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Simplifying
(18p2) + -1(50q2) = 0
Remove parenthesis around (50q2)
(18p2) + -1 * 50q2 = 0
Multiply -1 * 50
(18p2) + -50q2 = 0
Solving
(18p2) + -50q2 = 0
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '50q2' to each side of the equation.
(18p2) + -50q2 + 50q2 = 0 + 50q2
Combine like terms: -50q2 + 50q2 = 0
(18p2) + 0 = 0 + 50q2
(18p2) = 0 + 50q2
Remove the zero:
(18p2) = 50q2
Divide each side by '18'.
p2 = 2.777777778q2
Simplifying
p2 = 2.777777778q2
Take the square root of each side:
p = {-1.666666667q, 1.666666667q}
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