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Simplifying (4c + -9)(c + c + -7) = 0 Reorder the terms: (-9 + 4c)(c + c + -7) = 0 Reorder the terms: (-9 + 4c)(-7 + c + c) = 0 Combine like terms: c + c = 2c (-9 + 4c)(-7 + 2c) = 0 Multiply (-9 + 4c) * (-7 + 2c) (-9(-7 + 2c) + 4c * (-7 + 2c)) = 0 ((-7 * -9 + 2c * -9) + 4c * (-7 + 2c)) = 0 ((63 + -18c) + 4c * (-7 + 2c)) = 0 (63 + -18c + (-7 * 4c + 2c * 4c)) = 0 (63 + -18c + (-28c + 8c2)) = 0 Combine like terms: -18c + -28c = -46c (63 + -46c + 8c2) = 0 Solving 63 + -46c + 8c2 = 0 Solving for variable 'c'. Factor a trinomial. (9 + -4c)(7 + -2c) = 0Subproblem 1
Set the factor '(9 + -4c)' equal to zero and attempt to solve: Simplifying 9 + -4c = 0 Solving 9 + -4c = 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 + -4c = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4c = 0 + -9 -4c = 0 + -9 Combine like terms: 0 + -9 = -9 -4c = -9 Divide each side by '-4'. c = 2.25 Simplifying c = 2.25Subproblem 2
Set the factor '(7 + -2c)' equal to zero and attempt to solve: Simplifying 7 + -2c = 0 Solving 7 + -2c = 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 + -2c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2c = 0 + -7 -2c = 0 + -7 Combine like terms: 0 + -7 = -7 -2c = -7 Divide each side by '-2'. c = 3.5 Simplifying c = 3.5Solution
c = {2.25, 3.5}
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