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Simplifying k(13) = (x + -3)(3x + 4) Reorder the terms for easier multiplication: 13k = (x + -3)(3x + 4) Reorder the terms: 13k = (-3 + x)(3x + 4) Reorder the terms: 13k = (-3 + x)(4 + 3x) Multiply (-3 + x) * (4 + 3x) 13k = (-3(4 + 3x) + x(4 + 3x)) 13k = ((4 * -3 + 3x * -3) + x(4 + 3x)) 13k = ((-12 + -9x) + x(4 + 3x)) 13k = (-12 + -9x + (4 * x + 3x * x)) 13k = (-12 + -9x + (4x + 3x2)) Combine like terms: -9x + 4x = -5x 13k = (-12 + -5x + 3x2) Solving 13k = -12 + -5x + 3x2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by '13'. k = -0.9230769231 + -0.3846153846x + 0.2307692308x2 Simplifying k = -0.9230769231 + -0.3846153846x + 0.2307692308x2
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