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Simplifying forX4 + 6x3 + 12x2 + -70x + 75 = 0 Reorder the terms: 75 + forX4 + -70x + 12x2 + 6x3 = 0 Solving 75 + forX4 + -70x + 12x2 + 6x3 = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + forX4 + -70x + 12x2 + -75 + 6x3 = 0 + -75 Reorder the terms: 75 + -75 + forX4 + -70x + 12x2 + 6x3 = 0 + -75 Combine like terms: 75 + -75 = 0 0 + forX4 + -70x + 12x2 + 6x3 = 0 + -75 forX4 + -70x + 12x2 + 6x3 = 0 + -75 Combine like terms: 0 + -75 = -75 forX4 + -70x + 12x2 + 6x3 = -75 Add '70x' to each side of the equation. forX4 + -70x + 12x2 + 70x + 6x3 = -75 + 70x Reorder the terms: forX4 + -70x + 70x + 12x2 + 6x3 = -75 + 70x Combine like terms: -70x + 70x = 0 forX4 + 0 + 12x2 + 6x3 = -75 + 70x forX4 + 12x2 + 6x3 = -75 + 70x Add '-12x2' to each side of the equation. forX4 + 12x2 + -12x2 + 6x3 = -75 + 70x + -12x2 Combine like terms: 12x2 + -12x2 = 0 forX4 + 0 + 6x3 = -75 + 70x + -12x2 forX4 + 6x3 = -75 + 70x + -12x2 Add '-6x3' to each side of the equation. forX4 + 6x3 + -6x3 = -75 + 70x + -12x2 + -6x3 Combine like terms: 6x3 + -6x3 = 0 forX4 + 0 = -75 + 70x + -12x2 + -6x3 forX4 = -75 + 70x + -12x2 + -6x3 Divide each side by 'orX4'. f = -75o-1r-1X-4 + 70o-1r-1xX-4 + -12o-1r-1x2X-4 + -6o-1r-1x3X-4 Simplifying f = -75o-1r-1X-4 + 70o-1r-1xX-4 + -12o-1r-1x2X-4 + -6o-1r-1x3X-4
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