[4p-(7q+3s)][4+(7q+3s)]=

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Solution for [4p-(7q+3s)][4+(7q+3s)]= equation: 


Simplifying
[4p + -1(7q + 3s)][4 + (7q + 3s)] = 0
[4p + (7q * -1 + 3s * -1)][4 + (7q + 3s)] = 0
[4p + (-7q + -3s)][4 + (7q + 3s)] = 0

Remove parenthesis around (7q + 3s)
[4p + -7q + -3s][4 + 7q + 3s] = 0

Multiply [4p + -7q + -3s] * [4 + 7q + 3s]
[4p * [4 + 7q + 3s] + -7q * [4 + 7q + 3s] + -3s * [4 + 7q + 3s]] = 0
[[4 * 4p + 7q * 4p + 3s * 4p] + -7q * [4 + 7q + 3s] + -3s * [4 + 7q + 3s]] = 0
[[16p + 28pq + 12ps] + -7q * [4 + 7q + 3s] + -3s * [4 + 7q + 3s]] = 0
[16p + 28pq + 12ps + [4 * -7q + 7q * -7q + 3s * -7q] + -3s * [4 + 7q + 3s]] = 0

Reorder the terms:
[16p + 28pq + 12ps + [-28q + -21qs + -49q2] + -3s * [4 + 7q + 3s]] = 0
[16p + 28pq + 12ps + [-28q + -21qs + -49q2] + -3s * [4 + 7q + 3s]] = 0
[16p + 28pq + 12ps + -28q + -21qs + -49q2 + [4 * -3s + 7q * -3s + 3s * -3s]] = 0

Reorder the terms:
[16p + 28pq + 12ps + -28q + -21qs + -49q2 + [-21qs + -12s + -9s2]] = 0
[16p + 28pq + 12ps + -28q + -21qs + -49q2 + [-21qs + -12s + -9s2]] = 0

Reorder the terms:
[16p + 28pq + 12ps + -28q + -21qs + -21qs + -49q2 + -12s + -9s2] = 0

Combine like terms: -21qs + -21qs = -42qs
[16p + 28pq + 12ps + -28q + -42qs + -49q2 + -12s + -9s2] = 0

Solving
16p + 28pq + 12ps + -28q + -42qs + -49q2 + -12s + -9s2 = 0

Solving for variable 'p'.

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

Add '28q' to each side of the equation.
16p + 28pq + 12ps + -28q + -42qs + -49q2 + -12s + 28q + -9s2 = 0 + 28q

Reorder the terms:
16p + 28pq + 12ps + -28q + 28q + -42qs + -49q2 + -12s + -9s2 = 0 + 28q

Combine like terms: -28q + 28q = 0
16p + 28pq + 12ps + 0 + -42qs + -49q2 + -12s + -9s2 = 0 + 28q
16p + 28pq + 12ps + -42qs + -49q2 + -12s + -9s2 = 0 + 28q
Remove the zero:
16p + 28pq + 12ps + -42qs + -49q2 + -12s + -9s2 = 28q

Add '42qs' to each side of the equation.
16p + 28pq + 12ps + -42qs + -49q2 + -12s + 42qs + -9s2 = 28q + 42qs

Reorder the terms:
16p + 28pq + 12ps + -42qs + 42qs + -49q2 + -12s + -9s2 = 28q + 42qs

Combine like terms: -42qs + 42qs = 0
16p + 28pq + 12ps + 0 + -49q2 + -12s + -9s2 = 28q + 42qs
16p + 28pq + 12ps + -49q2 + -12s + -9s2 = 28q + 42qs

Add '49q2' to each side of the equation.
16p + 28pq + 12ps + -49q2 + -12s + 49q2 + -9s2 = 28q + 42qs + 49q2

Reorder the terms:
16p + 28pq + 12ps + -49q2 + 49q2 + -12s + -9s2 = 28q + 42qs + 49q2

Combine like terms: -49q2 + 49q2 = 0
16p + 28pq + 12ps + 0 + -12s + -9s2 = 28q + 42qs + 49q2
16p + 28pq + 12ps + -12s + -9s2 = 28q + 42qs + 49q2

Add '12s' to each side of the equation.
16p + 28pq + 12ps + -12s + 12s + -9s2 = 28q + 42qs + 49q2 + 12s

Combine like terms: -12s + 12s = 0
16p + 28pq + 12ps + 0 + -9s2 = 28q + 42qs + 49q2 + 12s
16p + 28pq + 12ps + -9s2 = 28q + 42qs + 49q2 + 12s

Add '9s2' to each side of the equation.
16p + 28pq + 12ps + -9s2 + 9s2 = 28q + 42qs + 49q2 + 12s + 9s2

Combine like terms: -9s2 + 9s2 = 0
16p + 28pq + 12ps + 0 = 28q + 42qs + 49q2 + 12s + 9s2
16p + 28pq + 12ps = 28q + 42qs + 49q2 + 12s + 9s2

Reorder the terms:
16p + 28pq + 12ps + -28q + -42qs + -49q2 + -12s + -9s2 = 28q + -28q + 42qs + -42qs + 49q2 + -49q2 + 12s + -12s + 9s2 + -9s2

Combine like terms: 28q + -28q = 0
16p + 28pq + 12ps + -28q + -42qs + -49q2 + -12s + -9s2 = 0 + 42qs + -42qs + 49q2 + -49q2 + 12s + -12s + 9s2 + -9s2
16p + 28pq + 12ps + -28q + -42qs + -49q2 + -12s + -9s2 = 42qs + -42qs + 49q2 + -49q2 + 12s + -12s + 9s2 + -9s2

Combine like terms: 42qs + -42qs = 0
16p + 28pq + 12ps + -28q + -42qs + -49q2 + -12s + -9s2 = 0 + 49q2 + -49q2 + 12s + -12s + 9s2 + -9s2
16p + 28pq + 12ps + -28q + -42qs + -49q2 + -12s + -9s2 = 49q2 + -49q2 + 12s + -12s + 9s2 + -9s2

Combine like terms: 49q2 + -49q2 = 0
16p + 28pq + 12ps + -28q + -42qs + -49q2 + -12s + -9s2 = 0 + 12s + -12s + 9s2 + -9s2
16p + 28pq + 12ps + -28q + -42qs + -49q2 + -12s + -9s2 = 12s + -12s + 9s2 + -9s2

Combine like terms: 12s + -12s = 0
16p + 28pq + 12ps + -28q + -42qs + -49q2 + -12s + -9s2 = 0 + 9s2 + -9s2
16p + 28pq + 12ps + -28q + -42qs + -49q2 + -12s + -9s2 = 9s2 + -9s2

Combine like terms: 9s2 + -9s2 = 0
16p + 28pq + 12ps + -28q + -42qs + -49q2 + -12s + -9s2 = 0

The solution to this equation could not be determined.

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