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Simplifying x3 + 6x2 + 7x + -2cos(x) = 0 Multiply cos * x x3 + 6x2 + 7x + -2cosx = 0 Reorder the terms: -2cosx + 7x + 6x2 + x3 = 0 Solving -2cosx + 7x + 6x2 + x3 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7x' to each side of the equation. -2cosx + 7x + 6x2 + -7x + x3 = 0 + -7x Reorder the terms: -2cosx + 7x + -7x + 6x2 + x3 = 0 + -7x Combine like terms: 7x + -7x = 0 -2cosx + 0 + 6x2 + x3 = 0 + -7x -2cosx + 6x2 + x3 = 0 + -7x Remove the zero: -2cosx + 6x2 + x3 = -7x Add '-6x2' to each side of the equation. -2cosx + 6x2 + -6x2 + x3 = -7x + -6x2 Combine like terms: 6x2 + -6x2 = 0 -2cosx + 0 + x3 = -7x + -6x2 -2cosx + x3 = -7x + -6x2 Add '-1x3' to each side of the equation. -2cosx + x3 + -1x3 = -7x + -6x2 + -1x3 Combine like terms: x3 + -1x3 = 0 -2cosx + 0 = -7x + -6x2 + -1x3 -2cosx = -7x + -6x2 + -1x3 Divide each side by '-2osx'. c = 3.5o-1s-1 + 3o-1s-1x + 0.5o-1s-1x2 Simplifying c = 3.5o-1s-1 + 3o-1s-1x + 0.5o-1s-1x2
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