x(5x+11)=2x^2-15x+9

Simple and best practice solution for x(5x+11)=2x^2-15x+9 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(5x+11)=2x^2-15x+9 equation: 


Simplifying
x(5x + 11) = 2x2 + -15x + 9

Reorder the terms:
x(11 + 5x) = 2x2 + -15x + 9
(11 * x + 5x * x) = 2x2 + -15x + 9
(11x + 5x2) = 2x2 + -15x + 9

Reorder the terms:
11x + 5x2 = 9 + -15x + 2x2

Solving
11x + 5x2 = 9 + -15x + 2x2

Solving for variable 'x'.

Reorder the terms:
-9 + 11x + 15x + 5x2 + -2x2 = 9 + -15x + 2x2 + -9 + 15x + -2x2

Combine like terms: 11x + 15x = 26x
-9 + 26x + 5x2 + -2x2 = 9 + -15x + 2x2 + -9 + 15x + -2x2

Combine like terms: 5x2 + -2x2 = 3x2
-9 + 26x + 3x2 = 9 + -15x + 2x2 + -9 + 15x + -2x2

Reorder the terms:
-9 + 26x + 3x2 = 9 + -9 + -15x + 15x + 2x2 + -2x2

Combine like terms: 9 + -9 = 0
-9 + 26x + 3x2 = 0 + -15x + 15x + 2x2 + -2x2
-9 + 26x + 3x2 = -15x + 15x + 2x2 + -2x2

Combine like terms: -15x + 15x = 0
-9 + 26x + 3x2 = 0 + 2x2 + -2x2
-9 + 26x + 3x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-9 + 26x + 3x2 = 0

Factor a trinomial.
(-9 + -1x)(1 + -3x) = 0


Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

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

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

Divide each side by '-1'.
x = -9

Simplifying
x = -9

Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {-9, 0.3333333333}

See similar equations:

| (3x+4)(x-5)-9x-12=0 | | 3x+4=-x+10 | | 5x+20y=180 | | 1.02+0.05= | | (1/5x-1/3)=0 | | 3x+x^2-5x-24=x-6 | | X+(x*3-1)=30 | | 5m-20+3m=24 | | 0.3x(2/11x-8/11)=0 | | 4x=16+8x | | 4x^2+10x+10x-25=0 | | 2x+10=20-8x | | 10-3+(-5)= | | 12y-12= | | 1+6x=11+11 | | 4t^2-3t-12=0 | | 2c-14c=0 | | -2x=-4x+8 | | (2/7x-2)(1/3x-1/30)=0 | | 51y=2(25y+79) | | 8x+4=32-2x | | 9x-2=37 | | 2x-10+8x=10 | | 5(2x-l)-2(3x)=1 | | 18=8t-17t | | (x+4)+5=(x+9) | | r=h-y | | 18=8t-18t | | 5p+27=3(4-p) | | (1/64)^3v=16 | | x^2+y^2=20y-99 | | 18=8t-7t |

Equations solver categories