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Simplifying f(x) = 4(-7x + 4)(x + -3)(-6x + 1) Multiply f * x fx = 4(-7x + 4)(x + -3)(-6x + 1) Reorder the terms: fx = 4(4 + -7x)(x + -3)(-6x + 1) Reorder the terms: fx = 4(4 + -7x)(-3 + x)(-6x + 1) Reorder the terms: fx = 4(4 + -7x)(-3 + x)(1 + -6x) Multiply (4 + -7x) * (-3 + x) fx = 4(4(-3 + x) + -7x * (-3 + x))(1 + -6x) fx = 4((-3 * 4 + x * 4) + -7x * (-3 + x))(1 + -6x) fx = 4((-12 + 4x) + -7x * (-3 + x))(1 + -6x) fx = 4(-12 + 4x + (-3 * -7x + x * -7x))(1 + -6x) fx = 4(-12 + 4x + (21x + -7x2))(1 + -6x) Combine like terms: 4x + 21x = 25x fx = 4(-12 + 25x + -7x2)(1 + -6x) Multiply (-12 + 25x + -7x2) * (1 + -6x) fx = 4(-12(1 + -6x) + 25x * (1 + -6x) + -7x2 * (1 + -6x)) fx = 4((1 * -12 + -6x * -12) + 25x * (1 + -6x) + -7x2 * (1 + -6x)) fx = 4((-12 + 72x) + 25x * (1 + -6x) + -7x2 * (1 + -6x)) fx = 4(-12 + 72x + (1 * 25x + -6x * 25x) + -7x2 * (1 + -6x)) fx = 4(-12 + 72x + (25x + -150x2) + -7x2 * (1 + -6x)) fx = 4(-12 + 72x + 25x + -150x2 + (1 * -7x2 + -6x * -7x2)) fx = 4(-12 + 72x + 25x + -150x2 + (-7x2 + 42x3)) Combine like terms: 72x + 25x = 97x fx = 4(-12 + 97x + -150x2 + -7x2 + 42x3) Combine like terms: -150x2 + -7x2 = -157x2 fx = 4(-12 + 97x + -157x2 + 42x3) fx = (-12 * 4 + 97x * 4 + -157x2 * 4 + 42x3 * 4) fx = (-48 + 388x + -628x2 + 168x3) Solving fx = -48 + 388x + -628x2 + 168x3 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -48x-1 + 388 + -628x + 168x2 Simplifying f = -48x-1 + 388 + -628x + 168x2 Reorder the terms: f = 388 + -48x-1 + -628x + 168x2
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