666667 + x = -2.315407332 Solving 1.166666667 + x = -2.315407332 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.166666667' to each side of the equation. 1.166666667 + -1.166666667 + x = -2.315407332 + -1.166666667 Combine like terms: 1.166666667 + -1.166666667 = 0.000000000 0.000000000 + x = -2.315407332 + -1.166666667 x = -2.315407332 + -1.166666667 Combine like terms: -2.315407332 + -1.166666667 = -3.482073999 x = -3.482073999 Simplifying x = -3.482073999

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.148740665, -3.482073999}

See similar equations:

| -(-15)= | | y-(-6)=-14 | | x^5+x+2x^3+9+4x^2= | | (-15)(-8)= | | -3/4+3=8 | | 15+x/6 | | 2x-7/9=4+x/36 | | 8(-15)= | | -3/4x+2=0 | | -15+x/6 | | 5d+10=25+2d | | -18x+3=-25 | | -2b-7-3b=2 | | B=x+xwd | | 7x/12-5=x/4+19 | | 31/3= | | -6j+10=-11-7j | | 5w^3=0 | | b+11=24 | | -6j+10=-11-6j | | .2(3+2x)+1.3x=3.1 | | 5y+x=-30 | | 2n/5-5/11=19/55 | | f(x)=3x^2-9x | | 2x-7=11-2x | | 1/2x+3=-x+12 | | (2x+1)(9x+4)= | | x/6-4=-8 | | 4x+9=4x+13 | | 2x+7=4x+5 | | 5m+11=9m-5 | | 2/5x-3/5x=-7 |

Equations solver categories