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Simplifying x(x + -4) = x2 + 4x + 5 Reorder the terms: x(-4 + x) = x2 + 4x + 5 (-4 * x + x * x) = x2 + 4x + 5 (-4x + x2) = x2 + 4x + 5 Reorder the terms: -4x + x2 = 5 + 4x + x2 Add '-1x2' to each side of the equation. -4x + x2 + -1x2 = 5 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4x + 0 = 5 + 4x + x2 + -1x2 -4x = 5 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4x = 5 + 4x + 0 -4x = 5 + 4x Solving -4x = 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. -4x + -4x = 5 + 4x + -4x Combine like terms: -4x + -4x = -8x -8x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -8x = 5 + 0 -8x = 5 Divide each side by '-8'. x = -0.625 Simplifying x = -0.625
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