3x^2=18x-25

Simple and best practice solution for 3x^2=18x-25 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 3x^2=18x-25 equation: 


Simplifying
3x2 = 18x + -25

Reorder the terms:
3x2 = -25 + 18x

Solving
3x2 = -25 + 18x

Solving for variable 'x'.

Reorder the terms:
25 + -18x + 3x2 = -25 + 18x + 25 + -18x

Reorder the terms:
25 + -18x + 3x2 = -25 + 25 + 18x + -18x

Combine like terms: -25 + 25 = 0
25 + -18x + 3x2 = 0 + 18x + -18x
25 + -18x + 3x2 = 18x + -18x

Combine like terms: 18x + -18x = 0
25 + -18x + 3x2 = 0

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

Divide each side by '3'.
8.333333333 + -6x + x2 = 0

Move the constant term to the right:

Add '-8.333333333' to each side of the equation.
8.333333333 + -6x + -8.333333333 + x2 = 0 + -8.333333333

Reorder the terms:
8.333333333 + -8.333333333 + -6x + x2 = 0 + -8.333333333

Combine like terms: 8.333333333 + -8.333333333 = 0.000000000
0.000000000 + -6x + x2 = 0 + -8.333333333
-6x + x2 = 0 + -8.333333333

Combine like terms: 0 + -8.333333333 = -8.333333333
-6x + x2 = -8.333333333

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -8.333333333 + 9

Reorder the terms:
9 + -6x + x2 = -8.333333333 + 9

Combine like terms: -8.333333333 + 9 = 0.666666667
9 + -6x + x2 = 0.666666667

Factor a perfect square on the left side:
(x + -3)(x + -3) = 0.666666667

Calculate the square root of the right side: 0.816496581

Break this problem into two subproblems by setting 
(x + -3) equal to 0.816496581 and -0.816496581.


Subproblem 1
x + -3 = 0.816496581

Simplifying
x + -3 = 0.816496581

Reorder the terms:
-3 + x = 0.816496581

Solving
-3 + x = 0.816496581

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + x = 0.816496581 + 3

Combine like terms: -3 + 3 = 0
0 + x = 0.816496581 + 3
x = 0.816496581 + 3

Combine like terms: 0.816496581 + 3 = 3.816496581
x = 3.816496581

Simplifying
x = 3.816496581


Subproblem 2
x + -3 = -0.816496581

Simplifying
x + -3 = -0.816496581

Reorder the terms:
-3 + x = -0.816496581

Solving
-3 + x = -0.816496581

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + x = -0.816496581 + 3

Combine like terms: -3 + 3 = 0
0 + x = -0.816496581 + 3
x = -0.816496581 + 3

Combine like terms: -0.816496581 + 3 = 2.183503419
x = 2.183503419

Simplifying
x = 2.183503419


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.816496581, 2.183503419}

See similar equations:

| x*x+8=17 | | 2.8q-2.7-5.4q=-3.6q-2.1 | | 13x^2=18x-25 | | 4x+14=9x-6 | | 16x^2=24x-9 | | 14*3+14*4=x | | 7(7x-1)=38 | | (2x/3)-9=x-25 | | 28.6=x(52) | | -3-(x+4/5)=3/2 | | 5(0.5x+2)=2x+44 | | x-8.6=-5.3 | | (27-r^3)/((r-i)^2+3)/(3r^2-9r)/(3r^2-6r) | | n+2(n+1)+3(n+2)=110 | | p-4/9p=7/9 | | 4y=4x+40 | | y-2=2y-8 | | 6(2-x)-6=2(x-9) | | p^2+10pq+9p^2=0 | | -2x^2=-7x+12 | | 15x=6z | | 4[9+3t]-12=-16 | | 8(4+x)=56 | | (-11x-8)/6=-27 | | -7a=-35 | | 5(4t+1)-14=t-(t+8) | | p^2-15p-54=0 | | 0.4x-0.2(40+x)=0.3(50) | | 6x-9=x-75 | | 3x/2+4x | | p^2+-3p-54=0 | | 9x^2-16=8x^2-6x |

Equations solver categories