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Simplifying x(x + -2) = x2 + 4x + 5 Reorder the terms: x(-2 + x) = x2 + 4x + 5 (-2 * x + x * x) = x2 + 4x + 5 (-2x + x2) = x2 + 4x + 5 Reorder the terms: -2x + x2 = 5 + 4x + x2 Add '-1x2' to each side of the equation. -2x + x2 + -1x2 = 5 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2x + 0 = 5 + 4x + x2 + -1x2 -2x = 5 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2x = 5 + 4x + 0 -2x = 5 + 4x Solving -2x = 5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2x + -4x = 5 + 4x + -4x Combine like terms: -2x + -4x = -6x -6x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -6x = 5 + 0 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333
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