(p+7)(4p-3)=0

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Solution for (p+7)(4p-3)=0 equation:


Simplifying
(p + 7)(4p + -3) = 0

Reorder the terms:
(7 + p)(4p + -3) = 0

Reorder the terms:
(7 + p)(-3 + 4p) = 0

Multiply (7 + p) * (-3 + 4p)
(7(-3 + 4p) + p(-3 + 4p)) = 0
((-3 * 7 + 4p * 7) + p(-3 + 4p)) = 0
((-21 + 28p) + p(-3 + 4p)) = 0
(-21 + 28p + (-3 * p + 4p * p)) = 0
(-21 + 28p + (-3p + 4p2)) = 0

Combine like terms: 28p + -3p = 25p
(-21 + 25p + 4p2) = 0

Solving
-21 + 25p + 4p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-7 + -1p)(3 + -4p) = 0

Subproblem 1

Set the factor '(-7 + -1p)' equal to zero and attempt to solve: Simplifying -7 + -1p = 0 Solving -7 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1p = 0 + 7 -1p = 0 + 7 Combine like terms: 0 + 7 = 7 -1p = 7 Divide each side by '-1'. p = -7 Simplifying p = -7

Subproblem 2

Set the factor '(3 + -4p)' equal to zero and attempt to solve: Simplifying 3 + -4p = 0 Solving 3 + -4p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4p = 0 + -3 -4p = 0 + -3 Combine like terms: 0 + -3 = -3 -4p = -3 Divide each side by '-4'. p = 0.75 Simplifying p = 0.75

Solution

p = {-7, 0.75}

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