25x^2-90x=81

Simple and best practice solution for 25x^2-90x=81 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 25x^2-90x=81 equation:


Simplifying
25x2 + -90x = 81

Reorder the terms:
-90x + 25x2 = 81

Solving
-90x + 25x2 = 81

Solving for variable 'x'.

Reorder the terms:
-81 + -90x + 25x2 = 81 + -81

Combine like terms: 81 + -81 = 0
-81 + -90x + 25x2 = 0

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

Divide each side by '25'.
-3.24 + -3.6x + x2 = 0

Move the constant term to the right:

Add '3.24' to each side of the equation.
-3.24 + -3.6x + 3.24 + x2 = 0 + 3.24

Reorder the terms:
-3.24 + 3.24 + -3.6x + x2 = 0 + 3.24

Combine like terms: -3.24 + 3.24 = 0.00
0.00 + -3.6x + x2 = 0 + 3.24
-3.6x + x2 = 0 + 3.24

Combine like terms: 0 + 3.24 = 3.24
-3.6x + x2 = 3.24

The x term is -3.6x.  Take half its coefficient (-1.8).
Square it (3.24) and add it to both sides.

Add '3.24' to each side of the equation.
-3.6x + 3.24 + x2 = 3.24 + 3.24

Reorder the terms:
3.24 + -3.6x + x2 = 3.24 + 3.24

Combine like terms: 3.24 + 3.24 = 6.48
3.24 + -3.6x + x2 = 6.48

Factor a perfect square on the left side:
(x + -1.8)(x + -1.8) = 6.48

Calculate the square root of the right side: 2.545584412

Break this problem into two subproblems by setting 
(x + -1.8) equal to 2.545584412 and -2.545584412.

Subproblem 1

x + -1.8 = 2.545584412 Simplifying x + -1.8 = 2.545584412 Reorder the terms: -1.8 + x = 2.545584412 Solving -1.8 + x = 2.545584412 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.8' to each side of the equation. -1.8 + 1.8 + x = 2.545584412 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + x = 2.545584412 + 1.8 x = 2.545584412 + 1.8 Combine like terms: 2.545584412 + 1.8 = 4.345584412 x = 4.345584412 Simplifying x = 4.345584412

Subproblem 2

x + -1.8 = -2.545584412 Simplifying x + -1.8 = -2.545584412 Reorder the terms: -1.8 + x = -2.545584412 Solving -1.8 + x = -2.545584412 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.8' to each side of the equation. -1.8 + 1.8 + x = -2.545584412 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + x = -2.545584412 + 1.8 x = -2.545584412 + 1.8 Combine like terms: -2.545584412 + 1.8 = -0.745584412 x = -0.745584412 Simplifying x = -0.745584412

Solution

The solution to the problem is based on the solutions from the subproblems. x = {4.345584412, -0.745584412}

See similar equations:

| M=4n-13 | | 1/6(12t+49)-20=-1/8(24t-144) | | 6=8x | | 10a^3+17a^2+3a= | | 3.5j+14=22.4+1.4j | | 3x-18=6x+3 | | -2-2(1-2b)=-(8-6b) | | 2.14x+4+12x+12=2 | | 8x^2+32x+14=0 | | -2x=11x | | 2-2(1+2a)=-5(2a-6) | | -2(k-8)-8k=4k-(7k-2) | | 0=16p^4-p^2 | | 0+11=15 | | -2x-3=18 | | 12+x=12 | | 8x^2-10x+3= | | 5+7z=7z+5 | | 3r+3=18 | | 7+s=15 | | (3*3*3-3*9)+(7-2*2)b=24b | | -2(n+4)+3(n+5)=7+n-8 | | 21k^2+144k+108=0 | | x+7+33=4x+13 | | 60d+420=d | | 25-7p=5p+27 | | 4+w=11 | | 13-4h=3h-8 | | 2(3/4-10)=30 | | 5r+3-r=3+4r | | 13-4h=3G-8 | | (x-9)/5=15 |

Equations solver categories