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Simplifying (x + -3) * x2 + kx + -21 = 0findk Reorder the terms: (-3 + x) * x2 + kx + -21 = 0findk Reorder the terms for easier multiplication: x2(-3 + x) + kx + -21 = 0findk (-3 * x2 + x * x2) + kx + -21 = 0findk (-3x2 + x3) + kx + -21 = 0findk Reorder the terms: -21 + kx + -3x2 + x3 = 0findk Anything times zero is zero. -21 + kx + -3x2 + x3 = 0dfikn Solving -21 + kx + -3x2 + x3 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21' to each side of the equation. -21 + kx + -3x2 + 21 + x3 = 0 + 21 Reorder the terms: -21 + 21 + kx + -3x2 + x3 = 0 + 21 Combine like terms: -21 + 21 = 0 0 + kx + -3x2 + x3 = 0 + 21 kx + -3x2 + x3 = 0 + 21 Combine like terms: 0 + 21 = 21 kx + -3x2 + x3 = 21 Add '3x2' to each side of the equation. kx + -3x2 + 3x2 + x3 = 21 + 3x2 Combine like terms: -3x2 + 3x2 = 0 kx + 0 + x3 = 21 + 3x2 kx + x3 = 21 + 3x2 Add '-1x3' to each side of the equation. kx + x3 + -1x3 = 21 + 3x2 + -1x3 Combine like terms: x3 + -1x3 = 0 kx + 0 = 21 + 3x2 + -1x3 kx = 21 + 3x2 + -1x3 Divide each side by 'x'. k = 21x-1 + 3x + -1x2 Simplifying k = 21x-1 + 3x + -1x2
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