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Simplifying x(1 + 3x) = (3x + -1)(x + -3) (1 * x + 3x * x) = (3x + -1)(x + -3) (1x + 3x2) = (3x + -1)(x + -3) Reorder the terms: 1x + 3x2 = (-1 + 3x)(x + -3) Reorder the terms: 1x + 3x2 = (-1 + 3x)(-3 + x) Multiply (-1 + 3x) * (-3 + x) 1x + 3x2 = (-1(-3 + x) + 3x * (-3 + x)) 1x + 3x2 = ((-3 * -1 + x * -1) + 3x * (-3 + x)) 1x + 3x2 = ((3 + -1x) + 3x * (-3 + x)) 1x + 3x2 = (3 + -1x + (-3 * 3x + x * 3x)) 1x + 3x2 = (3 + -1x + (-9x + 3x2)) Combine like terms: -1x + -9x = -10x 1x + 3x2 = (3 + -10x + 3x2) Add '-3x2' to each side of the equation. 1x + 3x2 + -3x2 = 3 + -10x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 1x + 0 = 3 + -10x + 3x2 + -3x2 1x = 3 + -10x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 1x = 3 + -10x + 0 1x = 3 + -10x Solving 1x = 3 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 1x + 10x = 3 + -10x + 10x Combine like terms: 1x + 10x = 11x 11x = 3 + -10x + 10x Combine like terms: -10x + 10x = 0 11x = 3 + 0 11x = 3 Divide each side by '11'. x = 0.2727272727 Simplifying x = 0.2727272727
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