Answer:
y=2x^2-8x+6
Step-by-step explanation:
C ,in the most parenthesis
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49w² -112w + 64
first, you have to find 2 numbers that add up to equal -112, but also multiply together to get a product of 3136 (49 * 64)
two numbers that add to -112 and multiply to equal 3136 is -56 and -56
we can add them into the equation by putting them in for -112x
49w²-56w-56w+64
we now look at what the first 2 numbers have in common and what the last two numbers have in common
49w² and -56w both have w and 7 in common so we can divide 7w
7w(7w -8)
-56w and 64 both have -8 in common so we can divide by -8
-8(7w-8)
now we take the 2 numbers on the outside and bring down the numbers in the brackets
(7w-8)(7w-8)
(7w-8)²
112= 7x + 7(-4x-17)
multiply the 7 by everything in parentheses
112=7x+(7*-4x)+(7*-17)
Positive multiplied by a negative is negative
112=7x-28x-119
combine like terms
112= -21x-119
add 119 to both sides
231= -21x
divide both sides by -21
-11= x
Check:
Substitute answer in equation
112= 7x + 7(-4x-17)
112= 7(-11)+7[(-4)(-11)-17]
112= -77 + 7(44-17)
112= -77 + 7(27)
112= -77 + 189
112=112
Hope this helps! :) Good luck with math!!
