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Simplifying x2 + 5x + 3 = (x + -1)(x + -3) Reorder the terms: 3 + 5x + x2 = (x + -1)(x + -3) Reorder the terms: 3 + 5x + x2 = (-1 + x)(x + -3) Reorder the terms: 3 + 5x + x2 = (-1 + x)(-3 + x) Multiply (-1 + x) * (-3 + x) 3 + 5x + x2 = (-1(-3 + x) + x(-3 + x)) 3 + 5x + x2 = ((-3 * -1 + x * -1) + x(-3 + x)) 3 + 5x + x2 = ((3 + -1x) + x(-3 + x)) 3 + 5x + x2 = (3 + -1x + (-3 * x + x * x)) 3 + 5x + x2 = (3 + -1x + (-3x + x2)) Combine like terms: -1x + -3x = -4x 3 + 5x + x2 = (3 + -4x + x2) Add '-3' to each side of the equation. 3 + 5x + -3 + x2 = 3 + -4x + -3 + x2 Reorder the terms: 3 + -3 + 5x + x2 = 3 + -4x + -3 + x2 Combine like terms: 3 + -3 = 0 0 + 5x + x2 = 3 + -4x + -3 + x2 5x + x2 = 3 + -4x + -3 + x2 Reorder the terms: 5x + x2 = 3 + -3 + -4x + x2 Combine like terms: 3 + -3 = 0 5x + x2 = 0 + -4x + x2 5x + x2 = -4x + x2 Add '-1x2' to each side of the equation. 5x + x2 + -1x2 = -4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5x + 0 = -4x + x2 + -1x2 5x = -4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5x = -4x + 0 5x = -4x Solving 5x = -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. 5x + 4x = -4x + 4x Combine like terms: 5x + 4x = 9x 9x = -4x + 4x Combine like terms: -4x + 4x = 0 9x = 0 Divide each side by '9'. x = 0 Simplifying x = 0
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