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Simplifying (x + 1)(8x + -3) = (4x + -3)(2x + 1) Reorder the terms: (1 + x)(8x + -3) = (4x + -3)(2x + 1) Reorder the terms: (1 + x)(-3 + 8x) = (4x + -3)(2x + 1) Multiply (1 + x) * (-3 + 8x) (1(-3 + 8x) + x(-3 + 8x)) = (4x + -3)(2x + 1) ((-3 * 1 + 8x * 1) + x(-3 + 8x)) = (4x + -3)(2x + 1) ((-3 + 8x) + x(-3 + 8x)) = (4x + -3)(2x + 1) (-3 + 8x + (-3 * x + 8x * x)) = (4x + -3)(2x + 1) (-3 + 8x + (-3x + 8x2)) = (4x + -3)(2x + 1) Combine like terms: 8x + -3x = 5x (-3 + 5x + 8x2) = (4x + -3)(2x + 1) Reorder the terms: -3 + 5x + 8x2 = (-3 + 4x)(2x + 1) Reorder the terms: -3 + 5x + 8x2 = (-3 + 4x)(1 + 2x) Multiply (-3 + 4x) * (1 + 2x) -3 + 5x + 8x2 = (-3(1 + 2x) + 4x * (1 + 2x)) -3 + 5x + 8x2 = ((1 * -3 + 2x * -3) + 4x * (1 + 2x)) -3 + 5x + 8x2 = ((-3 + -6x) + 4x * (1 + 2x)) -3 + 5x + 8x2 = (-3 + -6x + (1 * 4x + 2x * 4x)) -3 + 5x + 8x2 = (-3 + -6x + (4x + 8x2)) Combine like terms: -6x + 4x = -2x -3 + 5x + 8x2 = (-3 + -2x + 8x2) Add '3' to each side of the equation. -3 + 5x + 3 + 8x2 = -3 + -2x + 3 + 8x2 Reorder the terms: -3 + 3 + 5x + 8x2 = -3 + -2x + 3 + 8x2 Combine like terms: -3 + 3 = 0 0 + 5x + 8x2 = -3 + -2x + 3 + 8x2 5x + 8x2 = -3 + -2x + 3 + 8x2 Reorder the terms: 5x + 8x2 = -3 + 3 + -2x + 8x2 Combine like terms: -3 + 3 = 0 5x + 8x2 = 0 + -2x + 8x2 5x + 8x2 = -2x + 8x2 Add '-8x2' to each side of the equation. 5x + 8x2 + -8x2 = -2x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 5x + 0 = -2x + 8x2 + -8x2 5x = -2x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 5x = -2x + 0 5x = -2x Solving 5x = -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. 5x + 2x = -2x + 2x Combine like terms: 5x + 2x = 7x 7x = -2x + 2x Combine like terms: -2x + 2x = 0 7x = 0 Divide each side by '7'. x = 0 Simplifying x = 0
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