x+x-(250)+3x(x-250)=3500

Simple and best practice solution for x+x-(250)+3x(x-250)=3500 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+x-(250)+3x(x-250)=3500 equation:


Simplifying
x + x + -1(250) + 3x(x + -250) = 3500

Multiply -1 * 250
x + x + -250 + 3x(x + -250) = 3500

Reorder the terms:
x + x + -250 + 3x(-250 + x) = 3500
x + x + -250 + (-250 * 3x + x * 3x) = 3500
x + x + -250 + (-750x + 3x2) = 3500

Reorder the terms:
-250 + x + x + -750x + 3x2 = 3500

Combine like terms: x + x = 2x
-250 + 2x + -750x + 3x2 = 3500

Combine like terms: 2x + -750x = -748x
-250 + -748x + 3x2 = 3500

Solving
-250 + -748x + 3x2 = 3500

Solving for variable 'x'.

Reorder the terms:
-250 + -3500 + -748x + 3x2 = 3500 + -3500

Combine like terms: -250 + -3500 = -3750
-3750 + -748x + 3x2 = 3500 + -3500

Combine like terms: 3500 + -3500 = 0
-3750 + -748x + 3x2 = 0

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

Divide each side by '3'.
-1250 + -249.3333333x + x2 = 0

Move the constant term to the right:

Add '1250' to each side of the equation.
-1250 + -249.3333333x + 1250 + x2 = 0 + 1250

Reorder the terms:
-1250 + 1250 + -249.3333333x + x2 = 0 + 1250

Combine like terms: -1250 + 1250 = 0
0 + -249.3333333x + x2 = 0 + 1250
-249.3333333x + x2 = 0 + 1250

Combine like terms: 0 + 1250 = 1250
-249.3333333x + x2 = 1250

The x term is -249.3333333x.  Take half its coefficient (-124.6666667).
Square it (15541.77779) and add it to both sides.

Add '15541.77779' to each side of the equation.
-249.3333333x + 15541.77779 + x2 = 1250 + 15541.77779

Reorder the terms:
15541.77779 + -249.3333333x + x2 = 1250 + 15541.77779

Combine like terms: 1250 + 15541.77779 = 16791.77779
15541.77779 + -249.3333333x + x2 = 16791.77779

Factor a perfect square on the left side:
(x + -124.6666667)(x + -124.6666667) = 16791.77779

Calculate the square root of the right side: 129.583092223

Break this problem into two subproblems by setting 
(x + -124.6666667) equal to 129.583092223 and -129.583092223.

Subproblem 1

x + -124.6666667 = 129.583092223 Simplifying x + -124.6666667 = 129.583092223 Reorder the terms: -124.6666667 + x = 129.583092223 Solving -124.6666667 + x = 129.583092223 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '124.6666667' to each side of the equation. -124.6666667 + 124.6666667 + x = 129.583092223 + 124.6666667 Combine like terms: -124.6666667 + 124.6666667 = 0.0000000 0.0000000 + x = 129.583092223 + 124.6666667 x = 129.583092223 + 124.6666667 Combine like terms: 129.583092223 + 124.6666667 = 254.249758923 x = 254.249758923 Simplifying x = 254.249758923

Subproblem 2

x + -124.6666667 = -129.583092223 Simplifying x + -124.6666667 = -129.583092223 Reorder the terms: -124.6666667 + x = -129.583092223 Solving -124.6666667 + x = -129.583092223 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '124.6666667' to each side of the equation. -124.6666667 + 124.6666667 + x = -129.583092223 + 124.6666667 Combine like terms: -124.6666667 + 124.6666667 = 0.0000000 0.0000000 + x = -129.583092223 + 124.6666667 x = -129.583092223 + 124.6666667 Combine like terms: -129.583092223 + 124.6666667 = -4.916425523 x = -4.916425523 Simplifying x = -4.916425523

Solution

The solution to the problem is based on the solutions from the subproblems. x = {254.249758923, -4.916425523}

See similar equations:

| 7t/-k-9=8/k-13t | | x+(x-250)3x(x-250)=3500 | | 10b+1=9b+8 | | x+2y=49.86 | | (2x-5)+37.5=180 | | 6y=8-42 | | 6-2x=-48 | | -12x-24=0 | | -5(x-6)=25 | | (2x-5)+(x+40)+(3x-10)=180 | | 4(x+5)=60 | | x-4/2=-8 | | -4+n/4=-5 | | 6x+2x+4=0 | | 3x+2y+5z= | | 5x+10=-55 | | -10-3a=26 | | v-6/6=-4 | | 4x-0.08=4 | | -30=9-10+11a | | 52w=365 | | r/2+8=4 | | 8+8n=8 | | (5x+1)(4x+3)=80x | | 25x=-6x-1 | | -3x-9=51 | | 5+n/2=7 | | Y=30x^2+37x+10 | | 5x*5x=-6x-1 | | b/12+5=6 | | 5+n/7=7 | | 10+b/3=-8 |

Equations solver categories