(4p-4)(p-7)=

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Solution for (4p-4)(p-7)= equation:


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

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

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

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

Combine like terms: -4p + -28p = -32p
(28 + -32p + 4p2) = 0

Solving
28 + -32p + 4p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '4'.
4(7 + -8p + p2) = 0

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

Ignore the factor 4.

Subproblem 1

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

Subproblem 2

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

Solution

p = {1, 7}

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