(10x+90)8x=360

Simple and best practice solution for (10x+90)8x=360 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 (10x+90)8x=360 equation: 


Simplifying
(10x + 90) * 8x = 360

Reorder the terms:
(90 + 10x) * 8x = 360

Reorder the terms for easier multiplication:
8x(90 + 10x) = 360
(90 * 8x + 10x * 8x) = 360
(720x + 80x2) = 360

Solving
720x + 80x2 = 360

Solving for variable 'x'.

Reorder the terms:
-360 + 720x + 80x2 = 360 + -360

Combine like terms: 360 + -360 = 0
-360 + 720x + 80x2 = 0

Factor out the Greatest Common Factor (GCF), '40'.
40(-9 + 18x + 2x2) = 0

Ignore the factor 40.

Subproblem 1
Set the factor '(-9 + 18x + 2x2)' equal to zero and attempt to solve:

Simplifying
-9 + 18x + 2x2 = 0

Solving
-9 + 18x + 2x2 = 0

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

Divide each side by '2'.
-4.5 + 9x + x2 = 0

Move the constant term to the right:

Add '4.5' to each side of the equation.
-4.5 + 9x + 4.5 + x2 = 0 + 4.5

Reorder the terms:
-4.5 + 4.5 + 9x + x2 = 0 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + 9x + x2 = 0 + 4.5
9x + x2 = 0 + 4.5

Combine like terms: 0 + 4.5 = 4.5
9x + x2 = 4.5

The x term is 9x.  Take half its coefficient (4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
9x + 20.25 + x2 = 4.5 + 20.25

Reorder the terms:
20.25 + 9x + x2 = 4.5 + 20.25

Combine like terms: 4.5 + 20.25 = 24.75
20.25 + 9x + x2 = 24.75

Factor a perfect square on the left side:
(x + 4.5)(x + 4.5) = 24.75

Calculate the square root of the right side: 4.974937186

Break this problem into two subproblems by setting 
(x + 4.5) equal to 4.974937186 and -4.974937186.


Subproblem 1
x + 4.5 = 4.974937186

Simplifying
x + 4.5 = 4.974937186

Reorder the terms:
4.5 + x = 4.974937186

Solving
4.5 + x = 4.974937186

Solving for variable 'x'.

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

Add '-4.5' to each side of the equation.
4.5 + -4.5 + x = 4.974937186 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + x = 4.974937186 + -4.5
x = 4.974937186 + -4.5

Combine like terms: 4.974937186 + -4.5 = 0.474937186
x = 0.474937186

Simplifying
x = 0.474937186


Subproblem 2
x + 4.5 = -4.974937186

Simplifying
x + 4.5 = -4.974937186

Reorder the terms:
4.5 + x = -4.974937186

Solving
4.5 + x = -4.974937186

Solving for variable 'x'.

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

Add '-4.5' to each side of the equation.
4.5 + -4.5 + x = -4.974937186 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + x = -4.974937186 + -4.5
x = -4.974937186 + -4.5

Combine like terms: -4.974937186 + -4.5 = -9.474937186
x = -9.474937186

Simplifying
x = -9.474937186


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.474937186, -9.474937186}
Solution
x = {0.474937186, -9.474937186}

See similar equations:

| X^2-70x+1050=0 | | 1.8-0.2lnx=0 | | Y^2-19X+66=0 | | F(x)=-3x^2+18x-2 | | 8(4k-9)=-5k-32 | | 1-(y+2)=-10 | | 3r-25=g(r) | | 2A-6(a-4x)=-4 | | 9x+80=7x | | 6x-7-10x=13 | | 2b+7a=1 | | s*6+42=192 | | 5/3-9/4 | | 5x/4-3.2=1.8 | | 2y-10-20=0 | | -10(s+4)=-104 | | 9xsquared-4= | | 12x-15y=0 | | -99=-3(-5x+3) | | -7B=-1 | | 6a+3(a+2)=30 | | 3(-4x-3)=51 | | f(x)=-9x^2+18x-3 | | 3(-3x-2)=30 | | 26=b+v | | 7(x+4)=5(x-6) | | -(-4x+3)=-57 | | https://static.k12.com/bank_packages/files/media/mathml_57bf1858e66062d9f1eec562014859d5f7102e4e_1.gif | | 5x^5-3x^2+3x-2=0 | | (7-X)^2/X=0.0474 | | x^4-36x^2-64x^2+2304=0 | | x^2-14x=-29 |

Equations solver categories