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Simplifying c(x) = (x2 + -5x)(7x + 11) Multiply c * x cx = (x2 + -5x)(7x + 11) Reorder the terms: cx = (-5x + x2)(7x + 11) Reorder the terms: cx = (-5x + x2)(11 + 7x) Multiply (-5x + x2) * (11 + 7x) cx = (-5x * (11 + 7x) + x2(11 + 7x)) cx = ((11 * -5x + 7x * -5x) + x2(11 + 7x)) cx = ((-55x + -35x2) + x2(11 + 7x)) cx = (-55x + -35x2 + (11 * x2 + 7x * x2)) cx = (-55x + -35x2 + (11x2 + 7x3)) Combine like terms: -35x2 + 11x2 = -24x2 cx = (-55x + -24x2 + 7x3) Solving cx = -55x + -24x2 + 7x3 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Divide each side by 'x'. c = -55 + -24x + 7x2 Simplifying c = -55 + -24x + 7x2
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