2(x+9)(x-4)=x(x+9)+60

Simple and best practice solution for 2(x+9)(x-4)=x(x+9)+60 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 2(x+9)(x-4)=x(x+9)+60 equation: 


Simplifying
2(x + 9)(x + -4) = x(x + 9) + 60

Reorder the terms:
2(9 + x)(x + -4) = x(x + 9) + 60

Reorder the terms:
2(9 + x)(-4 + x) = x(x + 9) + 60

Multiply (9 + x) * (-4 + x)
2(9(-4 + x) + x(-4 + x)) = x(x + 9) + 60
2((-4 * 9 + x * 9) + x(-4 + x)) = x(x + 9) + 60
2((-36 + 9x) + x(-4 + x)) = x(x + 9) + 60
2(-36 + 9x + (-4 * x + x * x)) = x(x + 9) + 60
2(-36 + 9x + (-4x + x2)) = x(x + 9) + 60

Combine like terms: 9x + -4x = 5x
2(-36 + 5x + x2) = x(x + 9) + 60
(-36 * 2 + 5x * 2 + x2 * 2) = x(x + 9) + 60
(-72 + 10x + 2x2) = x(x + 9) + 60

Reorder the terms:
-72 + 10x + 2x2 = x(9 + x) + 60
-72 + 10x + 2x2 = (9 * x + x * x) + 60
-72 + 10x + 2x2 = (9x + x2) + 60

Reorder the terms:
-72 + 10x + 2x2 = 60 + 9x + x2

Solving
-72 + 10x + 2x2 = 60 + 9x + x2

Solving for variable 'x'.

Reorder the terms:
-72 + -60 + 10x + -9x + 2x2 + -1x2 = 60 + 9x + x2 + -60 + -9x + -1x2

Combine like terms: -72 + -60 = -132
-132 + 10x + -9x + 2x2 + -1x2 = 60 + 9x + x2 + -60 + -9x + -1x2

Combine like terms: 10x + -9x = 1x
-132 + 1x + 2x2 + -1x2 = 60 + 9x + x2 + -60 + -9x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-132 + 1x + 1x2 = 60 + 9x + x2 + -60 + -9x + -1x2

Reorder the terms:
-132 + 1x + 1x2 = 60 + -60 + 9x + -9x + x2 + -1x2

Combine like terms: 60 + -60 = 0
-132 + 1x + 1x2 = 0 + 9x + -9x + x2 + -1x2
-132 + 1x + 1x2 = 9x + -9x + x2 + -1x2

Combine like terms: 9x + -9x = 0
-132 + 1x + 1x2 = 0 + x2 + -1x2
-132 + 1x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-132 + 1x + 1x2 = 0

Factor a trinomial.
(-12 + -1x)(11 + -1x) = 0


Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 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 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-12, 11}

See similar equations:

| 0=-16t^2-9t+46 | | C/7-2=-4 | | 4x^2+150x=200 | | 0=-16t^2-9+46 | | 1509+x=5140 | | 3n-3=45 | | x-1509=5140 | | 200=4x | | 7=6x+3x+7 | | 10x+(9)=21 | | 7/2x-2=28-4x | | 16m-23=6k-13 | | 3(5-t)-4t=36 | | 12(t-2)+3t=5(3t+5)-9 | | 9x+2+4x+5=12x+3 | | -12+4x+3+5x=2x^2-6x-2 | | c/6=-21 | | 725.00+10.50x=19.50 | | 3x(x-5)=7x(x)-16x | | -5p-7=-11-4p | | 725+10.50=1950x | | X*2-12x-18=0 | | 11x(x)-9x=0 | | 42=x/3+21 | | -5(x+3)+6=-9 | | 26.4/2.3=x | | 2x(x)-15x=8 | | j^4/j^10 | | 7(h+4)+5=75 | | 2x^3+5x^2-6x-4=0 | | 3n=0.48 | | 15x(x)+26x+8=0 |

Equations solver categories