(6w-5p)(6w-5p)=

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Solution for (6w-5p)(6w-5p)= equation:


Simplifying
(6w + -5p)(6w + -5p) = 0

Reorder the terms:
(-5p + 6w)(6w + -5p) = 0

Reorder the terms:
(-5p + 6w)(-5p + 6w) = 0

Multiply (-5p + 6w) * (-5p + 6w)
(-5p * (-5p + 6w) + 6w * (-5p + 6w)) = 0
((-5p * -5p + 6w * -5p) + 6w * (-5p + 6w)) = 0

Reorder the terms:
((-30pw + 25p2) + 6w * (-5p + 6w)) = 0
((-30pw + 25p2) + 6w * (-5p + 6w)) = 0
(-30pw + 25p2 + (-5p * 6w + 6w * 6w)) = 0
(-30pw + 25p2 + (-30pw + 36w2)) = 0

Reorder the terms:
(-30pw + -30pw + 25p2 + 36w2) = 0

Combine like terms: -30pw + -30pw = -60pw
(-60pw + 25p2 + 36w2) = 0

Solving
-60pw + 25p2 + 36w2 = 0

Solving for variable 'p'.

Factor a trinomial.
(5p + -6w)(5p + -6w) = 0

Subproblem 1

Set the factor '(5p + -6w)' equal to zero and attempt to solve: Simplifying 5p + -6w = 0 Solving 5p + -6w = 0 Move all terms containing p to the left, all other terms to the right. Add '6w' to each side of the equation. 5p + -6w + 6w = 0 + 6w Combine like terms: -6w + 6w = 0 5p + 0 = 0 + 6w 5p = 0 + 6w Remove the zero: 5p = 6w Divide each side by '5'. p = 1.2w Simplifying p = 1.2w

Subproblem 2

Set the factor '(5p + -6w)' equal to zero and attempt to solve: Simplifying 5p + -6w = 0 Solving 5p + -6w = 0 Move all terms containing p to the left, all other terms to the right. Add '6w' to each side of the equation. 5p + -6w + 6w = 0 + 6w Combine like terms: -6w + 6w = 0 5p + 0 = 0 + 6w 5p = 0 + 6w Remove the zero: 5p = 6w Divide each side by '5'. p = 1.2w Simplifying p = 1.2w

Solution

p = {1.2w, 1.2w}

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