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Simplifying (3x + -1k)(2x + 5) = 0 Reorder the terms: (-1k + 3x)(2x + 5) = 0 Reorder the terms: (-1k + 3x)(5 + 2x) = 0 Multiply (-1k + 3x) * (5 + 2x) (-1k * (5 + 2x) + 3x * (5 + 2x)) = 0 ((5 * -1k + 2x * -1k) + 3x * (5 + 2x)) = 0 ((-5k + -2kx) + 3x * (5 + 2x)) = 0 (-5k + -2kx + (5 * 3x + 2x * 3x)) = 0 (-5k + -2kx + (15x + 6x2)) = 0 (-5k + -2kx + 15x + 6x2) = 0 Solving -5k + -2kx + 15x + 6x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15x' to each side of the equation. -5k + -2kx + 15x + -15x + 6x2 = 0 + -15x Combine like terms: 15x + -15x = 0 -5k + -2kx + 0 + 6x2 = 0 + -15x -5k + -2kx + 6x2 = 0 + -15x Remove the zero: -5k + -2kx + 6x2 = -15x Add '-6x2' to each side of the equation. -5k + -2kx + 6x2 + -6x2 = -15x + -6x2 Combine like terms: 6x2 + -6x2 = 0 -5k + -2kx + 0 = -15x + -6x2 -5k + -2kx = -15x + -6x2 Reorder the terms: -5k + -2kx + 15x + 6x2 = -15x + 15x + -6x2 + 6x2 Combine like terms: -15x + 15x = 0 -5k + -2kx + 15x + 6x2 = 0 + -6x2 + 6x2 -5k + -2kx + 15x + 6x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 -5k + -2kx + 15x + 6x2 = 0 The solution to this equation could not be determined.
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