2x^2-5x-52=(2x-k)(x+4)

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Solution for 2x^2-5x-52=(2x-k)(x+4) equation:


Simplifying
2x2 + -5x + -52 = (2x + -1k)(x + 4)

Reorder the terms:
-52 + -5x + 2x2 = (2x + -1k)(x + 4)

Reorder the terms:
-52 + -5x + 2x2 = (-1k + 2x)(x + 4)

Reorder the terms:
-52 + -5x + 2x2 = (-1k + 2x)(4 + x)

Multiply (-1k + 2x) * (4 + x)
-52 + -5x + 2x2 = (-1k * (4 + x) + 2x * (4 + x))
-52 + -5x + 2x2 = ((4 * -1k + x * -1k) + 2x * (4 + x))
-52 + -5x + 2x2 = ((-4k + -1kx) + 2x * (4 + x))
-52 + -5x + 2x2 = (-4k + -1kx + (4 * 2x + x * 2x))
-52 + -5x + 2x2 = (-4k + -1kx + (8x + 2x2))
-52 + -5x + 2x2 = (-4k + -1kx + 8x + 2x2)

Add '-2x2' to each side of the equation.
-52 + -5x + 2x2 + -2x2 = -4k + -1kx + 8x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-52 + -5x + 0 = -4k + -1kx + 8x + 2x2 + -2x2
-52 + -5x = -4k + -1kx + 8x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-52 + -5x = -4k + -1kx + 8x + 0
-52 + -5x = -4k + -1kx + 8x

Solving
-52 + -5x = -4k + -1kx + 8x

Solving for variable 'x'.

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

Add 'kx' to each side of the equation.
-52 + kx + -5x = -4k + -1kx + kx + 8x

Combine like terms: -1kx + kx = 0
-52 + kx + -5x = -4k + 0 + 8x
-52 + kx + -5x = -4k + 8x

Add '-8x' to each side of the equation.
-52 + kx + -5x + -8x = -4k + 8x + -8x

Combine like terms: -5x + -8x = -13x
-52 + kx + -13x = -4k + 8x + -8x

Combine like terms: 8x + -8x = 0
-52 + kx + -13x = -4k + 0
-52 + kx + -13x = -4k

Add '52' to each side of the equation.
-52 + kx + 52 + -13x = 52 + -4k

Reorder the terms:
-52 + 52 + kx + -13x = 52 + -4k

Combine like terms: -52 + 52 = 0
0 + kx + -13x = 52 + -4k
kx + -13x = 52 + -4k

Reorder the terms:
-52 + 4k + kx + -13x = 52 + -4k + -52 + 4k

Reorder the terms:
-52 + 4k + kx + -13x = 52 + -52 + -4k + 4k

Combine like terms: 52 + -52 = 0
-52 + 4k + kx + -13x = 0 + -4k + 4k
-52 + 4k + kx + -13x = -4k + 4k

Combine like terms: -4k + 4k = 0
-52 + 4k + kx + -13x = 0

The solution to this equation could not be determined.

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