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Simplifying (8c4 + -1)(2c4 + -4) = 0 Reorder the terms: (-1 + 8c4)(2c4 + -4) = 0 Reorder the terms: (-1 + 8c4)(-4 + 2c4) = 0 Multiply (-1 + 8c4) * (-4 + 2c4) (-1(-4 + 2c4) + 8c4 * (-4 + 2c4)) = 0 ((-4 * -1 + 2c4 * -1) + 8c4 * (-4 + 2c4)) = 0 ((4 + -2c4) + 8c4 * (-4 + 2c4)) = 0 (4 + -2c4 + (-4 * 8c4 + 2c4 * 8c4)) = 0 (4 + -2c4 + (-32c4 + 16c8)) = 0 Combine like terms: -2c4 + -32c4 = -34c4 (4 + -34c4 + 16c8) = 0 Solving 4 + -34c4 + 16c8 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2'. 2(2 + -17c4 + 8c8) = 0 Factor a trinomial. 2((1 + -8c4)(2 + -1c4)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -8c4)' equal to zero and attempt to solve: Simplifying 1 + -8c4 = 0 Solving 1 + -8c4 = 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 + -8c4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8c4 = 0 + -1 -8c4 = 0 + -1 Combine like terms: 0 + -1 = -1 -8c4 = -1 Divide each side by '-8'. c4 = 0.125 Simplifying c4 = 0.125 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2 + -1c4)' equal to zero and attempt to solve: Simplifying 2 + -1c4 = 0 Solving 2 + -1c4 = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1c4 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1c4 = 0 + -2 -1c4 = 0 + -2 Combine like terms: 0 + -2 = -2 -1c4 = -2 Divide each side by '-1'. c4 = 2 Simplifying c4 = 2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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