3p^2+7=9p^2+4

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Solution for 3p^2+7=9p^2+4 equation: 


Simplifying
3p2 + 7 = 9p2 + 4

Reorder the terms:
7 + 3p2 = 9p2 + 4

Reorder the terms:
7 + 3p2 = 4 + 9p2

Solving
7 + 3p2 = 4 + 9p2

Solving for variable 'p'.

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

Add '-9p2' to each side of the equation.
7 + 3p2 + -9p2 = 4 + 9p2 + -9p2

Combine like terms: 3p2 + -9p2 = -6p2
7 + -6p2 = 4 + 9p2 + -9p2

Combine like terms: 9p2 + -9p2 = 0
7 + -6p2 = 4 + 0
7 + -6p2 = 4

Add '-7' to each side of the equation.
7 + -7 + -6p2 = 4 + -7

Combine like terms: 7 + -7 = 0
0 + -6p2 = 4 + -7
-6p2 = 4 + -7

Combine like terms: 4 + -7 = -3
-6p2 = -3

Divide each side by '-6'.
p2 = 0.5

Simplifying
p2 = 0.5

Take the square root of each side:
p = {-0.707106781, 0.707106781}

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