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Simplifying -5n2 + 7n + -5 = -5 Reorder the terms: -5 + 7n + -5n2 = -5 Add '5' to each side of the equation. -5 + 7n + 5 + -5n2 = -5 + 5 Reorder the terms: -5 + 5 + 7n + -5n2 = -5 + 5 Combine like terms: -5 + 5 = 0 0 + 7n + -5n2 = -5 + 5 7n + -5n2 = -5 + 5 Combine like terms: -5 + 5 = 0 7n + -5n2 = 0 Solving 7n + -5n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(7 + -5n) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(7 + -5n)' equal to zero and attempt to solve: Simplifying 7 + -5n = 0 Solving 7 + -5n = 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 + -5n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5n = 0 + -7 -5n = 0 + -7 Combine like terms: 0 + -7 = -7 -5n = -7 Divide each side by '-5'. n = 1.4 Simplifying n = 1.4Solution
n = {0, 1.4}
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