3(x^2+2x+5)=x(25-3x)

Simple and best practice solution for 3(x^2+2x+5)=x(25-3x) 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 3(x^2+2x+5)=x(25-3x) equation:


Simplifying
3(x2 + 2x + 5) = x(25 + -3x)

Reorder the terms:
3(5 + 2x + x2) = x(25 + -3x)
(5 * 3 + 2x * 3 + x2 * 3) = x(25 + -3x)
(15 + 6x + 3x2) = x(25 + -3x)
15 + 6x + 3x2 = (25 * x + -3x * x)
15 + 6x + 3x2 = (25x + -3x2)

Solving
15 + 6x + 3x2 = 25x + -3x2

Solving for variable 'x'.

Reorder the terms:
15 + 6x + -25x + 3x2 + 3x2 = 25x + -3x2 + -25x + 3x2

Combine like terms: 6x + -25x = -19x
15 + -19x + 3x2 + 3x2 = 25x + -3x2 + -25x + 3x2

Combine like terms: 3x2 + 3x2 = 6x2
15 + -19x + 6x2 = 25x + -3x2 + -25x + 3x2

Reorder the terms:
15 + -19x + 6x2 = 25x + -25x + -3x2 + 3x2

Combine like terms: 25x + -25x = 0
15 + -19x + 6x2 = 0 + -3x2 + 3x2
15 + -19x + 6x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
15 + -19x + 6x2 = 0

Factor a trinomial.
(3 + -2x)(5 + -3x) = 0


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

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

Subproblem 2
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 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 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {1.5, 1.666666667}

See similar equations:

| x=0.5*(256-x) | | 11+4(x-4)=3(5-x)+5x | | 4y+16=-8 | | (x^-2y^-5)/(x^7y^-4) | | 100=15a+1b+.25c | | -y=90 | | y+24=14 | | x=0.5*(94-x) | | 2x+13x=5 | | 15a+.25b=a+b | | -15=4+3x | | 5y+10x=30fory | | m^2+10m+9= | | 80racineX+20=0 | | 4x-2y=-12fory | | 14x+2=17x-7 | | 81-27p= | | 5y+10-2=-(7+10y) | | m/5=-2/3 | | B-7=-7 | | 3.4q-3.8-2.7q=-0.3q-1.4 | | 21=4+3x | | 5(3x-9)=3(6+2x) | | 80-2x=16x+16 | | 3(5y+6)-4= | | 6x+11=29 | | 5x=12x+21 | | x=5+5y | | (3x-9)=(6+2x) | | 9-10x=60x-31x | | -2.2+0.3z=3-0.5z-0.8z | | 2+n/-5=4 |

Equations solver categories