5x(6x+4)=850

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Solution for 5x(6x+4)=850 equation: 


Simplifying
5x(6x + 4) = 850

Reorder the terms:
5x(4 + 6x) = 850
(4 * 5x + 6x * 5x) = 850
(20x + 30x2) = 850

Solving
20x + 30x2 = 850

Solving for variable 'x'.

Reorder the terms:
-850 + 20x + 30x2 = 850 + -850

Combine like terms: 850 + -850 = 0
-850 + 20x + 30x2 = 0

Factor out the Greatest Common Factor (GCF), '10'.
10(-85 + 2x + 3x2) = 0

Factor a trinomial.
10((-17 + -3x)(5 + -1x)) = 0

Ignore the factor 10.

Subproblem 1
Set the factor '(-17 + -3x)' equal to zero and attempt to solve:

Simplifying
-17 + -3x = 0

Solving
-17 + -3x = 0

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

Add '17' to each side of the equation.
-17 + 17 + -3x = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -3x = 0 + 17
-3x = 0 + 17

Combine like terms: 0 + 17 = 17
-3x = 17

Divide each side by '-3'.
x = -5.666666667

Simplifying
x = -5.666666667

Subproblem 2
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
Solution
x = {-5.666666667, 5}

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