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Simplifying
-6p2 + -25 + -7p = -7p + -7p2
Reorder the terms:
-25 + -7p + -6p2 = -7p + -7p2
Add '7p' to each side of the equation.
-25 + -7p + 7p + -6p2 = -7p + 7p + -7p2
Combine like terms: -7p + 7p = 0
-25 + 0 + -6p2 = -7p + 7p + -7p2
-25 + -6p2 = -7p + 7p + -7p2
Combine like terms: -7p + 7p = 0
-25 + -6p2 = 0 + -7p2
-25 + -6p2 = -7p2
Solving
-25 + -6p2 = -7p2
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '7p2' to each side of the equation.
-25 + -6p2 + 7p2 = -7p2 + 7p2
Combine like terms: -6p2 + 7p2 = 1p2
-25 + 1p2 = -7p2 + 7p2
Combine like terms: -7p2 + 7p2 = 0
-25 + 1p2 = 0
Add '25' to each side of the equation.
-25 + 25 + 1p2 = 0 + 25
Combine like terms: -25 + 25 = 0
0 + 1p2 = 0 + 25
1p2 = 0 + 25
Combine like terms: 0 + 25 = 25
1p2 = 25
Divide each side by '1'.
p2 = 25
Simplifying
p2 = 25
Take the square root of each side:
p = {-5, 5}
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