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Simplifying (n * n + 5 * 5) + -1(n * n + 3 * 3) = 4(n + 4) Multiply n * n (n2 + 5 * 5) + -1(n * n + 3 * 3) = 4(n + 4) Multiply 5 * 5 (n2 + 25) + -1(n * n + 3 * 3) = 4(n + 4) Reorder the terms: (25 + n2) + -1(n * n + 3 * 3) = 4(n + 4) Remove parenthesis around (25 + n2) 25 + n2 + -1(n * n + 3 * 3) = 4(n + 4) Multiply n * n 25 + n2 + -1(n2 + 3 * 3) = 4(n + 4) Multiply 3 * 3 25 + n2 + -1(n2 + 9) = 4(n + 4) Reorder the terms: 25 + n2 + -1(9 + n2) = 4(n + 4) 25 + n2 + (9 * -1 + n2 * -1) = 4(n + 4) 25 + n2 + (-9 + -1n2) = 4(n + 4) Reorder the terms: 25 + -9 + n2 + -1n2 = 4(n + 4) Combine like terms: 25 + -9 = 16 16 + n2 + -1n2 = 4(n + 4) Combine like terms: n2 + -1n2 = 0 16 + 0 = 4(n + 4) 16 = 4(n + 4) Reorder the terms: 16 = 4(4 + n) 16 = (4 * 4 + n * 4) 16 = (16 + 4n) Add '-16' to each side of the equation. 16 + -16 = 16 + -16 + 4n Combine like terms: 16 + -16 = 0 0 = 16 + -16 + 4n Combine like terms: 16 + -16 = 0 0 = 0 + 4n 0 = 4n Solving 0 = 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 0 + -4n = 4n + -4n Remove the zero: -4n = 4n + -4n Combine like terms: 4n + -4n = 0 -4n = 0 Divide each side by '-4'. n = 0 Simplifying n = 0
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