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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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