Answer:
Step-by-step explanation:
(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
