(px+q)(4x-3)=8x^2-2x+r

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Solution for (px+q)(4x-3)=8x^2-2x+r equation: 


Simplifying
(px + q)(4x + -3) = 8x2 + -2x + r

Reorder the terms:
(px + q)(-3 + 4x) = 8x2 + -2x + r

Multiply (px + q) * (-3 + 4x)
(px(-3 + 4x) + q(-3 + 4x)) = 8x2 + -2x + r
((-3 * px + 4x * px) + q(-3 + 4x)) = 8x2 + -2x + r
((-3px + 4px2) + q(-3 + 4x)) = 8x2 + -2x + r
(-3px + 4px2 + (-3 * q + 4x * q)) = 8x2 + -2x + r
(-3px + 4px2 + (-3q + 4qx)) = 8x2 + -2x + r
(-3px + 4px2 + -3q + 4qx) = 8x2 + -2x + r

Reorder the terms:
-3px + 4px2 + -3q + 4qx = r + -2x + 8x2

Solving
-3px + 4px2 + -3q + 4qx = r + -2x + 8x2

Solving for variable 'p'.

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

Add '3q' to each side of the equation.
-3px + 4px2 + -3q + 3q + 4qx = r + -2x + 3q + 8x2

Combine like terms: -3q + 3q = 0
-3px + 4px2 + 0 + 4qx = r + -2x + 3q + 8x2
-3px + 4px2 + 4qx = r + -2x + 3q + 8x2

Reorder the terms:
-3px + 4px2 + 4qx = 3q + r + -2x + 8x2

Add '-4qx' to each side of the equation.
-3px + 4px2 + 4qx + -4qx = 3q + r + -2x + -4qx + 8x2

Combine like terms: 4qx + -4qx = 0
-3px + 4px2 + 0 = 3q + r + -2x + -4qx + 8x2
-3px + 4px2 = 3q + r + -2x + -4qx + 8x2

Reorder the terms:
-3px + 4px2 = 3q + -4qx + r + -2x + 8x2

Reorder the terms:
-3px + 4px2 + -3q + 4qx + -1r + 2x + -8x2 = 3q + -3q + -4qx + 4qx + r + -1r + -2x + 2x + 8x2 + -8x2

Combine like terms: 3q + -3q = 0
-3px + 4px2 + -3q + 4qx + -1r + 2x + -8x2 = 0 + -4qx + 4qx + r + -1r + -2x + 2x + 8x2 + -8x2
-3px + 4px2 + -3q + 4qx + -1r + 2x + -8x2 = -4qx + 4qx + r + -1r + -2x + 2x + 8x2 + -8x2

Combine like terms: -4qx + 4qx = 0
-3px + 4px2 + -3q + 4qx + -1r + 2x + -8x2 = 0 + r + -1r + -2x + 2x + 8x2 + -8x2
-3px + 4px2 + -3q + 4qx + -1r + 2x + -8x2 = r + -1r + -2x + 2x + 8x2 + -8x2

Combine like terms: r + -1r = 0
-3px + 4px2 + -3q + 4qx + -1r + 2x + -8x2 = 0 + -2x + 2x + 8x2 + -8x2
-3px + 4px2 + -3q + 4qx + -1r + 2x + -8x2 = -2x + 2x + 8x2 + -8x2

Combine like terms: -2x + 2x = 0
-3px + 4px2 + -3q + 4qx + -1r + 2x + -8x2 = 0 + 8x2 + -8x2
-3px + 4px2 + -3q + 4qx + -1r + 2x + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-3px + 4px2 + -3q + 4qx + -1r + 2x + -8x2 = 0

The solution to this equation could not be determined.

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