7p^2=8p+12

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Solution for 7p^2=8p+12 equation:


Simplifying
7p2 = 8p + 12

Reorder the terms:
7p2 = 12 + 8p

Solving
7p2 = 12 + 8p

Solving for variable 'p'.

Reorder the terms:
-12 + -8p + 7p2 = 12 + 8p + -12 + -8p

Reorder the terms:
-12 + -8p + 7p2 = 12 + -12 + 8p + -8p

Combine like terms: 12 + -12 = 0
-12 + -8p + 7p2 = 0 + 8p + -8p
-12 + -8p + 7p2 = 8p + -8p

Combine like terms: 8p + -8p = 0
-12 + -8p + 7p2 = 0

Factor a trinomial.
(-6 + -7p)(2 + -1p) = 0

Subproblem 1

Set the factor '(-6 + -7p)' equal to zero and attempt to solve: Simplifying -6 + -7p = 0 Solving -6 + -7p = 0 Move all terms containing p to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -7p = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -7p = 0 + 6 -7p = 0 + 6 Combine like terms: 0 + 6 = 6 -7p = 6 Divide each side by '-7'. p = -0.8571428571 Simplifying p = -0.8571428571

Subproblem 2

Set the factor '(2 + -1p)' equal to zero and attempt to solve: Simplifying 2 + -1p = 0 Solving 2 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 0 + -2 -1p = 0 + -2 Combine like terms: 0 + -2 = -2 -1p = -2 Divide each side by '-1'. p = 2 Simplifying p = 2

Solution

p = {-0.8571428571, 2}

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