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Simplifying 3(c + -2)(x + 5) = 17 Reorder the terms: 3(-2 + c)(x + 5) = 17 Reorder the terms: 3(-2 + c)(5 + x) = 17 Multiply (-2 + c) * (5 + x) 3(-2(5 + x) + c(5 + x)) = 17 3((5 * -2 + x * -2) + c(5 + x)) = 17 3((-10 + -2x) + c(5 + x)) = 17 3(-10 + -2x + (5 * c + x * c)) = 17 3(-10 + -2x + (5c + cx)) = 17 Reorder the terms: 3(-10 + 5c + cx + -2x) = 17 3(-10 + 5c + cx + -2x) = 17 (-10 * 3 + 5c * 3 + cx * 3 + -2x * 3) = 17 (-30 + 15c + 3cx + -6x) = 17 Solving -30 + 15c + 3cx + -6x = 17 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 15c + 3cx + 30 + -6x = 17 + 30 Reorder the terms: -30 + 30 + 15c + 3cx + -6x = 17 + 30 Combine like terms: -30 + 30 = 0 0 + 15c + 3cx + -6x = 17 + 30 15c + 3cx + -6x = 17 + 30 Combine like terms: 17 + 30 = 47 15c + 3cx + -6x = 47 Add '6x' to each side of the equation. 15c + 3cx + -6x + 6x = 47 + 6x Combine like terms: -6x + 6x = 0 15c + 3cx + 0 = 47 + 6x 15c + 3cx = 47 + 6x Reorder the terms: -47 + 15c + 3cx + -6x = 47 + 6x + -47 + -6x Reorder the terms: -47 + 15c + 3cx + -6x = 47 + -47 + 6x + -6x Combine like terms: 47 + -47 = 0 -47 + 15c + 3cx + -6x = 0 + 6x + -6x -47 + 15c + 3cx + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 -47 + 15c + 3cx + -6x = 0 The solution to this equation could not be determined.
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