=4p^4-9w^2

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Solution for =4p^4-9w^2 equation:


Simplifying
0 = 4p4 + -9w2

Solving
0 = 4p4 + -9w2

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-4p4' to each side of the equation.
0 + -4p4 = 4p4 + -4p4 + -9w2
Remove the zero:
-4p4 = 4p4 + -4p4 + -9w2

Combine like terms: 4p4 + -4p4 = 0
-4p4 = 0 + -9w2
-4p4 = -9w2

Divide each side by '-4'.
p4 = 2.25w2

Simplifying
p4 = 2.25w2

Combine like terms: 2.25w2 + -2.25w2 = 0.00
p4 + -2.25w2 = 0.00

Factor a difference between two squares.
(p2 + 1.5w)(p2 + -1.5w) = 0.00

Subproblem 1

Set the factor '(p2 + 1.5w)' equal to zero and attempt to solve: Simplifying p2 + 1.5w = 0 Solving p2 + 1.5w = 0 Move all terms containing p to the left, all other terms to the right. Add '-1.5w' to each side of the equation. p2 + 1.5w + -1.5w = 0 + -1.5w Combine like terms: 1.5w + -1.5w = 0.0 p2 + 0.0 = 0 + -1.5w p2 = 0 + -1.5w Remove the zero: p2 = -1.5w Simplifying p2 = -1.5w The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(p2 + -1.5w)' equal to zero and attempt to solve: Simplifying p2 + -1.5w = 0 Solving p2 + -1.5w = 0 Move all terms containing p to the left, all other terms to the right. Add '1.5w' to each side of the equation. p2 + -1.5w + 1.5w = 0 + 1.5w Combine like terms: -1.5w + 1.5w = 0.0 p2 + 0.0 = 0 + 1.5w p2 = 0 + 1.5w Remove the zero: p2 = 1.5w Simplifying p2 = 1.5w The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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