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Simplifying c(x) = (7x2 + 3)(4) + -1(4x + -7)(14x + 3) Multiply c * x cx = (7x2 + 3)(4) + -1(4x + -7)(14x + 3) Reorder the terms: cx = (3 + 7x2)(4) + -1(4x + -7)(14x + 3) Reorder the terms for easier multiplication: cx = 4(3 + 7x2) + -1(4x + -7)(14x + 3) cx = (3 * 4 + 7x2 * 4) + -1(4x + -7)(14x + 3) cx = (12 + 28x2) + -1(4x + -7)(14x + 3) Reorder the terms: cx = 12 + 28x2 + -1(-7 + 4x)(14x + 3) Reorder the terms: cx = 12 + 28x2 + -1(-7 + 4x)(3 + 14x) Multiply (-7 + 4x) * (3 + 14x) cx = 12 + 28x2 + -1(-7(3 + 14x) + 4x * (3 + 14x)) cx = 12 + 28x2 + -1((3 * -7 + 14x * -7) + 4x * (3 + 14x)) cx = 12 + 28x2 + -1((-21 + -98x) + 4x * (3 + 14x)) cx = 12 + 28x2 + -1(-21 + -98x + (3 * 4x + 14x * 4x)) cx = 12 + 28x2 + -1(-21 + -98x + (12x + 56x2)) Combine like terms: -98x + 12x = -86x cx = 12 + 28x2 + -1(-21 + -86x + 56x2) cx = 12 + 28x2 + (-21 * -1 + -86x * -1 + 56x2 * -1) cx = 12 + 28x2 + (21 + 86x + -56x2) Reorder the terms: cx = 12 + 21 + 86x + 28x2 + -56x2 Combine like terms: 12 + 21 = 33 cx = 33 + 86x + 28x2 + -56x2 Combine like terms: 28x2 + -56x2 = -28x2 cx = 33 + 86x + -28x2 Solving cx = 33 + 86x + -28x2 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Divide each side by 'x'. c = 33x-1 + 86 + -28x Simplifying c = 33x-1 + 86 + -28x Reorder the terms: c = 86 + 33x-1 + -28x
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