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Simplifying 8c2 + 10c + -7 = 0 Reorder the terms: -7 + 10c + 8c2 = 0 Solving -7 + 10c + 8c2 = 0 Solving for variable 'c'. Factor a trinomial. (-7 + -4c)(1 + -2c) = 0Subproblem 1
Set the factor '(-7 + -4c)' equal to zero and attempt to solve: Simplifying -7 + -4c = 0 Solving -7 + -4c = 0 Move all terms containing c to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -4c = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4c = 0 + 7 -4c = 0 + 7 Combine like terms: 0 + 7 = 7 -4c = 7 Divide each side by '-4'. c = -1.75 Simplifying c = -1.75Subproblem 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 = {-1.75, 0.5}
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