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Simplifying 3x(x + 2) + 5 = 3(x + 2)(x + 4) Reorder the terms: 3x(2 + x) + 5 = 3(x + 2)(x + 4) (2 * 3x + x * 3x) + 5 = 3(x + 2)(x + 4) (6x + 3x2) + 5 = 3(x + 2)(x + 4) Reorder the terms: 5 + 6x + 3x2 = 3(x + 2)(x + 4) Reorder the terms: 5 + 6x + 3x2 = 3(2 + x)(x + 4) Reorder the terms: 5 + 6x + 3x2 = 3(2 + x)(4 + x) Multiply (2 + x) * (4 + x) 5 + 6x + 3x2 = 3(2(4 + x) + x(4 + x)) 5 + 6x + 3x2 = 3((4 * 2 + x * 2) + x(4 + x)) 5 + 6x + 3x2 = 3((8 + 2x) + x(4 + x)) 5 + 6x + 3x2 = 3(8 + 2x + (4 * x + x * x)) 5 + 6x + 3x2 = 3(8 + 2x + (4x + x2)) Combine like terms: 2x + 4x = 6x 5 + 6x + 3x2 = 3(8 + 6x + x2) 5 + 6x + 3x2 = (8 * 3 + 6x * 3 + x2 * 3) 5 + 6x + 3x2 = (24 + 18x + 3x2) Add '-3x2' to each side of the equation. 5 + 6x + 3x2 + -3x2 = 24 + 18x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 5 + 6x + 0 = 24 + 18x + 3x2 + -3x2 5 + 6x = 24 + 18x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 5 + 6x = 24 + 18x + 0 5 + 6x = 24 + 18x Solving 5 + 6x = 24 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 5 + 6x + -18x = 24 + 18x + -18x Combine like terms: 6x + -18x = -12x 5 + -12x = 24 + 18x + -18x Combine like terms: 18x + -18x = 0 5 + -12x = 24 + 0 5 + -12x = 24 Add '-5' to each side of the equation. 5 + -5 + -12x = 24 + -5 Combine like terms: 5 + -5 = 0 0 + -12x = 24 + -5 -12x = 24 + -5 Combine like terms: 24 + -5 = 19 -12x = 19 Divide each side by '-12'. x = -1.583333333 Simplifying x = -1.583333333
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