The members of the math club are buying t-shirts. The shirts will cost $5.00 each plus a one-time fee of $20.00 for the design o
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Hi there!
First we need to work out the parenthesis, which can for instance be done using rainbow technique.
Now subtract 3 from both sides.
And finally add 3x to both sides.
The 4th answer choice is correct.
First we need to work out the parenthesis, which can for instance be done using rainbow technique.
Now subtract 3 from both sides.
And finally add 3x to both sides.
The 4th answer choice is correct.
Answer:
x = 15 or x = -
Step-by-step explanation:
Cross- multiplying gives
(14x + 6)(17x + 5) = 9x(27x + 11) ( expanding factors )
238x² + 172x + 30 = 243x² + 99x
rearrange into standard form : ax² + bx + c = 0
5x² - 73x - 30 = 0 ← in standard form
consider the factors of the product 5 × - 30 = - 150 which sum to the coefficient of the x-term (- 73 )
the factors are - 75 and + 2
Use these factors to split the middle term
5x² - 75x + 2x - 30 = 0 ( factor by grouping )
5x(x - 15) + 2(x - 15) = 0 ← take out the factor (x - 15)
(x - 15)(5x + 2) = 0
equate each factor to zero and solve for x
x - 15 = 0 ⇒ x = 15
5x + 2 = 0 ⇒ x = -