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Simplifying (x + 2)(x * x + 3x + -1) = (x * x * x) + 5x * x Reorder the terms: (2 + x)(x * x + 3x + -1) = (x * x * x) + 5x * x Multiply x * x (2 + x)(x2 + 3x + -1) = (x * x * x) + 5x * x Reorder the terms: (2 + x)(-1 + 3x + x2) = (x * x * x) + 5x * x Multiply (2 + x) * (-1 + 3x + x2) (2(-1 + 3x + x2) + x(-1 + 3x + x2)) = (x * x * x) + 5x * x ((-1 * 2 + 3x * 2 + x2 * 2) + x(-1 + 3x + x2)) = (x * x * x) + 5x * x ((-2 + 6x + 2x2) + x(-1 + 3x + x2)) = (x * x * x) + 5x * x (-2 + 6x + 2x2 + (-1 * x + 3x * x + x2 * x)) = (x * x * x) + 5x * x (-2 + 6x + 2x2 + (-1x + 3x2 + x3)) = (x * x * x) + 5x * x Reorder the terms: (-2 + 6x + -1x + 2x2 + 3x2 + x3) = (x * x * x) + 5x * x Combine like terms: 6x + -1x = 5x (-2 + 5x + 2x2 + 3x2 + x3) = (x * x * x) + 5x * x Combine like terms: 2x2 + 3x2 = 5x2 (-2 + 5x + 5x2 + x3) = (x * x * x) + 5x * x Multiply x * x -2 + 5x + 5x2 + x3 = (x2 * x) + 5x * x Multiply x2 * x -2 + 5x + 5x2 + x3 = (x3) + 5x * x -2 + 5x + 5x2 + x3 = x3 + 5x * x Multiply x * x -2 + 5x + 5x2 + x3 = x3 + 5x2 Reorder the terms: -2 + 5x + 5x2 + x3 = 5x2 + x3 Add '-5x2' to each side of the equation. -2 + 5x + 5x2 + -5x2 + x3 = 5x2 + -5x2 + x3 Combine like terms: 5x2 + -5x2 = 0 -2 + 5x + 0 + x3 = 5x2 + -5x2 + x3 -2 + 5x + x3 = 5x2 + -5x2 + x3 Combine like terms: 5x2 + -5x2 = 0 -2 + 5x + x3 = 0 + x3 -2 + 5x + x3 = x3 Add '-1x3' to each side of the equation. -2 + 5x + x3 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -2 + 5x + 0 = x3 + -1x3 -2 + 5x = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -2 + 5x = 0 Solving -2 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = 0 + 2 5x = 0 + 2 Combine like terms: 0 + 2 = 2 5x = 2 Divide each side by '5'. x = 0.4 Simplifying x = 0.4
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