-2x^2+25x-15=0

Simple and best practice solution for -2x^2+25x-15=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 -2x^2+25x-15=0 equation:


Simplifying
-2x2 + 25x + -15 = 0

Reorder the terms:
-15 + 25x + -2x2 = 0

Solving
-15 + 25x + -2x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
7.5 + -12.5x + x2 = 0

Move the constant term to the right:

Add '-7.5' to each side of the equation.
7.5 + -12.5x + -7.5 + x2 = 0 + -7.5

Reorder the terms:
7.5 + -7.5 + -12.5x + x2 = 0 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + -12.5x + x2 = 0 + -7.5
-12.5x + x2 = 0 + -7.5

Combine like terms: 0 + -7.5 = -7.5
-12.5x + x2 = -7.5

The x term is -12.5x.  Take half its coefficient (-6.25).
Square it (39.0625) and add it to both sides.

Add '39.0625' to each side of the equation.
-12.5x + 39.0625 + x2 = -7.5 + 39.0625

Reorder the terms:
39.0625 + -12.5x + x2 = -7.5 + 39.0625

Combine like terms: -7.5 + 39.0625 = 31.5625
39.0625 + -12.5x + x2 = 31.5625

Factor a perfect square on the left side:
(x + -6.25)(x + -6.25) = 31.5625

Calculate the square root of the right side: 5.618051264

Break this problem into two subproblems by setting 
(x + -6.25) equal to 5.618051264 and -5.618051264.

Subproblem 1

x + -6.25 = 5.618051264 Simplifying x + -6.25 = 5.618051264 Reorder the terms: -6.25 + x = 5.618051264 Solving -6.25 + x = 5.618051264 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.25' to each side of the equation. -6.25 + 6.25 + x = 5.618051264 + 6.25 Combine like terms: -6.25 + 6.25 = 0.00 0.00 + x = 5.618051264 + 6.25 x = 5.618051264 + 6.25 Combine like terms: 5.618051264 + 6.25 = 11.868051264 x = 11.868051264 Simplifying x = 11.868051264

Subproblem 2

x + -6.25 = -5.618051264 Simplifying x + -6.25 = -5.618051264 Reorder the terms: -6.25 + x = -5.618051264 Solving -6.25 + x = -5.618051264 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.25' to each side of the equation. -6.25 + 6.25 + x = -5.618051264 + 6.25 Combine like terms: -6.25 + 6.25 = 0.00 0.00 + x = -5.618051264 + 6.25 x = -5.618051264 + 6.25 Combine like terms: -5.618051264 + 6.25 = 0.631948736 x = 0.631948736 Simplifying x = 0.631948736

Solution

The solution to the problem is based on the solutions from the subproblems. x = {11.868051264, 0.631948736}

See similar equations:

| 3n+18=4n+15 | | v=w^2-2w | | 16x+12=8x+43 | | 3-y/2=y+5/3 | | -1=(p+6) | | 7x+25=81 | | w-4/5=81/4 | | X/3+2=x-2/3(x-3) | | u+5/8=7 | | -2y+2=-6 | | Y/8=6 | | 9-3/2x=15x-24 | | 4x+v=x+4 | | 4x-9=-3+11x | | 2t-13=-7 | | 105-4x=14x+21 | | D-5=2 | | 12x^3+100=0 | | (+10t)+(-15t)= | | 18x+15=9x+38 | | 0-(+23)= | | -12tf=3 | | 4(2x-3)-9x=13 | | +24-4= | | 4n+5=7 | | 13=3x+6 | | 24x+21=36x-6 | | 7.2x-6.7y-8.5=0 | | -6x=y | | 10x=7x+18 | | 1.9x-1.4+x-4.5= | | a=36 |

Equations solver categories