1500=x(40-2x)2

Simple and best practice solution for 1500=x(40-2x)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 1500=x(40-2x)2 equation: 


Simplifying
1500 = x(40 + -2x) * 2

Reorder the terms for easier multiplication:
1500 = 2x(40 + -2x)
1500 = (40 * 2x + -2x * 2x)
1500 = (80x + -4x2)

Solving
1500 = 80x + -4x2

Solving for variable 'x'.

Reorder the terms:
1500 + -80x + 4x2 = 80x + -80x + -4x2 + 4x2

Combine like terms: 80x + -80x = 0
1500 + -80x + 4x2 = 0 + -4x2 + 4x2
1500 + -80x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
1500 + -80x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(375 + -20x + x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(375 + -20x + x2)' equal to zero and attempt to solve:

Simplifying
375 + -20x + x2 = 0

Solving
375 + -20x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-375' to each side of the equation.
375 + -20x + -375 + x2 = 0 + -375

Reorder the terms:
375 + -375 + -20x + x2 = 0 + -375

Combine like terms: 375 + -375 = 0
0 + -20x + x2 = 0 + -375
-20x + x2 = 0 + -375

Combine like terms: 0 + -375 = -375
-20x + x2 = -375

The x term is -20x.  Take half its coefficient (-10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
-20x + 100 + x2 = -375 + 100

Reorder the terms:
100 + -20x + x2 = -375 + 100

Combine like terms: -375 + 100 = -275
100 + -20x + x2 = -275

Factor a perfect square on the left side:
(x + -10)(x + -10) = -275

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 4h-2-9h=-25 | | -8+4h+1-h=0 | | 13x=51 | | 62-N=15 | | 2x-5+x-4=180 | | 10x=53 | | Lax-3l=8 | | 2x+16-6x=30 | | 2x-(x-6)=2(x-3)-x | | -d+1+2d-4=0 | | 12x=59 | | Y*300=30000 | | 6z-(-3z)=6z+3z | | 12x=53 | | 6.9=7.7-0.4x | | 2x^3-9x^2-24x+6=75 | | 5+9c-10=0 | | 4.7y+3.8=13.2 | | 1/4(36x-12)=54+24 | | X-3l=8 | | 5n=425 | | 2(3x+4y)= | | -7n+6=-62 | | 4y-28-8y+34= | | 30.24=6g+3.78 | | x--5/7=-3 | | 0.2k+9.2=10 | | -5(r+6)=-73 | | -23-x+141=98 | | -5(5n-4)=70 | | -7(1-7x)=35+7x | | 61=v-(-80) |

Equations solver categories