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Simplifying (c + -7)(2c + 9) = 0 Reorder the terms: (-7 + c)(2c + 9) = 0 Reorder the terms: (-7 + c)(9 + 2c) = 0 Multiply (-7 + c) * (9 + 2c) (-7(9 + 2c) + c(9 + 2c)) = 0 ((9 * -7 + 2c * -7) + c(9 + 2c)) = 0 ((-63 + -14c) + c(9 + 2c)) = 0 (-63 + -14c + (9 * c + 2c * c)) = 0 (-63 + -14c + (9c + 2c2)) = 0 Combine like terms: -14c + 9c = -5c (-63 + -5c + 2c2) = 0 Solving -63 + -5c + 2c2 = 0 Solving for variable 'c'. Factor a trinomial. (-9 + -2c)(7 + -1c) = 0Subproblem 1
Set the factor '(-9 + -2c)' equal to zero and attempt to solve: Simplifying -9 + -2c = 0 Solving -9 + -2c = 0 Move all terms containing c to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2c = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2c = 0 + 9 -2c = 0 + 9 Combine like terms: 0 + 9 = 9 -2c = 9 Divide each side by '-2'. c = -4.5 Simplifying c = -4.5Subproblem 2
Set the factor '(7 + -1c)' equal to zero and attempt to solve: Simplifying 7 + -1c = 0 Solving 7 + -1c = 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 + -1c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1c = 0 + -7 -1c = 0 + -7 Combine like terms: 0 + -7 = -7 -1c = -7 Divide each side by '-1'. c = 7 Simplifying c = 7Solution
c = {-4.5, 7}
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