0=8x^2-15x+6

Simple and best practice solution for 0=8x^2-15x+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=8x^2-15x+6 equation:


Simplifying
0 = 8x2 + -15x + 6

Reorder the terms:
0 = 6 + -15x + 8x2

Solving
0 = 6 + -15x + 8x2

Solving for variable 'x'.

Combine like terms: 0 + -6 = -6
-6 + 15x + -8x2 = 6 + -15x + 8x2 + -6 + 15x + -8x2

Reorder the terms:
-6 + 15x + -8x2 = 6 + -6 + -15x + 15x + 8x2 + -8x2

Combine like terms: 6 + -6 = 0
-6 + 15x + -8x2 = 0 + -15x + 15x + 8x2 + -8x2
-6 + 15x + -8x2 = -15x + 15x + 8x2 + -8x2

Combine like terms: -15x + 15x = 0
-6 + 15x + -8x2 = 0 + 8x2 + -8x2
-6 + 15x + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-6 + 15x + -8x2 = 0

Begin completing the square.  Divide all terms by
-8 the coefficient of the squared term: 

Divide each side by '-8'.
0.75 + -1.875x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -1.875x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -1.875x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -1.875x + x2 = 0 + -0.75
-1.875x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-1.875x + x2 = -0.75

The x term is -1.875x.  Take half its coefficient (-0.9375).
Square it (0.87890625) and add it to both sides.

Add '0.87890625' to each side of the equation.
-1.875x + 0.87890625 + x2 = -0.75 + 0.87890625

Reorder the terms:
0.87890625 + -1.875x + x2 = -0.75 + 0.87890625

Combine like terms: -0.75 + 0.87890625 = 0.12890625
0.87890625 + -1.875x + x2 = 0.12890625

Factor a perfect square on the left side:
(x + -0.9375)(x + -0.9375) = 0.12890625

Calculate the square root of the right side: 0.359035165

Break this problem into two subproblems by setting 
(x + -0.9375) equal to 0.359035165 and -0.359035165.

Subproblem 1

x + -0.9375 = 0.359035165 Simplifying x + -0.9375 = 0.359035165 Reorder the terms: -0.9375 + x = 0.359035165 Solving -0.9375 + x = 0.359035165 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9375' to each side of the equation. -0.9375 + 0.9375 + x = 0.359035165 + 0.9375 Combine like terms: -0.9375 + 0.9375 = 0.0000 0.0000 + x = 0.359035165 + 0.9375 x = 0.359035165 + 0.9375 Combine like terms: 0.359035165 + 0.9375 = 1.296535165 x = 1.296535165 Simplifying x = 1.296535165

Subproblem 2

x + -0.9375 = -0.359035165 Simplifying x + -0.9375 = -0.359035165 Reorder the terms: -0.9375 + x = -0.359035165 Solving -0.9375 + x = -0.359035165 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9375' to each side of the equation. -0.9375 + 0.9375 + x = -0.359035165 + 0.9375 Combine like terms: -0.9375 + 0.9375 = 0.0000 0.0000 + x = -0.359035165 + 0.9375 x = -0.359035165 + 0.9375 Combine like terms: -0.359035165 + 0.9375 = 0.578464835 x = 0.578464835 Simplifying x = 0.578464835

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.296535165, 0.578464835}

See similar equations:

| (4x^2+4x+1)+(4x+20)= | | -10(3-4x)+51=7(5x+3) | | x*2+2=38 | | 2.5=5cosine(2t) | | 2.5=5cos(2t) | | 4x^2+3x+9=8 | | -3.75+2(4x+6.1)-3.35x= | | Y=log(x+4)+5 | | 9-5y=2-6y | | 5.5-8.5(1+6a)=-29.5 | | -17=-8x | | 40x^2-120x+90=0 | | 8s-5.5+8.5=27.5 | | 29x-13y=7 | | 810x^2-1980x+1210=0 | | 7x+9x-4x=78+6 | | -30.5-4c=8.5(2.5c-8) | | -4(-3+5)=30+2x | | 250x^2-700x+490=0 | | 17.5=8.5(4.5z+3.5) | | 5x+1.625=7 | | -810x^2+1980t-1210=0 | | 80y=13 | | 80y=14 | | -5(3h-6.5)=28.5-5.5h | | 7z-5=z+19 | | 20x^2y^2+23xy+6=0 | | -9(5.5+2d)=22.5 | | (b+2)*(b+2)=0 | | 4r+2.5r=28.5 | | 1x+44=180 | | X-4+5=3(2x+1) |

Equations solver categories