15x-50=5x(3x-35)

Simple and best practice solution for 15x-50=5x(3x-35) 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 15x-50=5x(3x-35) equation: 


Simplifying
15x + -50 = 5x(3x + -35)

Reorder the terms:
-50 + 15x = 5x(3x + -35)

Reorder the terms:
-50 + 15x = 5x(-35 + 3x)
-50 + 15x = (-35 * 5x + 3x * 5x)
-50 + 15x = (-175x + 15x2)

Solving
-50 + 15x = -175x + 15x2

Solving for variable 'x'.

Combine like terms: 15x + 175x = 190x
-50 + 190x + -15x2 = -175x + 15x2 + 175x + -15x2

Reorder the terms:
-50 + 190x + -15x2 = -175x + 175x + 15x2 + -15x2

Combine like terms: -175x + 175x = 0
-50 + 190x + -15x2 = 0 + 15x2 + -15x2
-50 + 190x + -15x2 = 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
-50 + 190x + -15x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-10 + 38x + -3x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-10 + 38x + -3x2)' equal to zero and attempt to solve:

Simplifying
-10 + 38x + -3x2 = 0

Solving
-10 + 38x + -3x2 = 0

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

Divide each side by '-3'.
3.333333333 + -12.66666667x + x2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + -12.66666667x + -3.333333333 + x2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + -12.66666667x + x2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + -12.66666667x + x2 = 0 + -3.333333333
-12.66666667x + x2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
-12.66666667x + x2 = -3.333333333

The x term is -12.66666667x.  Take half its coefficient (-6.333333335).
Square it (40.11111113) and add it to both sides.

Add '40.11111113' to each side of the equation.
-12.66666667x + 40.11111113 + x2 = -3.333333333 + 40.11111113

Reorder the terms:
40.11111113 + -12.66666667x + x2 = -3.333333333 + 40.11111113

Combine like terms: -3.333333333 + 40.11111113 = 36.777777797
40.11111113 + -12.66666667x + x2 = 36.777777797

Factor a perfect square on the left side:
(x + -6.333333335)(x + -6.333333335) = 36.777777797

Calculate the square root of the right side: 6.064468468

Break this problem into two subproblems by setting 
(x + -6.333333335) equal to 6.064468468 and -6.064468468.


Subproblem 1
x + -6.333333335 = 6.064468468

Simplifying
x + -6.333333335 = 6.064468468

Reorder the terms:
-6.333333335 + x = 6.064468468

Solving
-6.333333335 + x = 6.064468468

Solving for variable 'x'.

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

Add '6.333333335' to each side of the equation.
-6.333333335 + 6.333333335 + x = 6.064468468 + 6.333333335

Combine like terms: -6.333333335 + 6.333333335 = 0.000000000
0.000000000 + x = 6.064468468 + 6.333333335
x = 6.064468468 + 6.333333335

Combine like terms: 6.064468468 + 6.333333335 = 12.397801803
x = 12.397801803

Simplifying
x = 12.397801803


Subproblem 2
x + -6.333333335 = -6.064468468

Simplifying
x + -6.333333335 = -6.064468468

Reorder the terms:
-6.333333335 + x = -6.064468468

Solving
-6.333333335 + x = -6.064468468

Solving for variable 'x'.

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

Add '6.333333335' to each side of the equation.
-6.333333335 + 6.333333335 + x = -6.064468468 + 6.333333335

Combine like terms: -6.333333335 + 6.333333335 = 0.000000000
0.000000000 + x = -6.064468468 + 6.333333335
x = -6.064468468 + 6.333333335

Combine like terms: -6.064468468 + 6.333333335 = 0.268864867
x = 0.268864867

Simplifying
x = 0.268864867


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {12.397801803, 0.268864867}
Solution
x = {12.397801803, 0.268864867}

See similar equations:

| 2[-6+4x]=-84 | | z^2+4z+4=0 | | 6n-8i= | | 9/2-2 | | 3x-2/12+x+3x+2/3 | | x^2+10x-22=0 | | 7x/3-2=3x-9 | | 1/2*-8 | | x+x/3=12 | | -15=-60 | | 39-x=-9 | | v+8=z | | 3/4*-2 | | c(x-y)-d(y-x)= | | 1/4*-8 | | 81-4d^2= | | 5x-7=-84-8x | | y=0.8x | | -11/21+13/14 | | 6x^2+78x+175=0 | | 6=b+8 | | -20=4/11x | | ?7x-1=13 | | (5w-7x)(w+7x-4)= | | -5/14+6/7 | | 6x-2(x-5)=4(x+1)+4 | | (2l+3)+3w=54 | | ?3x-12=-9 | | 0.7x+11.5=x-3.98 | | 3x^2-10x-11=0 | | 3(x+5)=5 | | 4(4x-1.1)=2x-4.4 |

Equations solver categories