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Simplifying (x + 5)(x + 5) = x2 + kx + m Reorder the terms: (5 + x)(x + 5) = x2 + kx + m Reorder the terms: (5 + x)(5 + x) = x2 + kx + m Multiply (5 + x) * (5 + x) (5(5 + x) + x(5 + x)) = x2 + kx + m ((5 * 5 + x * 5) + x(5 + x)) = x2 + kx + m ((25 + 5x) + x(5 + x)) = x2 + kx + m (25 + 5x + (5 * x + x * x)) = x2 + kx + m (25 + 5x + (5x + x2)) = x2 + kx + m Combine like terms: 5x + 5x = 10x (25 + 10x + x2) = x2 + kx + m Reorder the terms: 25 + 10x + x2 = kx + m + x2 Add '-1x2' to each side of the equation. 25 + 10x + x2 + -1x2 = kx + m + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 25 + 10x + 0 = kx + m + x2 + -1x2 25 + 10x = kx + m + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 25 + 10x = kx + m + 0 25 + 10x = kx + m Solving 25 + 10x = kx + m Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1kx' to each side of the equation. 25 + -1kx + 10x = kx + -1kx + m Combine like terms: kx + -1kx = 0 25 + -1kx + 10x = 0 + m 25 + -1kx + 10x = m Add '-25' to each side of the equation. 25 + -1kx + -25 + 10x = -25 + m Reorder the terms: 25 + -25 + -1kx + 10x = -25 + m Combine like terms: 25 + -25 = 0 0 + -1kx + 10x = -25 + m -1kx + 10x = -25 + m Reorder the terms: 25 + -1kx + -1m + 10x = -25 + m + 25 + -1m Reorder the terms: 25 + -1kx + -1m + 10x = -25 + 25 + m + -1m Combine like terms: -25 + 25 = 0 25 + -1kx + -1m + 10x = 0 + m + -1m 25 + -1kx + -1m + 10x = m + -1m Combine like terms: m + -1m = 0 25 + -1kx + -1m + 10x = 0 The solution to this equation could not be determined.
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