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Simplifying c4 + -100c2 = 0 Reorder the terms: -100c2 + c4 = 0 Solving -100c2 + c4 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c2'. c2(-100 + c2) = 0 Factor a difference between two squares. c2((10 + c)(-10 + c)) = 0Subproblem 1
Set the factor 'c2' equal to zero and attempt to solve: Simplifying c2 = 0 Solving c2 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c2 = 0 Take the square root of each side: c = {0}Subproblem 2
Set 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 = -10Subproblem 3
Set 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 = 10Solution
c = {0, -10, 10}
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