Use the quadratic formula to solve. Express your answer in simplest form. 16p^(2)+2p-15=-6p Answer: p= sqrt()+-

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Use the quadratic formula to solve. Express your answer in simplest form.  16p^(2)+2p-15=-6p Answer:  p=  sqrt()+-

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Identify coefficients: Now that we have the equation in standard form, we can identify the coefficients a, b, and c to use in the quadratic formula. a = 16, b = 8, c = -15Use quadratic formula: The quadratic formula is given by (-b ± sqrt(b^2 - 4ac)) / (2a). Let's substitute the values of a, b, and c into the formula. (-8 ± sqrt(8^2 - 4*16*(-15))) / (2*16)Simplify discriminant: Now, let's simplify the expression under the square root (the discriminant). 8^2 = 64 4*16*(-15) = -960 So, the discriminant is 64 - (-960) = 64 + 960 = 1024 (-8 ± sqrt(1024)) / (2*16)Take square root: Next, we take the square root of the discriminant. sqrt(1024) = 32 So, we have (-8 ± 32) / (2*16)Perform addition and subtraction: Now, we simplify the expression by performing the addition and subtraction. (-8 + 32) / (2*16) and (-8 - 32) / (2*16) (24 / 32) and (-40 / 32)Simplify fractions: Finally, we simplify the fractions by dividing both numerator and denominator by their greatest common divisor. 24 / 32 = 3 / 4 -40 / 32 = -5 / 4

Use the quadratic formula to solve. Express your answer in simplest form. $\newline$ $16 p^{2}+2 p-15=-6 p$ $\newline$ Answer: $p=$

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Use the quadratic formula to solve. Express your answer in simplest form.\newline16p2+2p−15=−6p 16 p^{2}+2 p-15=-6 p 16p2+2p−15=−6p\newlineAnswer: p= p= p=

Use the quadratic formula to solve. Express your answer in simplest form. $\newline$ $16 p^{2}+2 p-15=-6 p$ $\newline$ Answer: $p=$