14p^2-14=45p

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Solution for 14p^2-14=45p equation:


Simplifying
14p2 + -14 = 45p

Reorder the terms:
-14 + 14p2 = 45p

Solving
-14 + 14p2 = 45p

Solving for variable 'p'.

Reorder the terms:
-14 + -45p + 14p2 = 45p + -45p

Combine like terms: 45p + -45p = 0
-14 + -45p + 14p2 = 0

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

Subproblem 1

Set the factor '(-2 + -7p)' equal to zero and attempt to solve: Simplifying -2 + -7p = 0 Solving -2 + -7p = 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 + -7p = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7p = 0 + 2 -7p = 0 + 2 Combine like terms: 0 + 2 = 2 -7p = 2 Divide each side by '-7'. p = -0.2857142857 Simplifying p = -0.2857142857

Subproblem 2

Set the factor '(7 + -2p)' equal to zero and attempt to solve: Simplifying 7 + -2p = 0 Solving 7 + -2p = 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 + -2p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2p = 0 + -7 -2p = 0 + -7 Combine like terms: 0 + -7 = -7 -2p = -7 Divide each side by '-2'. p = 3.5 Simplifying p = 3.5

Solution

p = {-0.2857142857, 3.5}

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