(80-x)*2x=108

Simple and best practice solution for (80-x)*2x=108 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 (80-x)*2x=108 equation:


Simplifying
(80 + -1x) * 2x = 108

Reorder the terms for easier multiplication:
2x(80 + -1x) = 108
(80 * 2x + -1x * 2x) = 108
(160x + -2x2) = 108

Solving
160x + -2x2 = 108

Solving for variable 'x'.

Reorder the terms:
-108 + 160x + -2x2 = 108 + -108

Combine like terms: 108 + -108 = 0
-108 + 160x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-54 + 80x + -1x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-54 + 80x + -1x2)' equal to zero and attempt to solve: Simplifying -54 + 80x + -1x2 = 0 Solving -54 + 80x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 54 + -80x + x2 = 0 Move the constant term to the right: Add '-54' to each side of the equation. 54 + -80x + -54 + x2 = 0 + -54 Reorder the terms: 54 + -54 + -80x + x2 = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -80x + x2 = 0 + -54 -80x + x2 = 0 + -54 Combine like terms: 0 + -54 = -54 -80x + x2 = -54 The x term is -80x. Take half its coefficient (-40). Square it (1600) and add it to both sides. Add '1600' to each side of the equation. -80x + 1600 + x2 = -54 + 1600 Reorder the terms: 1600 + -80x + x2 = -54 + 1600 Combine like terms: -54 + 1600 = 1546 1600 + -80x + x2 = 1546 Factor a perfect square on the left side: (x + -40)(x + -40) = 1546 Calculate the square root of the right side: 39.319206503 Break this problem into two subproblems by setting (x + -40) equal to 39.319206503 and -39.319206503.

Subproblem 1

x + -40 = 39.319206503 Simplifying x + -40 = 39.319206503 Reorder the terms: -40 + x = 39.319206503 Solving -40 + x = 39.319206503 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + x = 39.319206503 + 40 Combine like terms: -40 + 40 = 0 0 + x = 39.319206503 + 40 x = 39.319206503 + 40 Combine like terms: 39.319206503 + 40 = 79.319206503 x = 79.319206503 Simplifying x = 79.319206503

Subproblem 2

x + -40 = -39.319206503 Simplifying x + -40 = -39.319206503 Reorder the terms: -40 + x = -39.319206503 Solving -40 + x = -39.319206503 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + x = -39.319206503 + 40 Combine like terms: -40 + 40 = 0 0 + x = -39.319206503 + 40 x = -39.319206503 + 40 Combine like terms: -39.319206503 + 40 = 0.680793497 x = 0.680793497 Simplifying x = 0.680793497

Solution

The solution to the problem is based on the solutions from the subproblems. x = {79.319206503, 0.680793497}

Solution

x = {79.319206503, 0.680793497}

See similar equations:

| 63w+21=-15 | | A=x(5x+3)+x(2x-7) | | 8=8-8h | | A=-5x(9x^2+4) | | 2x-y-3z=0 | | q-6=15 | | 18/n=3 | | 3y-2x+5y+12x= | | (2x)xy= | | 3t+1=-19-2t | | -4(2x+9)=-76 | | 9r+1=8r-5 | | 2o+4=5o+16 | | 28+6p=2p-4 | | 20(80-x)/2=1100-20x | | (18*3)+4=60 | | q/4=1/2 | | q/4=2 | | 10x+(80-x)20=550 | | 4a+2b+1=6 | | w+4w+7-w= | | =lny+ln(y-3) | | 100x-38+17=260-10x+49 | | 15y-150+40y+30=45y-50 | | -7y+2=3y-1 | | 18-16x=-30x-10 | | 10(14+7)-3(28+8)= | | 3n^2-n-574=0 | | 4cosx^2(2x)-3=0 | | 3(y-5)-21=0 | | 1a-22=18-1a | | A-22=18-a |

Equations solver categories