15=k(x-3)(x+5)

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Solution for 15=k(x-3)(x+5) equation:


Simplifying
15 = k(x + -3)(x + 5)

Reorder the terms:
15 = k(-3 + x)(x + 5)

Reorder the terms:
15 = k(-3 + x)(5 + x)

Multiply (-3 + x) * (5 + x)
15 = k(-3(5 + x) + x(5 + x))
15 = k((5 * -3 + x * -3) + x(5 + x))
15 = k((-15 + -3x) + x(5 + x))
15 = k(-15 + -3x + (5 * x + x * x))
15 = k(-15 + -3x + (5x + x2))

Combine like terms: -3x + 5x = 2x
15 = k(-15 + 2x + x2)
15 = (-15 * k + 2x * k + x2 * k)
15 = (-15k + 2kx + kx2)

Solving
15 = -15k + 2kx + kx2

Solving for variable 'k'.

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

Add '15k' to each side of the equation.
15 + 15k = -15k + 2kx + 15k + kx2

Reorder the terms:
15 + 15k = -15k + 15k + 2kx + kx2

Combine like terms: -15k + 15k = 0
15 + 15k = 0 + 2kx + kx2
15 + 15k = 2kx + kx2

Add '-2kx' to each side of the equation.
15 + 15k + -2kx = 2kx + -2kx + kx2

Combine like terms: 2kx + -2kx = 0
15 + 15k + -2kx = 0 + kx2
15 + 15k + -2kx = kx2

Add '-1kx2' to each side of the equation.
15 + 15k + -2kx + -1kx2 = kx2 + -1kx2

Combine like terms: kx2 + -1kx2 = 0
15 + 15k + -2kx + -1kx2 = 0

Add '-15' to each side of the equation.
15 + 15k + -2kx + -15 + -1kx2 = 0 + -15

Reorder the terms:
15 + -15 + 15k + -2kx + -1kx2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 15k + -2kx + -1kx2 = 0 + -15
15k + -2kx + -1kx2 = 0 + -15

Combine like terms: 0 + -15 = -15
15k + -2kx + -1kx2 = -15

Reorder the terms:
15 + 15k + -2kx + -1kx2 = -15 + 15

Combine like terms: -15 + 15 = 0
15 + 15k + -2kx + -1kx2 = 0

The solution to this equation could not be determined.

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