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Simplifying (4c + -3)(7c + -9) = 0 Reorder the terms: (-3 + 4c)(7c + -9) = 0 Reorder the terms: (-3 + 4c)(-9 + 7c) = 0 Multiply (-3 + 4c) * (-9 + 7c) (-3(-9 + 7c) + 4c * (-9 + 7c)) = 0 ((-9 * -3 + 7c * -3) + 4c * (-9 + 7c)) = 0 ((27 + -21c) + 4c * (-9 + 7c)) = 0 (27 + -21c + (-9 * 4c + 7c * 4c)) = 0 (27 + -21c + (-36c + 28c2)) = 0 Combine like terms: -21c + -36c = -57c (27 + -57c + 28c2) = 0 Solving 27 + -57c + 28c2 = 0 Solving for variable 'c'. Factor a trinomial. (3 + -4c)(9 + -7c) = 0Subproblem 1
Set the factor '(3 + -4c)' equal to zero and attempt to solve: Simplifying 3 + -4c = 0 Solving 3 + -4c = 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 + -4c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4c = 0 + -3 -4c = 0 + -3 Combine like terms: 0 + -3 = -3 -4c = -3 Divide each side by '-4'. c = 0.75 Simplifying c = 0.75Subproblem 2
Set the factor '(9 + -7c)' equal to zero and attempt to solve: Simplifying 9 + -7c = 0 Solving 9 + -7c = 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 + -7c = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7c = 0 + -9 -7c = 0 + -9 Combine like terms: 0 + -9 = -9 -7c = -9 Divide each side by '-7'. c = 1.285714286 Simplifying c = 1.285714286Solution
c = {0.75, 1.285714286}
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