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Simplifying x(x + 4) + -2 = x2 + -4x + 3 Reorder the terms: x(4 + x) + -2 = x2 + -4x + 3 (4 * x + x * x) + -2 = x2 + -4x + 3 (4x + x2) + -2 = x2 + -4x + 3 Reorder the terms: -2 + 4x + x2 = x2 + -4x + 3 Reorder the terms: -2 + 4x + x2 = 3 + -4x + x2 Add '-1x2' to each side of the equation. -2 + 4x + x2 + -1x2 = 3 + -4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2 + 4x + 0 = 3 + -4x + x2 + -1x2 -2 + 4x = 3 + -4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2 + 4x = 3 + -4x + 0 -2 + 4x = 3 + -4x Solving -2 + 4x = 3 + -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. -2 + 4x + 4x = 3 + -4x + 4x Combine like terms: 4x + 4x = 8x -2 + 8x = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 8x = 3 + 0 -2 + 8x = 3 Add '2' to each side of the equation. -2 + 2 + 8x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = 3 + 2 8x = 3 + 2 Combine like terms: 3 + 2 = 5 8x = 5 Divide each side by '8'. x = 0.625 Simplifying x = 0.625
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