5x(3x-1)=50

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Solution for 5x(3x-1)=50 equation: 


Simplifying
5x(3x + -1) = 50

Reorder the terms:
5x(-1 + 3x) = 50
(-1 * 5x + 3x * 5x) = 50
(-5x + 15x2) = 50

Solving
-5x + 15x2 = 50

Solving for variable 'x'.

Reorder the terms:
-50 + -5x + 15x2 = 50 + -50

Combine like terms: 50 + -50 = 0
-50 + -5x + 15x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-10 + -1x + 3x2) = 0

Factor a trinomial.
5((-5 + -3x)(2 + -1x)) = 0

Ignore the factor 5.

Subproblem 1
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

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-1.666666667, 2}

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