(-6p^2+8p-7)+(2p^2-8p+9)=0

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Solution for (-6p^2+8p-7)+(2p^2-8p+9)=0 equation: 


Simplifying
(-6p2 + 8p + -7) + (2p2 + -8p + 9) = 0

Reorder the terms:
(-7 + 8p + -6p2) + (2p2 + -8p + 9) = 0

Remove parenthesis around (-7 + 8p + -6p2)
-7 + 8p + -6p2 + (2p2 + -8p + 9) = 0

Reorder the terms:
-7 + 8p + -6p2 + (9 + -8p + 2p2) = 0

Remove parenthesis around (9 + -8p + 2p2)
-7 + 8p + -6p2 + 9 + -8p + 2p2 = 0

Reorder the terms:
-7 + 9 + 8p + -8p + -6p2 + 2p2 = 0

Combine like terms: -7 + 9 = 2
2 + 8p + -8p + -6p2 + 2p2 = 0

Combine like terms: 8p + -8p = 0
2 + 0 + -6p2 + 2p2 = 0
2 + -6p2 + 2p2 = 0

Combine like terms: -6p2 + 2p2 = -4p2
2 + -4p2 = 0

Solving
2 + -4p2 = 0

Solving for variable 'p'.

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

Add '-2' to each side of the equation.
2 + -2 + -4p2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -4p2 = 0 + -2
-4p2 = 0 + -2

Combine like terms: 0 + -2 = -2
-4p2 = -2

Divide each side by '-4'.
p2 = 0.5

Simplifying
p2 = 0.5

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

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