5+(x-150)3x=4730

Simple and best practice solution for 5+(x-150)3x=4730 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 5+(x-150)3x=4730 equation: 


Simplifying
5 + (x + -150) * 3x = 4730

Reorder the terms:
5 + (-150 + x) * 3x = 4730

Reorder the terms for easier multiplication:
5 + 3x(-150 + x) = 4730
5 + (-150 * 3x + x * 3x) = 4730
5 + (-450x + 3x2) = 4730

Solving
5 + -450x + 3x2 = 4730

Solving for variable 'x'.

Reorder the terms:
5 + -4730 + -450x + 3x2 = 4730 + -4730

Combine like terms: 5 + -4730 = -4725
-4725 + -450x + 3x2 = 4730 + -4730

Combine like terms: 4730 + -4730 = 0
-4725 + -450x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-1575 + -150x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-1575 + -150x + x2)' equal to zero and attempt to solve:

Simplifying
-1575 + -150x + x2 = 0

Solving
-1575 + -150x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '1575' to each side of the equation.
-1575 + -150x + 1575 + x2 = 0 + 1575

Reorder the terms:
-1575 + 1575 + -150x + x2 = 0 + 1575

Combine like terms: -1575 + 1575 = 0
0 + -150x + x2 = 0 + 1575
-150x + x2 = 0 + 1575

Combine like terms: 0 + 1575 = 1575
-150x + x2 = 1575

The x term is -150x.  Take half its coefficient (-75).
Square it (5625) and add it to both sides.

Add '5625' to each side of the equation.
-150x + 5625 + x2 = 1575 + 5625

Reorder the terms:
5625 + -150x + x2 = 1575 + 5625

Combine like terms: 1575 + 5625 = 7200
5625 + -150x + x2 = 7200

Factor a perfect square on the left side:
(x + -75)(x + -75) = 7200

Calculate the square root of the right side: 84.852813742

Break this problem into two subproblems by setting 
(x + -75) equal to 84.852813742 and -84.852813742.


Subproblem 1
x + -75 = 84.852813742

Simplifying
x + -75 = 84.852813742

Reorder the terms:
-75 + x = 84.852813742

Solving
-75 + x = 84.852813742

Solving for variable 'x'.

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

Add '75' to each side of the equation.
-75 + 75 + x = 84.852813742 + 75

Combine like terms: -75 + 75 = 0
0 + x = 84.852813742 + 75
x = 84.852813742 + 75

Combine like terms: 84.852813742 + 75 = 159.852813742
x = 159.852813742

Simplifying
x = 159.852813742


Subproblem 2
x + -75 = -84.852813742

Simplifying
x + -75 = -84.852813742

Reorder the terms:
-75 + x = -84.852813742

Solving
-75 + x = -84.852813742

Solving for variable 'x'.

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

Add '75' to each side of the equation.
-75 + 75 + x = -84.852813742 + 75

Combine like terms: -75 + 75 = 0
0 + x = -84.852813742 + 75
x = -84.852813742 + 75

Combine like terms: -84.852813742 + 75 = -9.852813742
x = -9.852813742

Simplifying
x = -9.852813742


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {159.852813742, -9.852813742}
Solution
x = {159.852813742, -9.852813742}

See similar equations:

| X+(2x)+(6x+3)=39 | | x=0.75x+1 | | x^2+2*b*x+3*c=0 | | (t+7)(t+4)=4 | | 2cosh(x)=3 | | x/16=81 | | 4cos^2x-11sinx-1=0 | | 2cos^2*6x-1=0 | | 5x+(7-7x)=x-22 | | pi*(0.6/2)*(0.5/2)*x=38 | | (x+y+1)dx+(4x+4y+10)dx=0 | | 13x^2-56x+60=0 | | 8+2=161016 | | 3(m+6)=(6m-1) | | 9x^2+13x-42=0 | | y-7=3(x-3) | | 4f+4=4f+15 | | (3x+2)(7-x)=0 | | 0.6*1*x=38 | | 5y+3(18+7y)=106 | | 8-4-(40+1)= | | x*3x=64 | | 3x*x=64 | | 3a+2b+3a+6b= | | .13-.01(x+1)=.03(4-x) | | 5y+3x(7y+18)=106 | | 5(x+2)+2=3x+2(4+x) | | 6x-19=17-3x | | 7000/3.2*10^4 | | 3x+25=4x-25 | | 7000/3.2x10^-2 | | t^3-18t^2=0 |

Equations solver categories