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Simplifying c(x) = (9x + -4)(6x + -3) Multiply c * x cx = (9x + -4)(6x + -3) Reorder the terms: cx = (-4 + 9x)(6x + -3) Reorder the terms: cx = (-4 + 9x)(-3 + 6x) Multiply (-4 + 9x) * (-3 + 6x) cx = (-4(-3 + 6x) + 9x * (-3 + 6x)) cx = ((-3 * -4 + 6x * -4) + 9x * (-3 + 6x)) cx = ((12 + -24x) + 9x * (-3 + 6x)) cx = (12 + -24x + (-3 * 9x + 6x * 9x)) cx = (12 + -24x + (-27x + 54x2)) Combine like terms: -24x + -27x = -51x cx = (12 + -51x + 54x2) Solving cx = 12 + -51x + 54x2 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Divide each side by 'x'. c = 12x-1 + -51 + 54x Simplifying c = 12x-1 + -51 + 54x Reorder the terms: c = -51 + 12x-1 + 54x
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