35[(p^2)-1]=24p

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Solution for 35[(p^2)-1]=24p equation:


Simplifying
35[(p2) + -1] = 24p
35[p2 + -1] = 24p

Reorder the terms:
35[-1 + p2] = 24p
[-1 * 35 + p2 * 35] = 24p
[-35 + 35p2] = 24p

Solving
-35 + 35p2 = 24p

Solving for variable 'p'.

Reorder the terms:
-35 + -24p + 35p2 = 24p + -24p

Combine like terms: 24p + -24p = 0
-35 + -24p + 35p2 = 0

Factor a trinomial.
(-5 + -7p)(7 + -5p) = 0

Subproblem 1

Set the factor '(-5 + -7p)' equal to zero and attempt to solve: Simplifying -5 + -7p = 0 Solving -5 + -7p = 0 Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -7p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7p = 0 + 5 -7p = 0 + 5 Combine like terms: 0 + 5 = 5 -7p = 5 Divide each side by '-7'. p = -0.7142857143 Simplifying p = -0.7142857143

Subproblem 2

Set the factor '(7 + -5p)' equal to zero and attempt to solve: Simplifying 7 + -5p = 0 Solving 7 + -5p = 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 + -5p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5p = 0 + -7 -5p = 0 + -7 Combine like terms: 0 + -7 = -7 -5p = -7 Divide each side by '-5'. p = 1.4 Simplifying p = 1.4

Solution

p = {-0.7142857143, 1.4}

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