0=-0.8x^2+2.4x+6

Simple and best practice solution for 0=-0.8x^2+2.4x+6 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=-0.8x^2+2.4x+6 equation:


Simplifying
0 = -0.8x2 + 2.4x + 6

Reorder the terms:
0 = 6 + 2.4x + -0.8x2

Solving
0 = 6 + 2.4x + -0.8x2

Solving for variable 'x'.

Combine like terms: 0 + -6 = -6
-6 + -2.4x + 0.8x2 = 6 + 2.4x + -0.8x2 + -6 + -2.4x + 0.8x2

Reorder the terms:
-6 + -2.4x + 0.8x2 = 6 + -6 + 2.4x + -2.4x + -0.8x2 + 0.8x2

Combine like terms: 6 + -6 = 0
-6 + -2.4x + 0.8x2 = 0 + 2.4x + -2.4x + -0.8x2 + 0.8x2
-6 + -2.4x + 0.8x2 = 2.4x + -2.4x + -0.8x2 + 0.8x2

Combine like terms: 2.4x + -2.4x = 0.0
-6 + -2.4x + 0.8x2 = 0.0 + -0.8x2 + 0.8x2
-6 + -2.4x + 0.8x2 = -0.8x2 + 0.8x2

Combine like terms: -0.8x2 + 0.8x2 = 0.0
-6 + -2.4x + 0.8x2 = 0.0

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

Divide each side by '0.8'.
-7.5 + -3x + x2 = 0

Move the constant term to the right:

Add '7.5' to each side of the equation.
-7.5 + -3x + 7.5 + x2 = 0 + 7.5

Reorder the terms:
-7.5 + 7.5 + -3x + x2 = 0 + 7.5

Combine like terms: -7.5 + 7.5 = 0.0
0.0 + -3x + x2 = 0 + 7.5
-3x + x2 = 0 + 7.5

Combine like terms: 0 + 7.5 = 7.5
-3x + x2 = 7.5

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = 7.5 + 2.25

Reorder the terms:
2.25 + -3x + x2 = 7.5 + 2.25

Combine like terms: 7.5 + 2.25 = 9.75
2.25 + -3x + x2 = 9.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = 9.75

Calculate the square root of the right side: 3.122498999

Break this problem into two subproblems by setting 
(x + -1.5) equal to 3.122498999 and -3.122498999.

Subproblem 1

x + -1.5 = 3.122498999 Simplifying x + -1.5 = 3.122498999 Reorder the terms: -1.5 + x = 3.122498999 Solving -1.5 + x = 3.122498999 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = 3.122498999 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = 3.122498999 + 1.5 x = 3.122498999 + 1.5 Combine like terms: 3.122498999 + 1.5 = 4.622498999 x = 4.622498999 Simplifying x = 4.622498999

Subproblem 2

x + -1.5 = -3.122498999 Simplifying x + -1.5 = -3.122498999 Reorder the terms: -1.5 + x = -3.122498999 Solving -1.5 + x = -3.122498999 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = -3.122498999 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = -3.122498999 + 1.5 x = -3.122498999 + 1.5 Combine like terms: -3.122498999 + 1.5 = -1.622498999 x = -1.622498999 Simplifying x = -1.622498999

Solution

The solution to the problem is based on the solutions from the subproblems. x = {4.622498999, -1.622498999}

See similar equations:

| 4+6x=6x | | 5+7d+3d= | | 5+x-3= | | x+8x+12=15 | | 4x^2+24x+15=0 | | -13x+38=-6-25 | | -2x+3=-x+6 | | (8x+7)(9x-5)=0 | | J+17-23=-7 | | ps+12z=y | | y+4=1.5(x-2) | | 6x+11=13+7x | | 6x-3(3x+5)=-1 | | 4x+32=x+9 | | 3.5*h+(-26)=145 | | 12(5+3t-4)=8(-2t+11) | | x+30+x+x=180 | | 4x+7(x+6)=174 | | log(3*2x)=8 | | u^2-5u+9=3 | | 6y=3x-12 | | X+3=3y-5 | | x-10-8=6 | | Y=x^4-2x^3+x^2 | | C=30+0.10(-300) | | 3[7m-(6m+6)+7]=6m+5 | | 1+3*n=7 | | 16.41+778.29+1411.35+2767.9= | | x-3-7=10 | | d+(d+6)=-1 | | Z+y+16=34 | | y^2+6y=11 |

Equations solver categories