(3x+50)(6x-10)=

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Solution for (3x+50)(6x-10)= equation: 


Simplifying
(3x + 50)(6x + -10) = 0

Reorder the terms:
(50 + 3x)(6x + -10) = 0

Reorder the terms:
(50 + 3x)(-10 + 6x) = 0

Multiply (50 + 3x) * (-10 + 6x)
(50(-10 + 6x) + 3x * (-10 + 6x)) = 0
((-10 * 50 + 6x * 50) + 3x * (-10 + 6x)) = 0
((-500 + 300x) + 3x * (-10 + 6x)) = 0
(-500 + 300x + (-10 * 3x + 6x * 3x)) = 0
(-500 + 300x + (-30x + 18x2)) = 0

Combine like terms: 300x + -30x = 270x
(-500 + 270x + 18x2) = 0

Solving
-500 + 270x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-250 + 135x + 9x2) = 0

Factor a trinomial.
2((-50 + -3x)(5 + -3x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-50 + -3x)' equal to zero and attempt to solve:

Simplifying
-50 + -3x = 0

Solving
-50 + -3x = 0

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

Add '50' to each side of the equation.
-50 + 50 + -3x = 0 + 50

Combine like terms: -50 + 50 = 0
0 + -3x = 0 + 50
-3x = 0 + 50

Combine like terms: 0 + 50 = 50
-3x = 50

Divide each side by '-3'.
x = -16.66666667

Simplifying
x = -16.66666667

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 = {-16.66666667, 1.666666667}

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