(x^2-3x-5)(4p+1)=

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Solution for (x^2-3x-5)(4p+1)= equation: 


Simplifying
(x2 + -3x + -5)(4p + 1) = 0

Reorder the terms:
(-5 + -3x + x2)(4p + 1) = 0

Reorder the terms:
(-5 + -3x + x2)(1 + 4p) = 0

Multiply (-5 + -3x + x2) * (1 + 4p)
(-5(1 + 4p) + -3x * (1 + 4p) + x2(1 + 4p)) = 0
((1 * -5 + 4p * -5) + -3x * (1 + 4p) + x2(1 + 4p)) = 0
((-5 + -20p) + -3x * (1 + 4p) + x2(1 + 4p)) = 0
(-5 + -20p + (1 * -3x + 4p * -3x) + x2(1 + 4p)) = 0

Reorder the terms:
(-5 + -20p + (-12px + -3x) + x2(1 + 4p)) = 0
(-5 + -20p + (-12px + -3x) + x2(1 + 4p)) = 0
(-5 + -20p + -12px + -3x + (1 * x2 + 4p * x2)) = 0

Reorder the terms:
(-5 + -20p + -12px + -3x + (4px2 + 1x2)) = 0
(-5 + -20p + -12px + -3x + (4px2 + 1x2)) = 0

Reorder the terms:
(-5 + -20p + -12px + 4px2 + -3x + 1x2) = 0
(-5 + -20p + -12px + 4px2 + -3x + 1x2) = 0

Solving
-5 + -20p + -12px + 4px2 + -3x + 1x2 = 0

Solving for variable 'p'.

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

Add '5' to each side of the equation.
-5 + -20p + -12px + 4px2 + -3x + 5 + 1x2 = 0 + 5

Reorder the terms:
-5 + 5 + -20p + -12px + 4px2 + -3x + 1x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -20p + -12px + 4px2 + -3x + 1x2 = 0 + 5
-20p + -12px + 4px2 + -3x + 1x2 = 0 + 5

Combine like terms: 0 + 5 = 5
-20p + -12px + 4px2 + -3x + 1x2 = 5

Add '3x' to each side of the equation.
-20p + -12px + 4px2 + -3x + 3x + 1x2 = 5 + 3x

Combine like terms: -3x + 3x = 0
-20p + -12px + 4px2 + 0 + 1x2 = 5 + 3x
-20p + -12px + 4px2 + 1x2 = 5 + 3x

Add '-1x2' to each side of the equation.
-20p + -12px + 4px2 + 1x2 + -1x2 = 5 + 3x + -1x2

Combine like terms: 1x2 + -1x2 = 0
-20p + -12px + 4px2 + 0 = 5 + 3x + -1x2
-20p + -12px + 4px2 = 5 + 3x + -1x2

Reorder the terms:
-5 + -20p + -12px + 4px2 + -3x + x2 = 5 + 3x + -1x2 + -5 + -3x + x2

Reorder the terms:
-5 + -20p + -12px + 4px2 + -3x + x2 = 5 + -5 + 3x + -3x + -1x2 + x2

Combine like terms: 5 + -5 = 0
-5 + -20p + -12px + 4px2 + -3x + x2 = 0 + 3x + -3x + -1x2 + x2
-5 + -20p + -12px + 4px2 + -3x + x2 = 3x + -3x + -1x2 + x2

Combine like terms: 3x + -3x = 0
-5 + -20p + -12px + 4px2 + -3x + x2 = 0 + -1x2 + x2
-5 + -20p + -12px + 4px2 + -3x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-5 + -20p + -12px + 4px2 + -3x + x2 = 0

The solution to this equation could not be determined.

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