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Simplifying (4n3 + -2n2) + -1(5n2 + 5n3) = 0 Reorder the terms: (-2n2 + 4n3) + -1(5n2 + 5n3) = 0 Remove parenthesis around (-2n2 + 4n3) -2n2 + 4n3 + -1(5n2 + 5n3) = 0 -2n2 + 4n3 + (5n2 * -1 + 5n3 * -1) = 0 -2n2 + 4n3 + (-5n2 + -5n3) = 0 Reorder the terms: -2n2 + -5n2 + 4n3 + -5n3 = 0 Combine like terms: -2n2 + -5n2 = -7n2 -7n2 + 4n3 + -5n3 = 0 Combine like terms: 4n3 + -5n3 = -1n3 -7n2 + -1n3 = 0 Solving -7n2 + -1n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '-1n2'. -1n2(7 + n) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'n2' equal to zero and attempt to solve: Simplifying n2 = 0 Solving n2 = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n2 = 0 Take the square root of each side: n = {0}Subproblem 2
Set the factor '(7 + n)' equal to zero and attempt to solve: Simplifying 7 + n = 0 Solving 7 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + n = 0 + -7 n = 0 + -7 Combine like terms: 0 + -7 = -7 n = -7 Simplifying n = -7Solution
n = {0, -7}
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