How do you solve for x in this problem? 4x^2−3=−x?

Milton Anderson 2022-09-12 Answered
How do you solve for x in this problem? 4 x 2 - 3 = - x ?
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Answers (1)

Adrienne Harper
Answered 2022-09-13 Author has 14 answers
rearrange into standard form x a x 2 + b x + c = 0
add x to both sides
4 x 2 + x - 3 = 0 in standard form
factor the quadratic using the a-c method
the factors of the product 4 × - 3 = - 12
which sum to + 1 are + 4 and - 3
split the middle term using these factors
4 x 2 + 4 x - 3 x - 3 = 0 factor by grouping
4x(x+1)−3(x+1)=0
take out the common factor (x+1)
( x + 1 ) ( 4 x - 3 ) = 0
equate each factor to zero and solve for x
x + 1 = 0 x = - 1
4 x - 3 = 0 x = 3 4
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