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Simplifying 12 = 4x2 + 24x + 32 + 12c Reorder the terms: 12 = 32 + 12c + 24x + 4x2 Solving 12 = 32 + 12c + 24x + 4x2 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. 12 + -12c = 32 + 12c + 24x + -12c + 4x2 Reorder the terms: 12 + -12c = 32 + 12c + -12c + 24x + 4x2 Combine like terms: 12c + -12c = 0 12 + -12c = 32 + 0 + 24x + 4x2 12 + -12c = 32 + 24x + 4x2 Add '-12' to each side of the equation. 12 + -12 + -12c = 32 + 24x + -12 + 4x2 Combine like terms: 12 + -12 = 0 0 + -12c = 32 + 24x + -12 + 4x2 -12c = 32 + 24x + -12 + 4x2 Reorder the terms: -12c = 32 + -12 + 24x + 4x2 Combine like terms: 32 + -12 = 20 -12c = 20 + 24x + 4x2 Divide each side by '-12'. c = -1.666666667 + -2x + -0.3333333333x2 Simplifying c = -1.666666667 + -2x + -0.3333333333x2
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