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Simplifying (9c + 7)(2c + -3) = 0 Reorder the terms: (7 + 9c)(2c + -3) = 0 Reorder the terms: (7 + 9c)(-3 + 2c) = 0 Multiply (7 + 9c) * (-3 + 2c) (7(-3 + 2c) + 9c * (-3 + 2c)) = 0 ((-3 * 7 + 2c * 7) + 9c * (-3 + 2c)) = 0 ((-21 + 14c) + 9c * (-3 + 2c)) = 0 (-21 + 14c + (-3 * 9c + 2c * 9c)) = 0 (-21 + 14c + (-27c + 18c2)) = 0 Combine like terms: 14c + -27c = -13c (-21 + -13c + 18c2) = 0 Solving -21 + -13c + 18c2 = 0 Solving for variable 'c'. Factor a trinomial. (-7 + -9c)(3 + -2c) = 0Subproblem 1
Set the factor '(-7 + -9c)' equal to zero and attempt to solve: Simplifying -7 + -9c = 0 Solving -7 + -9c = 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 + -9c = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -9c = 0 + 7 -9c = 0 + 7 Combine like terms: 0 + 7 = 7 -9c = 7 Divide each side by '-9'. c = -0.7777777778 Simplifying c = -0.7777777778Subproblem 2
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 = 1.5Solution
c = {-0.7777777778, 1.5}
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