(x-10)*(2x-10)=100

Simple and best practice solution for (x-10)*(2x-10)=100 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-10)*(2x-10)=100 equation: 


Simplifying
(x + -10)(2x + -10) = 100

Reorder the terms:
(-10 + x)(2x + -10) = 100

Reorder the terms:
(-10 + x)(-10 + 2x) = 100

Multiply (-10 + x) * (-10 + 2x)
(-10(-10 + 2x) + x(-10 + 2x)) = 100
((-10 * -10 + 2x * -10) + x(-10 + 2x)) = 100
((100 + -20x) + x(-10 + 2x)) = 100
(100 + -20x + (-10 * x + 2x * x)) = 100
(100 + -20x + (-10x + 2x2)) = 100

Combine like terms: -20x + -10x = -30x
(100 + -30x + 2x2) = 100

Add '-100' to each side of the equation.
100 + -30x + -100 + 2x2 = 100 + -100

Reorder the terms:
100 + -100 + -30x + 2x2 = 100 + -100

Combine like terms: 100 + -100 = 0
0 + -30x + 2x2 = 100 + -100
-30x + 2x2 = 100 + -100

Combine like terms: 100 + -100 = 0
-30x + 2x2 = 0

Solving
-30x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-15 + x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-15 + x)' equal to zero and attempt to solve:

Simplifying
-15 + x = 0

Solving
-15 + x = 0

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

Add '15' to each side of the equation.
-15 + 15 + x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + x = 0 + 15
x = 0 + 15

Combine like terms: 0 + 15 = 15
x = 15

Simplifying
x = 15
Solution
x = {0, 15}

See similar equations:

| x^2+2=x^2-8 | | Tanx+5sinx=0 | | Tanx+5sinc=0 | | x^4+5x+1=0 | | log(x+3)-log(x-1)=2 | | 2.89+5.04+1.93+1.99=15 | | (x+8y)(6x-5y)= | | 16x^2-42x+27=0 | | n(n-1)(n-2)=720 | | (y-4)(y+4)=9 | | -5(w+4)= | | 20x+5y=4.21 | | 4+8(x-5)=5+9(x-3) | | 904x+531= | | 6x+9+9x+6+12x+9+8x-6+15x-18= | | 2(m+1)=18 | | 8-3[8-(6y-3)]= | | b=2c+3d | | 5-5i= | | 96-0.5*x^2=2x | | 5x(x+1)=x+3 | | 3x(2x+4)=3x-7 | | 5(w+1)=3(w+3) | | sqrt(4-3x)=x-5 | | 8(p+4)=p-3 | | 75c=-675 | | 10b=-1000 | | 24a=96 | | 12y=0 | | 17g-3=12g-13 | | 8v+1=3v+6 | | 32x=-832 |

Equations solver categories