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Simplifying r(x) = -30(x + -20)(x + 2) Multiply r * x rx = -30(x + -20)(x + 2) Reorder the terms: rx = -30(-20 + x)(x + 2) Reorder the terms: rx = -30(-20 + x)(2 + x) Multiply (-20 + x) * (2 + x) rx = -30(-20(2 + x) + x(2 + x)) rx = -30((2 * -20 + x * -20) + x(2 + x)) rx = -30((-40 + -20x) + x(2 + x)) rx = -30(-40 + -20x + (2 * x + x * x)) rx = -30(-40 + -20x + (2x + x2)) Combine like terms: -20x + 2x = -18x rx = -30(-40 + -18x + x2) rx = (-40 * -30 + -18x * -30 + x2 * -30) rx = (1200 + 540x + -30x2) Solving rx = 1200 + 540x + -30x2 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Divide each side by 'x'. r = 1200x-1 + 540 + -30x Simplifying r = 1200x-1 + 540 + -30x Reorder the terms: r = 540 + 1200x-1 + -30x
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