6(5p-23)(p+5)=30p(p-5)

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Solution for 6(5p-23)(p+5)=30p(p-5) equation: 


Simplifying
6(5p + -23)(p + 5) = 30p(p + -5)

Reorder the terms:
6(-23 + 5p)(p + 5) = 30p(p + -5)

Reorder the terms:
6(-23 + 5p)(5 + p) = 30p(p + -5)

Multiply (-23 + 5p) * (5 + p)
6(-23(5 + p) + 5p * (5 + p)) = 30p(p + -5)
6((5 * -23 + p * -23) + 5p * (5 + p)) = 30p(p + -5)
6((-115 + -23p) + 5p * (5 + p)) = 30p(p + -5)
6(-115 + -23p + (5 * 5p + p * 5p)) = 30p(p + -5)
6(-115 + -23p + (25p + 5p2)) = 30p(p + -5)

Combine like terms: -23p + 25p = 2p
6(-115 + 2p + 5p2) = 30p(p + -5)
(-115 * 6 + 2p * 6 + 5p2 * 6) = 30p(p + -5)
(-690 + 12p + 30p2) = 30p(p + -5)

Reorder the terms:
-690 + 12p + 30p2 = 30p(-5 + p)
-690 + 12p + 30p2 = (-5 * 30p + p * 30p)
-690 + 12p + 30p2 = (-150p + 30p2)

Add '-30p2' to each side of the equation.
-690 + 12p + 30p2 + -30p2 = -150p + 30p2 + -30p2

Combine like terms: 30p2 + -30p2 = 0
-690 + 12p + 0 = -150p + 30p2 + -30p2
-690 + 12p = -150p + 30p2 + -30p2

Combine like terms: 30p2 + -30p2 = 0
-690 + 12p = -150p + 0
-690 + 12p = -150p

Solving
-690 + 12p = -150p

Solving for variable 'p'.

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

Add '150p' to each side of the equation.
-690 + 12p + 150p = -150p + 150p

Combine like terms: 12p + 150p = 162p
-690 + 162p = -150p + 150p

Combine like terms: -150p + 150p = 0
-690 + 162p = 0

Add '690' to each side of the equation.
-690 + 690 + 162p = 0 + 690

Combine like terms: -690 + 690 = 0
0 + 162p = 0 + 690
162p = 0 + 690

Combine like terms: 0 + 690 = 690
162p = 690

Divide each side by '162'.
p = 4.259259259

Simplifying
p = 4.259259259

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