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Simplifying x(x + 1) = (x + -6)(x + 4) Reorder the terms: x(1 + x) = (x + -6)(x + 4) (1 * x + x * x) = (x + -6)(x + 4) (1x + x2) = (x + -6)(x + 4) Reorder the terms: 1x + x2 = (-6 + x)(x + 4) Reorder the terms: 1x + x2 = (-6 + x)(4 + x) Multiply (-6 + x) * (4 + x) 1x + x2 = (-6(4 + x) + x(4 + x)) 1x + x2 = ((4 * -6 + x * -6) + x(4 + x)) 1x + x2 = ((-24 + -6x) + x(4 + x)) 1x + x2 = (-24 + -6x + (4 * x + x * x)) 1x + x2 = (-24 + -6x + (4x + x2)) Combine like terms: -6x + 4x = -2x 1x + x2 = (-24 + -2x + x2) Add '-1x2' to each side of the equation. 1x + x2 + -1x2 = -24 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1x + 0 = -24 + -2x + x2 + -1x2 1x = -24 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1x = -24 + -2x + 0 1x = -24 + -2x Solving 1x = -24 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 1x + 2x = -24 + -2x + 2x Combine like terms: 1x + 2x = 3x 3x = -24 + -2x + 2x Combine like terms: -2x + 2x = 0 3x = -24 + 0 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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