2.4x^2-3x=9.2

Simple and best practice solution for 2.4x^2-3x=9.2 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 2.4x^2-3x=9.2 equation:


Simplifying
2.4x2 + -3x = 9.2

Reorder the terms:
-3x + 2.4x2 = 9.2

Solving
-3x + 2.4x2 = 9.2

Solving for variable 'x'.

Reorder the terms:
-9.2 + -3x + 2.4x2 = 9.2 + -9.2

Combine like terms: 9.2 + -9.2 = 0.0
-9.2 + -3x + 2.4x2 = 0.0

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

Divide each side by '2.4'.
-3.833333333 + -1.25x + x2 = 0

Move the constant term to the right:

Add '3.833333333' to each side of the equation.
-3.833333333 + -1.25x + 3.833333333 + x2 = 0 + 3.833333333

Reorder the terms:
-3.833333333 + 3.833333333 + -1.25x + x2 = 0 + 3.833333333

Combine like terms: -3.833333333 + 3.833333333 = 0.000000000
0.000000000 + -1.25x + x2 = 0 + 3.833333333
-1.25x + x2 = 0 + 3.833333333

Combine like terms: 0 + 3.833333333 = 3.833333333
-1.25x + x2 = 3.833333333

The x term is -1.25x.  Take half its coefficient (-0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
-1.25x + 0.390625 + x2 = 3.833333333 + 0.390625

Reorder the terms:
0.390625 + -1.25x + x2 = 3.833333333 + 0.390625

Combine like terms: 3.833333333 + 0.390625 = 4.223958333
0.390625 + -1.25x + x2 = 4.223958333

Factor a perfect square on the left side:
(x + -0.625)(x + -0.625) = 4.223958333

Calculate the square root of the right side: 2.055227076

Break this problem into two subproblems by setting 
(x + -0.625) equal to 2.055227076 and -2.055227076.

Subproblem 1

x + -0.625 = 2.055227076 Simplifying x + -0.625 = 2.055227076 Reorder the terms: -0.625 + x = 2.055227076 Solving -0.625 + x = 2.055227076 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.625' to each side of the equation. -0.625 + 0.625 + x = 2.055227076 + 0.625 Combine like terms: -0.625 + 0.625 = 0.000 0.000 + x = 2.055227076 + 0.625 x = 2.055227076 + 0.625 Combine like terms: 2.055227076 + 0.625 = 2.680227076 x = 2.680227076 Simplifying x = 2.680227076

Subproblem 2

x + -0.625 = -2.055227076 Simplifying x + -0.625 = -2.055227076 Reorder the terms: -0.625 + x = -2.055227076 Solving -0.625 + x = -2.055227076 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.625' to each side of the equation. -0.625 + 0.625 + x = -2.055227076 + 0.625 Combine like terms: -0.625 + 0.625 = 0.000 0.000 + x = -2.055227076 + 0.625 x = -2.055227076 + 0.625 Combine like terms: -2.055227076 + 0.625 = -1.430227076 x = -1.430227076 Simplifying x = -1.430227076

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.680227076, -1.430227076}

See similar equations:

| 6.08/3h-12=5.87/12.53 | | 3a+a=-9-5a | | 2x+10=x+6 | | 2x(x+2)+12=0 | | 6x^2-5-13x=0 | | x^2-4+xy= | | 6-b=14 | | 11/8=e+3/12 | | 7x=3x+44 | | 2x-1x+5=180 | | 2x-1x+5x=180 | | 3(k-3)-(2k-4)=-7 | | 8v^2-80v+200= | | -10-10x=20 | | 10x=7x+27 | | -8x+8+7x-4=-9x+8x+9 | | 7x-4=3(x+2)+x | | 25=-5v | | 13p^2+5=3034 | | -5a+5+6a=12-25 | | 4s+10=2s-16 | | y=404+0.8y | | (20-4x)(12-2x)=126 | | 17x^2+1=2602 | | x(x^2+7x+12)= | | s+16=46 | | 2(k-4)=8 | | (4x^2+6x)+(-2x^2+x)=y | | sin^2(3x)=0 | | y+3=5(x+1) | | 5x+6=6+5x | | 5x^2+22x-14=0 |

Equations solver categories