x(3x+17)=15-x^2

Simple and best practice solution for x(3x+17)=15-x^2 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(3x+17)=15-x^2 equation: 


Simplifying
x(3x + 17) = 15 + -1x2

Reorder the terms:
x(17 + 3x) = 15 + -1x2
(17 * x + 3x * x) = 15 + -1x2
(17x + 3x2) = 15 + -1x2

Solving
17x + 3x2 = 15 + -1x2

Solving for variable 'x'.

Reorder the terms:
-15 + 17x + 3x2 + x2 = 15 + -1x2 + -15 + x2

Combine like terms: 3x2 + x2 = 4x2
-15 + 17x + 4x2 = 15 + -1x2 + -15 + x2

Reorder the terms:
-15 + 17x + 4x2 = 15 + -15 + -1x2 + x2

Combine like terms: 15 + -15 = 0
-15 + 17x + 4x2 = 0 + -1x2 + x2
-15 + 17x + 4x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-15 + 17x + 4x2 = 0

Factor a trinomial.
(-5 + -1x)(3 + -4x) = 0


Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75
Solution
x = {-5, 0.75}

See similar equations:

| (y+80)+y=980 | | 3a/5-20=-23 | | 14=-16t^2+88t+50 | | 1/2(6n-4n3) | | -4s-3=-19 | | 4x-14=5x+6 | | 16=-3.75*-4+b | | x+3y=220000 | | 7x^2+15x-52=-16x+19 | | b=a*-4+16 | | 2.78x^2=4225 | | 2.6x^2=4225 | | 8x(2c+4)= | | (x+4)(7x-13)=-16x+19 | | 7x(-6d+5)= | | -10(s+3)=15 | | 1-10=8 | | z^2-(4-2i)z-8i=0 | | 441x^2-42x+1=0 | | (2x-4x^2)/(6x) | | 4x^2-20x+25-x^2+4x+4=0 | | 5x*6xy= | | 5(x-1)=5-2(x-3) | | 16=a*-4+b | | logx=22500 | | 16/4×x=2 | | 65*100/2 | | 5xy*5x= | | p-q=16 | | 16=4*(-4)+b | | (4x-6)*(4x+6)= | | 16=a*(-4)+b |

Equations solver categories