15=40x-x^2

Simple and best practice solution for 15=40x-x^2 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 15=40x-x^2 equation:


Simplifying
15 = 40x + -1x2

Solving
15 = 40x + -1x2

Solving for variable 'x'.

Reorder the terms:
15 + -40x + x2 = 40x + -40x + -1x2 + x2

Combine like terms: 40x + -40x = 0
15 + -40x + x2 = 0 + -1x2 + x2
15 + -40x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
15 + -40x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + -40x + -15 + x2 = 0 + -15

Reorder the terms:
15 + -15 + -40x + x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -40x + x2 = 0 + -15
-40x + x2 = 0 + -15

Combine like terms: 0 + -15 = -15
-40x + x2 = -15

The x term is -40x.  Take half its coefficient (-20).
Square it (400) and add it to both sides.

Add '400' to each side of the equation.
-40x + 400 + x2 = -15 + 400

Reorder the terms:
400 + -40x + x2 = -15 + 400

Combine like terms: -15 + 400 = 385
400 + -40x + x2 = 385

Factor a perfect square on the left side:
(x + -20)(x + -20) = 385

Calculate the square root of the right side: 19.62141687

Break this problem into two subproblems by setting 
(x + -20) equal to 19.62141687 and -19.62141687.

Subproblem 1

x + -20 = 19.62141687 Simplifying x + -20 = 19.62141687 Reorder the terms: -20 + x = 19.62141687 Solving -20 + x = 19.62141687 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + x = 19.62141687 + 20 Combine like terms: -20 + 20 = 0 0 + x = 19.62141687 + 20 x = 19.62141687 + 20 Combine like terms: 19.62141687 + 20 = 39.62141687 x = 39.62141687 Simplifying x = 39.62141687

Subproblem 2

x + -20 = -19.62141687 Simplifying x + -20 = -19.62141687 Reorder the terms: -20 + x = -19.62141687 Solving -20 + x = -19.62141687 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + x = -19.62141687 + 20 Combine like terms: -20 + 20 = 0 0 + x = -19.62141687 + 20 x = -19.62141687 + 20 Combine like terms: -19.62141687 + 20 = 0.37858313 x = 0.37858313 Simplifying x = 0.37858313

Solution

The solution to the problem is based on the solutions from the subproblems. x = {39.62141687, 0.37858313}

See similar equations:

| Y=300+.75(Y-300)+500-50*4+300+400-400e | | 3x-23=34 | | 5(3a-2)=22x-55+8x | | 10+15w-30=40 | | 36x^2-5x+9=0 | | 5(3a-2)=22x-55-8x | | 0.2y+1.4-0.5y+1.4=8 | | y=17x-10 | | 4(-5y-1)=-3(-y-6) | | 5x-4x=25 | | x^2+10x+18=0 | | 9a+1=3a+25 | | (X^2)+5x=24 | | 16x^2-xy+y^2=16 | | 2(3x-5)=x-8-5x | | .25(w+4)+.5w=10 | | 2x-18-2x= | | x^2-6x-5=0 | | 20x^2-9x-11=0 | | 5x+7y=12 | | 5x^2=3x+10 | | x^2+4=17-4 | | 5x+2x=21 | | 5-2(5x-4)=8-x | | Y=500+.75(Y-400)+1000-100*5+400+400-400e | | 7-7x=(4x+9)(x-1) | | 3v=-15 | | 3.8x=14+x | | y=-2x^2+135x | | 3.8x=15.75+x | | 3.50x=10+x | | 2(4x-4)=9x |

Equations solver categories