p^2+8q-1400=-p^2+14q+700

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Solution for p^2+8q-1400=-p^2+14q+700 equation:


Simplifying
p2 + 8q + -1400 = -1p2 + 14q + 700

Reorder the terms:
-1400 + p2 + 8q = -1p2 + 14q + 700

Reorder the terms:
-1400 + p2 + 8q = 700 + -1p2 + 14q

Solving
-1400 + p2 + 8q = 700 + -1p2 + 14q

Solving for variable 'p'.

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

Add 'p2' to each side of the equation.
-1400 + p2 + p2 + 8q = 700 + -1p2 + p2 + 14q

Combine like terms: p2 + p2 = 2p2
-1400 + 2p2 + 8q = 700 + -1p2 + p2 + 14q

Combine like terms: -1p2 + p2 = 0
-1400 + 2p2 + 8q = 700 + 0 + 14q
-1400 + 2p2 + 8q = 700 + 14q

Add '1400' to each side of the equation.
-1400 + 2p2 + 1400 + 8q = 700 + 1400 + 14q

Reorder the terms:
-1400 + 1400 + 2p2 + 8q = 700 + 1400 + 14q

Combine like terms: -1400 + 1400 = 0
0 + 2p2 + 8q = 700 + 1400 + 14q
2p2 + 8q = 700 + 1400 + 14q

Combine like terms: 700 + 1400 = 2100
2p2 + 8q = 2100 + 14q

Add '-8q' to each side of the equation.
2p2 + 8q + -8q = 2100 + 14q + -8q

Combine like terms: 8q + -8q = 0
2p2 + 0 = 2100 + 14q + -8q
2p2 = 2100 + 14q + -8q

Combine like terms: 14q + -8q = 6q
2p2 = 2100 + 6q

Divide each side by '2'.
p2 = 1050 + 3q

Simplifying
p2 = 1050 + 3q

Reorder the terms:
-1050 + p2 + -3q = 1050 + 3q + -1050 + -3q

Reorder the terms:
-1050 + p2 + -3q = 1050 + -1050 + 3q + -3q

Combine like terms: 1050 + -1050 = 0
-1050 + p2 + -3q = 0 + 3q + -3q
-1050 + p2 + -3q = 3q + -3q

Combine like terms: 3q + -3q = 0
-1050 + p2 + -3q = 0

The solution to this equation could not be determined.

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