3x(x-5)3=-30

Simple and best practice solution for 3x(x-5)3=-30 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 3x(x-5)3=-30 equation: 


Simplifying
3x(x + -5) * 3 = -30

Reorder the terms:
3x(-5 + x) * 3 = -30

Reorder the terms for easier multiplication:
3 * 3x(-5 + x) = -30

Multiply 3 * 3
9x(-5 + x) = -30
(-5 * 9x + x * 9x) = -30
(-45x + 9x2) = -30

Solving
-45x + 9x2 = -30

Solving for variable 'x'.

Reorder the terms:
30 + -45x + 9x2 = -30 + 30

Combine like terms: -30 + 30 = 0
30 + -45x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(10 + -15x + 3x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(10 + -15x + 3x2)' equal to zero and attempt to solve:

Simplifying
10 + -15x + 3x2 = 0

Solving
10 + -15x + 3x2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
3.333333333 + -5x + x2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + -5x + -3.333333333 + x2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + -5x + x2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + -5x + x2 = 0 + -3.333333333
-5x + x2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
-5x + x2 = -3.333333333

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -3.333333333 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -3.333333333 + 6.25

Combine like terms: -3.333333333 + 6.25 = 2.916666667
6.25 + -5x + x2 = 2.916666667

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = 2.916666667

Calculate the square root of the right side: 1.707825128

Break this problem into two subproblems by setting 
(x + -2.5) equal to 1.707825128 and -1.707825128.


Subproblem 1
x + -2.5 = 1.707825128

Simplifying
x + -2.5 = 1.707825128

Reorder the terms:
-2.5 + x = 1.707825128

Solving
-2.5 + x = 1.707825128

Solving for variable 'x'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + x = 1.707825128 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = 1.707825128 + 2.5
x = 1.707825128 + 2.5

Combine like terms: 1.707825128 + 2.5 = 4.207825128
x = 4.207825128

Simplifying
x = 4.207825128


Subproblem 2
x + -2.5 = -1.707825128

Simplifying
x + -2.5 = -1.707825128

Reorder the terms:
-2.5 + x = -1.707825128

Solving
-2.5 + x = -1.707825128

Solving for variable 'x'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + x = -1.707825128 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = -1.707825128 + 2.5
x = -1.707825128 + 2.5

Combine like terms: -1.707825128 + 2.5 = 0.792174872
x = 0.792174872

Simplifying
x = 0.792174872


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.207825128, 0.792174872}
Solution
x = {4.207825128, 0.792174872}

See similar equations:

| 12n-23.2=-14+28.8 | | 3+3n-2=8n+28-2n | | 3(x+5)-6=18 | | 50=-.5x+40 | | (x^2-81)=0 | | 5(x-3)+4x-1=2x+3(x-2) | | -4(-3x+v)-(5v-x)= | | 46=j-9+6-10-5 | | 3x+4=7x | | 6x+9=4x+9 | | 5(u-4)-8u=1 | | x(2x-1)(3x+2)=0 | | 4x+5=-21 | | 6(x+5)=8x+16 | | 6x-8y=8 | | 0.4(0.53x-4)=0.67x+0.6 | | 67y=11(6y+37) | | 1-3=4+4w-3w | | 2356-25217+3521*522= | | 2356-25217+3521*527= | | -2p+5+3p=12 | | 4k^2-25=0 | | 8(3x-4)=2(12x+1) | | 6t+8t=70 | | (3x-1)(2-x)=0 | | 3x-24x= | | 8(3x-1)=4(6x+9) | | -27=4y-3 | | 6x-5y=17 | | -2p+5+39=12 | | (2-x)=0 | | 5=y+7 |

Equations solver categories