(x-5)*(40-x)=124

Simple and best practice solution for (x-5)*(40-x)=124 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-5)*(40-x)=124 equation: 


Simplifying
(x + -5)(40 + -1x) = 124

Reorder the terms:
(-5 + x)(40 + -1x) = 124

Multiply (-5 + x) * (40 + -1x)
(-5(40 + -1x) + x(40 + -1x)) = 124
((40 * -5 + -1x * -5) + x(40 + -1x)) = 124
((-200 + 5x) + x(40 + -1x)) = 124
(-200 + 5x + (40 * x + -1x * x)) = 124
(-200 + 5x + (40x + -1x2)) = 124

Combine like terms: 5x + 40x = 45x
(-200 + 45x + -1x2) = 124

Solving
-200 + 45x + -1x2 = 124

Solving for variable 'x'.

Reorder the terms:
-200 + -124 + 45x + -1x2 = 124 + -124

Combine like terms: -200 + -124 = -324
-324 + 45x + -1x2 = 124 + -124

Combine like terms: 124 + -124 = 0
-324 + 45x + -1x2 = 0

Factor a trinomial.
(-36 + x)(9 + -1x) = 0


Subproblem 1
Set the factor '(-36 + x)' equal to zero and attempt to solve:

Simplifying
-36 + x = 0

Solving
-36 + x = 0

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

Add '36' to each side of the equation.
-36 + 36 + x = 0 + 36

Combine like terms: -36 + 36 = 0
0 + x = 0 + 36
x = 0 + 36

Combine like terms: 0 + 36 = 36
x = 36

Simplifying
x = 36

Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {36, 9}

See similar equations:

| 3x^2+5x=750 | | e^3y=4 | | 1-4(x+4)=7x-4 | | -35-8x=3x | | -8-35/x=-3 | | 5sinx-6cosx=6 | | x^3+3*x-7=0 | | sinx=93 | | 8n=3(n+25) | | 5(2x-1)=5(5x-14) | | 20x=42-x | | a+25=50 | | 7a=-1 | | 2u+5=13+6u | | 15u+15=-3(-5u-5) | | 3n(7s+2b)+5t= | | 7=8+3(2y-1) | | 0.1x+1.1=-16+-2x | | 90(7)/4= | | 0.1x+1.1=1 | | 7+x-15=-2.6666666667 | | 5x+7+3*x-7= | | 3(1.5-6.3)+0.5n=4(n+1.1) | | a+4-2*6a-10a= | | -(4-x)=0.75x+-3 | | 4x-2x*10x-3x= | | x+3x+4+x+2x-6= | | x/-12=34 | | 5v+3=1+4-6v | | 1/3(9)squared3 | | tan(52)=12/x | | 1+-2x+3x^2=0 |

Equations solver categories