4x+4x-9(px+t)(px-t)=

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Solution for 4x+4x-9(px+t)(px-t)= equation:


Simplifying
4x + 4x + -9(px + t)(px + -1t) = 0

Multiply (px + t) * (px + -1t)
4x + 4x + -9(px(px + -1t) + t(px + -1t)) = 0
4x + 4x + -9((px * px + -1t * px) + t(px + -1t)) = 0

Reorder the terms:
4x + 4x + -9((-1ptx + p2x2) + t(px + -1t)) = 0
4x + 4x + -9((-1ptx + p2x2) + t(px + -1t)) = 0
4x + 4x + -9(-1ptx + p2x2 + (px * t + -1t * t)) = 0
4x + 4x + -9(-1ptx + p2x2 + (ptx + -1t2)) = 0

Reorder the terms:
4x + 4x + -9(-1ptx + ptx + p2x2 + -1t2) = 0

Combine like terms: -1ptx + ptx = 0
4x + 4x + -9(0 + p2x2 + -1t2) = 0
4x + 4x + -9(p2x2 + -1t2) = 0
4x + 4x + (p2x2 * -9 + -1t2 * -9) = 0
4x + 4x + (-9p2x2 + 9t2) = 0

Reorder the terms:
-9p2x2 + 9t2 + 4x + 4x = 0

Combine like terms: 4x + 4x = 8x
-9p2x2 + 9t2 + 8x = 0

Solving
-9p2x2 + 9t2 + 8x = 0

Solving for variable 'p'.

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

Add '-9t2' to each side of the equation.
-9p2x2 + 9t2 + -9t2 + 8x = 0 + -9t2

Combine like terms: 9t2 + -9t2 = 0
-9p2x2 + 0 + 8x = 0 + -9t2
-9p2x2 + 8x = 0 + -9t2
Remove the zero:
-9p2x2 + 8x = -9t2

Add '-8x' to each side of the equation.
-9p2x2 + 8x + -8x = -9t2 + -8x

Combine like terms: 8x + -8x = 0
-9p2x2 + 0 = -9t2 + -8x
-9p2x2 = -9t2 + -8x

Divide each side by '-9x2'.
p2 = t2x-2 + 0.8888888889x-1

Simplifying
p2 = t2x-2 + 0.8888888889x-1

Reorder the terms:
p2 + -1t2x-2 + -0.8888888889x-1 = t2x-2 + -1t2x-2 + 0.8888888889x-1 + -0.8888888889x-1

Combine like terms: t2x-2 + -1t2x-2 = 0
p2 + -1t2x-2 + -0.8888888889x-1 = 0 + 0.8888888889x-1 + -0.8888888889x-1
p2 + -1t2x-2 + -0.8888888889x-1 = 0.8888888889x-1 + -0.8888888889x-1

Combine like terms: 0.8888888889x-1 + -0.8888888889x-1 = 0.0000000000
p2 + -1t2x-2 + -0.8888888889x-1 = 0.0000000000

The solution to this equation could not be determined.

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