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Simplifying 2x(c + -3) = (x + 3)(x + -2) Reorder the terms: 2x(-3 + c) = (x + 3)(x + -2) (-3 * 2x + c * 2x) = (x + 3)(x + -2) Reorder the terms: (2cx + -6x) = (x + 3)(x + -2) (2cx + -6x) = (x + 3)(x + -2) Reorder the terms: 2cx + -6x = (3 + x)(x + -2) Reorder the terms: 2cx + -6x = (3 + x)(-2 + x) Multiply (3 + x) * (-2 + x) 2cx + -6x = (3(-2 + x) + x(-2 + x)) 2cx + -6x = ((-2 * 3 + x * 3) + x(-2 + x)) 2cx + -6x = ((-6 + 3x) + x(-2 + x)) 2cx + -6x = (-6 + 3x + (-2 * x + x * x)) 2cx + -6x = (-6 + 3x + (-2x + x2)) Combine like terms: 3x + -2x = 1x 2cx + -6x = (-6 + 1x + x2) Solving 2cx + -6x = -6 + 1x + x2 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6x' to each side of the equation. 2cx + -6x + 6x = -6 + 1x + 6x + x2 Combine like terms: -6x + 6x = 0 2cx + 0 = -6 + 1x + 6x + x2 2cx = -6 + 1x + 6x + x2 Combine like terms: 1x + 6x = 7x 2cx = -6 + 7x + x2 Divide each side by '2x'. c = -3x-1 + 3.5 + 0.5x Simplifying c = -3x-1 + 3.5 + 0.5x Reorder the terms: c = 3.5 + -3x-1 + 0.5x
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