(10+3x)(200-20x)=2660

Simple and best practice solution for (10+3x)(200-20x)=2660 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 (10+3x)(200-20x)=2660 equation: 


Simplifying
(10 + 3x)(200 + -20x) = 2660

Multiply (10 + 3x) * (200 + -20x)
(10(200 + -20x) + 3x * (200 + -20x)) = 2660
((200 * 10 + -20x * 10) + 3x * (200 + -20x)) = 2660
((2000 + -200x) + 3x * (200 + -20x)) = 2660
(2000 + -200x + (200 * 3x + -20x * 3x)) = 2660
(2000 + -200x + (600x + -60x2)) = 2660

Combine like terms: -200x + 600x = 400x
(2000 + 400x + -60x2) = 2660

Solving
2000 + 400x + -60x2 = 2660

Solving for variable 'x'.

Reorder the terms:
2000 + -2660 + 400x + -60x2 = 2660 + -2660

Combine like terms: 2000 + -2660 = -660
-660 + 400x + -60x2 = 2660 + -2660

Combine like terms: 2660 + -2660 = 0
-660 + 400x + -60x2 = 0

Factor out the Greatest Common Factor (GCF), '20'.
20(-33 + 20x + -3x2) = 0

Factor a trinomial.
20((-11 + 3x)(3 + -1x)) = 0

Ignore the factor 20.

Subproblem 1
Set the factor '(-11 + 3x)' equal to zero and attempt to solve:

Simplifying
-11 + 3x = 0

Solving
-11 + 3x = 0

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

Add '11' to each side of the equation.
-11 + 11 + 3x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 3x = 0 + 11
3x = 0 + 11

Combine like terms: 0 + 11 = 11
3x = 11

Divide each side by '3'.
x = 3.666666667

Simplifying
x = 3.666666667

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {3.666666667, 3}

See similar equations:

| 12=3c | | 4+(-3)-2x(-6)= | | 100+0.4x=70+0.7x | | X^2+2y^2-14x-4y+49=0 | | 0=u+-15 | | 5(4K-7)-k=6-(5k+9) | | 8a-4a+5=21 | | 4(-3)=g | | y=lx^2-3x+1l | | (x+6)(x+6)=72 | | 10x+15+5x+5=40 | | 1.25+1.49=100 | | h=3+25t-5t^2 | | 2x-5=192 | | (1/10)(1/100) | | 130-95=34y-41y | | W(x)=x | | x-2=192 | | 12/11=y/12 | | 8=6x-22 | | 3+b=-15-4 | | 6x+40=64 | | 190/35 | | 5(2y+2)=6-2(y-2) | | 7k^2-60k-100= | | 53=5z^2 | | 2r+1+(-4r)+7=(2-4)r+1+7 | | (x-9)(x^2+11x+30)=0 | | 2x+5=192 | | 60/156 | | 5.3x-3=4*3x | | 105/175 |

Equations solver categories