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Simplifying 5kx2 + -1(2x + 10) * x + 4 = 0 Reorder the terms: 5kx2 + -1(10 + 2x) * x + 4 = 0 Reorder the terms for easier multiplication: 5kx2 + -1x(10 + 2x) + 4 = 0 5kx2 + (10 * -1x + 2x * -1x) + 4 = 0 5kx2 + (-10x + -2x2) + 4 = 0 Reorder the terms: 4 + 5kx2 + -10x + -2x2 = 0 Solving 4 + 5kx2 + -10x + -2x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 5kx2 + -10x + -4 + -2x2 = 0 + -4 Reorder the terms: 4 + -4 + 5kx2 + -10x + -2x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5kx2 + -10x + -2x2 = 0 + -4 5kx2 + -10x + -2x2 = 0 + -4 Combine like terms: 0 + -4 = -4 5kx2 + -10x + -2x2 = -4 Add '10x' to each side of the equation. 5kx2 + -10x + 10x + -2x2 = -4 + 10x Combine like terms: -10x + 10x = 0 5kx2 + 0 + -2x2 = -4 + 10x 5kx2 + -2x2 = -4 + 10x Add '2x2' to each side of the equation. 5kx2 + -2x2 + 2x2 = -4 + 10x + 2x2 Combine like terms: -2x2 + 2x2 = 0 5kx2 + 0 = -4 + 10x + 2x2 5kx2 = -4 + 10x + 2x2 Divide each side by '5x2'. k = -0.8x-2 + 2x-1 + 0.4 Simplifying k = -0.8x-2 + 2x-1 + 0.4 Reorder the terms: k = 0.4 + -0.8x-2 + 2x-1
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