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Simplifying 3x(x + -2) + -1 = 3(x + 2)(x + 4) Reorder the terms: 3x(-2 + x) + -1 = 3(x + 2)(x + 4) (-2 * 3x + x * 3x) + -1 = 3(x + 2)(x + 4) (-6x + 3x2) + -1 = 3(x + 2)(x + 4) Reorder the terms: -1 + -6x + 3x2 = 3(x + 2)(x + 4) Reorder the terms: -1 + -6x + 3x2 = 3(2 + x)(x + 4) Reorder the terms: -1 + -6x + 3x2 = 3(2 + x)(4 + x) Multiply (2 + x) * (4 + x) -1 + -6x + 3x2 = 3(2(4 + x) + x(4 + x)) -1 + -6x + 3x2 = 3((4 * 2 + x * 2) + x(4 + x)) -1 + -6x + 3x2 = 3((8 + 2x) + x(4 + x)) -1 + -6x + 3x2 = 3(8 + 2x + (4 * x + x * x)) -1 + -6x + 3x2 = 3(8 + 2x + (4x + x2)) Combine like terms: 2x + 4x = 6x -1 + -6x + 3x2 = 3(8 + 6x + x2) -1 + -6x + 3x2 = (8 * 3 + 6x * 3 + x2 * 3) -1 + -6x + 3x2 = (24 + 18x + 3x2) Add '-3x2' to each side of the equation. -1 + -6x + 3x2 + -3x2 = 24 + 18x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -1 + -6x + 0 = 24 + 18x + 3x2 + -3x2 -1 + -6x = 24 + 18x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -1 + -6x = 24 + 18x + 0 -1 + -6x = 24 + 18x Solving -1 + -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. -1 + -6x + -18x = 24 + 18x + -18x Combine like terms: -6x + -18x = -24x -1 + -24x = 24 + 18x + -18x Combine like terms: 18x + -18x = 0 -1 + -24x = 24 + 0 -1 + -24x = 24 Add '1' to each side of the equation. -1 + 1 + -24x = 24 + 1 Combine like terms: -1 + 1 = 0 0 + -24x = 24 + 1 -24x = 24 + 1 Combine like terms: 24 + 1 = 25 -24x = 25 Divide each side by '-24'. x = -1.041666667 Simplifying x = -1.041666667
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