x^2-3x=5x+30

Simple and best practice solution for x^2-3x=5x+30 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 x^2-3x=5x+30 equation:


Simplifying
x2 + -3x = 5x + 30

Reorder the terms:
-3x + x2 = 5x + 30

Reorder the terms:
-3x + x2 = 30 + 5x

Solving
-3x + x2 = 30 + 5x

Solving for variable 'x'.

Reorder the terms:
-30 + -3x + -5x + x2 = 30 + 5x + -30 + -5x

Combine like terms: -3x + -5x = -8x
-30 + -8x + x2 = 30 + 5x + -30 + -5x

Reorder the terms:
-30 + -8x + x2 = 30 + -30 + 5x + -5x

Combine like terms: 30 + -30 = 0
-30 + -8x + x2 = 0 + 5x + -5x
-30 + -8x + x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-30 + -8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '30' to each side of the equation.
-30 + -8x + 30 + x2 = 0 + 30

Reorder the terms:
-30 + 30 + -8x + x2 = 0 + 30

Combine like terms: -30 + 30 = 0
0 + -8x + x2 = 0 + 30
-8x + x2 = 0 + 30

Combine like terms: 0 + 30 = 30
-8x + x2 = 30

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = 30 + 16

Reorder the terms:
16 + -8x + x2 = 30 + 16

Combine like terms: 30 + 16 = 46
16 + -8x + x2 = 46

Factor a perfect square on the left side:
(x + -4)(x + -4) = 46

Calculate the square root of the right side: 6.782329983

Break this problem into two subproblems by setting 
(x + -4) equal to 6.782329983 and -6.782329983.

Subproblem 1

x + -4 = 6.782329983 Simplifying x + -4 = 6.782329983 Reorder the terms: -4 + x = 6.782329983 Solving -4 + x = 6.782329983 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 6.782329983 + 4 Combine like terms: -4 + 4 = 0 0 + x = 6.782329983 + 4 x = 6.782329983 + 4 Combine like terms: 6.782329983 + 4 = 10.782329983 x = 10.782329983 Simplifying x = 10.782329983

Subproblem 2

x + -4 = -6.782329983 Simplifying x + -4 = -6.782329983 Reorder the terms: -4 + x = -6.782329983 Solving -4 + x = -6.782329983 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = -6.782329983 + 4 Combine like terms: -4 + 4 = 0 0 + x = -6.782329983 + 4 x = -6.782329983 + 4 Combine like terms: -6.782329983 + 4 = -2.782329983 x = -2.782329983 Simplifying x = -2.782329983

Solution

The solution to the problem is based on the solutions from the subproblems. x = {10.782329983, -2.782329983}

See similar equations:

| (3x^2-2y^4)+(7x^4+10z^9)= | | 2a/n-z/2 | | 72=3(5m+4) | | 15+5a=-70 | | R=2a/n-z | | x^3-3x^2-6x-18=0 | | 4a+15=a-70 | | 20t-3(4t-13)=5y | | 52=4(n+6) | | -15+a=-10 | | 4a+2=10+2(a) | | 3x-8=8x+12 | | 7x+14=3x+6 | | 2/5x-2/5(x-3)=3 | | 7x/8-4=1-15x/16 | | 5x-6=3-9x | | 6u^3v^3-15ux^4/3u^4 | | 6+20+4x-8=48+x | | 3x-9/4=x-4 | | 69=7b+13 | | 6x+4=7(x+3) | | x-3=4x+7 | | 7x+10=58+1 | | 234a=429 | | 23=35-r | | 9x+9-4=7(2x+5) | | 22-4m=14 | | 1/7(5t-6)=6t/14 | | H=-30t^2+4320 | | 12x+15x=200 | | 16m^2-n^2-16m+4=0 | | 3x+17+3=8(x+5) |

Equations solver categories