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Simplifying 4c2 + 4c + -3 = 0 Reorder the terms: -3 + 4c + 4c2 = 0 Solving -3 + 4c + 4c2 = 0 Solving for variable 'c'. Factor a trinomial. (-3 + -2c)(1 + -2c) = 0Subproblem 1
Set the factor '(-3 + -2c)' equal to zero and attempt to solve: Simplifying -3 + -2c = 0 Solving -3 + -2c = 0 Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2c = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2c = 0 + 3 -2c = 0 + 3 Combine like terms: 0 + 3 = 3 -2c = 3 Divide each side by '-2'. c = -1.5 Simplifying c = -1.5Subproblem 2
Set the factor '(1 + -2c)' equal to zero and attempt to solve: Simplifying 1 + -2c = 0 Solving 1 + -2c = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2c = 0 + -1 -2c = 0 + -1 Combine like terms: 0 + -1 = -1 -2c = -1 Divide each side by '-2'. c = 0.5 Simplifying c = 0.5Solution
c = {-1.5, 0.5}
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