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Simplifying 5x2 + -3kx + 5x + -3 = 0 Reorder the terms: -3 + -3kx + 5x + 5x2 = 0 Solving -3 + -3kx + 5x + 5x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -3kx + 5x + 3 + 5x2 = 0 + 3 Reorder the terms: -3 + 3 + -3kx + 5x + 5x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -3kx + 5x + 5x2 = 0 + 3 -3kx + 5x + 5x2 = 0 + 3 Combine like terms: 0 + 3 = 3 -3kx + 5x + 5x2 = 3 Add '-5x' to each side of the equation. -3kx + 5x + -5x + 5x2 = 3 + -5x Combine like terms: 5x + -5x = 0 -3kx + 0 + 5x2 = 3 + -5x -3kx + 5x2 = 3 + -5x Add '-5x2' to each side of the equation. -3kx + 5x2 + -5x2 = 3 + -5x + -5x2 Combine like terms: 5x2 + -5x2 = 0 -3kx + 0 = 3 + -5x + -5x2 -3kx = 3 + -5x + -5x2 Divide each side by '-3x'. k = -1x-1 + 1.666666667 + 1.666666667x Simplifying k = -1x-1 + 1.666666667 + 1.666666667x Reorder the terms: k = 1.666666667 + -1x-1 + 1.666666667x
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