x*(x+10)=600

Simple and best practice solution for x*(x+10)=600 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*(x+10)=600 equation:


Simplifying
x(x + 10) = 600

Reorder the terms:
x(10 + x) = 600
(10 * x + x * x) = 600
(10x + x2) = 600

Solving
10x + x2 = 600

Solving for variable 'x'.

Reorder the terms:
-600 + 10x + x2 = 600 + -600

Combine like terms: 600 + -600 = 0
-600 + 10x + x2 = 0

Factor a trinomial.
(-30 + -1x)(20 + -1x) = 0

Subproblem 1

Set the factor '(-30 + -1x)' equal to zero and attempt to solve: Simplifying -30 + -1x = 0 Solving -30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -1x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -1x = 0 + 30 -1x = 0 + 30 Combine like terms: 0 + 30 = 30 -1x = 30 Divide each side by '-1'. x = -30 Simplifying x = -30

Subproblem 2

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

Solution

x = {-30, 20}

See similar equations:

| -7-4x+x^2=0 | | y-5=-.5x-3 | | 4x+3(20-3x)=40 | | 6x-3=2x+8 | | y-(-5)=1.5x-4.5 | | 10x-100-(25x+15)=25x-12x-2(3x-3) | | .6(80)-.16(60)=38 | | x^2-2x+6=30 | | 4x+(20-3x)=40 | | c^2+28+196=0 | | x^2-10x=1575 | | 4x^3-6x^2+2x= | | x^2-x=9 | | c^2-9c-18=0 | | 3+4x=15x^2 | | 3+4=15x^2 | | 5m+7n+8m-3n= | | y-2(-4)=7 | | y-2(-7)=7 | | 6(2+2)-2(2z+5)=18 | | y=4(3)-4 | | s=48+32t-16t^2 | | y=4(2)-4 | | y=4(-3)-4 | | (2-3i)+(6+8i)= | | .02x-.05(x-2)=5.32 | | 9t^2-30t=-21 | | 28=2(x-6)+2(x+6) | | y=-4(0) | | 3c^2-7c=0 | | 4x^3-2=x-8x^2 | | y=-4(-1) |

Equations solver categories