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Simplifying 9x2 + -1(5 + k) * x + 25 = 0 Reorder the terms for easier multiplication: 9x2 + -1x(5 + k) + 25 = 0 9x2 + (5 * -1x + k * -1x) + 25 = 0 Reorder the terms: 9x2 + (-1kx + -5x) + 25 = 0 9x2 + (-1kx + -5x) + 25 = 0 Reorder the terms: 25 + -1kx + -5x + 9x2 = 0 Solving 25 + -1kx + -5x + 9x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -1kx + -5x + -25 + 9x2 = 0 + -25 Reorder the terms: 25 + -25 + -1kx + -5x + 9x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1kx + -5x + 9x2 = 0 + -25 -1kx + -5x + 9x2 = 0 + -25 Combine like terms: 0 + -25 = -25 -1kx + -5x + 9x2 = -25 Add '5x' to each side of the equation. -1kx + -5x + 5x + 9x2 = -25 + 5x Combine like terms: -5x + 5x = 0 -1kx + 0 + 9x2 = -25 + 5x -1kx + 9x2 = -25 + 5x Add '-9x2' to each side of the equation. -1kx + 9x2 + -9x2 = -25 + 5x + -9x2 Combine like terms: 9x2 + -9x2 = 0 -1kx + 0 = -25 + 5x + -9x2 -1kx = -25 + 5x + -9x2 Divide each side by '-1x'. k = 25x-1 + -5 + 9x Simplifying k = 25x-1 + -5 + 9x Reorder the terms: k = -5 + 25x-1 + 9x
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