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Simplifying 6c * 8c + -1(6c + -2)(8c + -2) = 0 Reorder the terms for easier multiplication: 6 * 8c * c + -1(6c + -2)(8c + -2) = 0 Multiply 6 * 8 48c * c + -1(6c + -2)(8c + -2) = 0 Multiply c * c 48c2 + -1(6c + -2)(8c + -2) = 0 Reorder the terms: 48c2 + -1(-2 + 6c)(8c + -2) = 0 Reorder the terms: 48c2 + -1(-2 + 6c)(-2 + 8c) = 0 Multiply (-2 + 6c) * (-2 + 8c) 48c2 + -1(-2(-2 + 8c) + 6c * (-2 + 8c)) = 0 48c2 + -1((-2 * -2 + 8c * -2) + 6c * (-2 + 8c)) = 0 48c2 + -1((4 + -16c) + 6c * (-2 + 8c)) = 0 48c2 + -1(4 + -16c + (-2 * 6c + 8c * 6c)) = 0 48c2 + -1(4 + -16c + (-12c + 48c2)) = 0 Combine like terms: -16c + -12c = -28c 48c2 + -1(4 + -28c + 48c2) = 0 48c2 + (4 * -1 + -28c * -1 + 48c2 * -1) = 0 48c2 + (-4 + 28c + -48c2) = 0 Reorder the terms: -4 + 28c + 48c2 + -48c2 = 0 Combine like terms: 48c2 + -48c2 = 0 -4 + 28c + 0 = 0 -4 + 28c = 0 Solving -4 + 28c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 28c = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 28c = 0 + 4 28c = 0 + 4 Combine like terms: 0 + 4 = 4 28c = 4 Divide each side by '28'. c = 0.1428571429 Simplifying c = 0.1428571429
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