x(6x-20)=(x+10)(x+10)

Simple and best practice solution for x(6x-20)=(x+10)(x+10) 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(6x-20)=(x+10)(x+10) equation: 


Simplifying
x(6x + -20) = (x + 10)(x + 10)

Reorder the terms:
x(-20 + 6x) = (x + 10)(x + 10)
(-20 * x + 6x * x) = (x + 10)(x + 10)
(-20x + 6x2) = (x + 10)(x + 10)

Reorder the terms:
-20x + 6x2 = (10 + x)(x + 10)

Reorder the terms:
-20x + 6x2 = (10 + x)(10 + x)

Multiply (10 + x) * (10 + x)
-20x + 6x2 = (10(10 + x) + x(10 + x))
-20x + 6x2 = ((10 * 10 + x * 10) + x(10 + x))
-20x + 6x2 = ((100 + 10x) + x(10 + x))
-20x + 6x2 = (100 + 10x + (10 * x + x * x))
-20x + 6x2 = (100 + 10x + (10x + x2))

Combine like terms: 10x + 10x = 20x
-20x + 6x2 = (100 + 20x + x2)

Solving
-20x + 6x2 = 100 + 20x + x2

Solving for variable 'x'.

Reorder the terms:
-100 + -20x + -20x + 6x2 + -1x2 = 100 + 20x + x2 + -100 + -20x + -1x2

Combine like terms: -20x + -20x = -40x
-100 + -40x + 6x2 + -1x2 = 100 + 20x + x2 + -100 + -20x + -1x2

Combine like terms: 6x2 + -1x2 = 5x2
-100 + -40x + 5x2 = 100 + 20x + x2 + -100 + -20x + -1x2

Reorder the terms:
-100 + -40x + 5x2 = 100 + -100 + 20x + -20x + x2 + -1x2

Combine like terms: 100 + -100 = 0
-100 + -40x + 5x2 = 0 + 20x + -20x + x2 + -1x2
-100 + -40x + 5x2 = 20x + -20x + x2 + -1x2

Combine like terms: 20x + -20x = 0
-100 + -40x + 5x2 = 0 + x2 + -1x2
-100 + -40x + 5x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-100 + -40x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-20 + -8x + x2) = 0

Factor a trinomial.
5((-2 + -1x)(10 + -1x)) = 0

Ignore the factor 5.

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-2, 10}

See similar equations:

| 3+4a=15 | | y^4-4y^2+4y-1=0 | | 5(x+6)+2(2x-9)=39 | | 16=3.14x^2-81(3.14) | | n^2+2n= | | 8.5-3z=-8 | | 14x+1=5x-7 | | 13x-15=0 | | x+6=36+4 | | [3x+6]-9=3 | | 5x-2y=-2 | | -4(6+n)+4=38 | | x(5x-12)=9 | | [3x+6]-9= | | -x^2+28-9=0 | | 4x-5y=-25 | | -2(x-4)=2x-4(-2-3x) | | 4(2x-3)=10x | | 3x=103 | | 3(x+4)+2(5x-1)= | | 9z=17-26 | | 3x+12+6+10x-2= | | 18+16=234 | | 16(x-3)=-34 | | 7(3d-5)= | | 4(2b+2)-2=-14+3b | | .75y+2=-10 | | 2n-6=4 | | 4-6w=3(1/2+w/2) | | 2x^4-3x^2+1=0 | | 5=-1(x^2) | | 6e-7=9e+5 |

Equations solver categories