0=550x-(10000+30x+x^2)

Simple and best practice solution for 0=550x-(10000+30x+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 0=550x-(10000+30x+x^2) equation:


Simplifying
0 = 550x + -1(10000 + 30x + x2)
0 = 550x + (10000 * -1 + 30x * -1 + x2 * -1)
0 = 550x + (-10000 + -30x + -1x2)

Reorder the terms:
0 = -10000 + 550x + -30x + -1x2

Combine like terms: 550x + -30x = 520x
0 = -10000 + 520x + -1x2

Solving
0 = -10000 + 520x + -1x2

Solving for variable 'x'.

Combine like terms: 0 + 10000 = 10000
10000 + -520x + x2 = -10000 + 520x + -1x2 + 10000 + -520x + x2

Reorder the terms:
10000 + -520x + x2 = -10000 + 10000 + 520x + -520x + -1x2 + x2

Combine like terms: -10000 + 10000 = 0
10000 + -520x + x2 = 0 + 520x + -520x + -1x2 + x2
10000 + -520x + x2 = 520x + -520x + -1x2 + x2

Combine like terms: 520x + -520x = 0
10000 + -520x + x2 = 0 + -1x2 + x2
10000 + -520x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
10000 + -520x + x2 = 0

Factor a trinomial.
(20 + -1x)(500 + -1x) = 0

Subproblem 1

Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20

Subproblem 2

Set the factor '(500 + -1x)' equal to zero and attempt to solve: Simplifying 500 + -1x = 0 Solving 500 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-500' to each side of the equation. 500 + -500 + -1x = 0 + -500 Combine like terms: 500 + -500 = 0 0 + -1x = 0 + -500 -1x = 0 + -500 Combine like terms: 0 + -500 = -500 -1x = -500 Divide each side by '-1'. x = 500 Simplifying x = 500

Solution

x = {20, 500}

See similar equations:

| 45=x+0.06x | | ln(7x)+ln(5x)=ln(36) | | 8/5t=65-t | | y=5(0+3) | | 0.014x^2-1.19x+23.24=0 | | 110=0.03x | | 8x+6x+25=-25 | | 7(r-3)-6(r-1)=2(r+4) | | 10000=520x-x^2 | | 9x^2-36xy+32y^2=0 | | 13y-7y=36 | | 2/3(4^3x)=3 | | 8x/5=65 | | 3x+2y+3+y= | | 8x/6=65 | | x^2(x-7)+15(x-7)= | | 2x+4y=4x+8y^3 | | 7/(3-x)=0 | | 0.5(2+4)=1/3(y+1) | | (6v^2)+v-35=0 | | 6=-3w | | 2(x-8)-7=-37 | | 4y+3x=70 | | 5x-9=4x-1 | | 1.1k=1.21 | | 135x-16=5 | | 3(5y+5)=(2y-5) | | y^3-2y^2-8=0 | | 4x-3=x-11 | | -16x+23y=253 | | 0.3(m+2)=0.25+0.3m | | -5y(y-9)(y-7)=0 |

Equations solver categories