Question

What are the solutions of the equation? c-^2-10c=0

Answer 1

Simplifying c2 + 10c = 0 Reorder the terms: 10c + c2 = 0 Solving 10c + c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c'. c(10 + c) = 0 Subproblem 1Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c = 0 Subproblem 2Set the factor '(10 + c)' equal to zero and attempt to solve: Simplifying 10 + c = 0 Solving 10 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + c = 0 + -10 Combine like terms: 10 + -10 = 0 0 + c = 0 + -10 c = 0 + -10 Combine like terms: 0 + -10 = -10 c = -10 Simplifying c = -10Solutionc = {0, -10}