6p^2-p-70=0

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Solution for 6p^2-p-70=0 equation:


Simplifying
6p2 + -1p + -70 = 0

Reorder the terms:
-70 + -1p + 6p2 = 0

Solving
-70 + -1p + 6p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-10 + -3p)(7 + -2p) = 0

Subproblem 1

Set the factor '(-10 + -3p)' equal to zero and attempt to solve: Simplifying -10 + -3p = 0 Solving -10 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3p = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3p = 0 + 10 -3p = 0 + 10 Combine like terms: 0 + 10 = 10 -3p = 10 Divide each side by '-3'. p = -3.333333333 Simplifying p = -3.333333333

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 = {-3.333333333, 3.5}

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