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Simplifying (6x2 + -4c + 30) + (4x2 + 7x + -59) = 0 Reorder the terms: (30 + -4c + 6x2) + (4x2 + 7x + -59) = 0 Remove parenthesis around (30 + -4c + 6x2) 30 + -4c + 6x2 + (4x2 + 7x + -59) = 0 Reorder the terms: 30 + -4c + 6x2 + (-59 + 7x + 4x2) = 0 Remove parenthesis around (-59 + 7x + 4x2) 30 + -4c + 6x2 + -59 + 7x + 4x2 = 0 Reorder the terms: 30 + -59 + -4c + 7x + 6x2 + 4x2 = 0 Combine like terms: 30 + -59 = -29 -29 + -4c + 7x + 6x2 + 4x2 = 0 Combine like terms: 6x2 + 4x2 = 10x2 -29 + -4c + 7x + 10x2 = 0 Solving -29 + -4c + 7x + 10x2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '29' to each side of the equation. -29 + -4c + 7x + 29 + 10x2 = 0 + 29 Reorder the terms: -29 + 29 + -4c + 7x + 10x2 = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -4c + 7x + 10x2 = 0 + 29 -4c + 7x + 10x2 = 0 + 29 Combine like terms: 0 + 29 = 29 -4c + 7x + 10x2 = 29 Add '-7x' to each side of the equation. -4c + 7x + -7x + 10x2 = 29 + -7x Combine like terms: 7x + -7x = 0 -4c + 0 + 10x2 = 29 + -7x -4c + 10x2 = 29 + -7x Add '-10x2' to each side of the equation. -4c + 10x2 + -10x2 = 29 + -7x + -10x2 Combine like terms: 10x2 + -10x2 = 0 -4c + 0 = 29 + -7x + -10x2 -4c = 29 + -7x + -10x2 Divide each side by '-4'. c = -7.25 + 1.75x + 2.5x2 Simplifying c = -7.25 + 1.75x + 2.5x2
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