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Simplifying 3(2x + -3)(4x + 1) + -1(8x + -5)(3x + 2) = 64 Reorder the terms: 3(-3 + 2x)(4x + 1) + -1(8x + -5)(3x + 2) = 64 Reorder the terms: 3(-3 + 2x)(1 + 4x) + -1(8x + -5)(3x + 2) = 64 Multiply (-3 + 2x) * (1 + 4x) 3(-3(1 + 4x) + 2x * (1 + 4x)) + -1(8x + -5)(3x + 2) = 64 3((1 * -3 + 4x * -3) + 2x * (1 + 4x)) + -1(8x + -5)(3x + 2) = 64 3((-3 + -12x) + 2x * (1 + 4x)) + -1(8x + -5)(3x + 2) = 64 3(-3 + -12x + (1 * 2x + 4x * 2x)) + -1(8x + -5)(3x + 2) = 64 3(-3 + -12x + (2x + 8x2)) + -1(8x + -5)(3x + 2) = 64 Combine like terms: -12x + 2x = -10x 3(-3 + -10x + 8x2) + -1(8x + -5)(3x + 2) = 64 (-3 * 3 + -10x * 3 + 8x2 * 3) + -1(8x + -5)(3x + 2) = 64 (-9 + -30x + 24x2) + -1(8x + -5)(3x + 2) = 64 Reorder the terms: -9 + -30x + 24x2 + -1(-5 + 8x)(3x + 2) = 64 Reorder the terms: -9 + -30x + 24x2 + -1(-5 + 8x)(2 + 3x) = 64 Multiply (-5 + 8x) * (2 + 3x) -9 + -30x + 24x2 + -1(-5(2 + 3x) + 8x * (2 + 3x)) = 64 -9 + -30x + 24x2 + -1((2 * -5 + 3x * -5) + 8x * (2 + 3x)) = 64 -9 + -30x + 24x2 + -1((-10 + -15x) + 8x * (2 + 3x)) = 64 -9 + -30x + 24x2 + -1(-10 + -15x + (2 * 8x + 3x * 8x)) = 64 -9 + -30x + 24x2 + -1(-10 + -15x + (16x + 24x2)) = 64 Combine like terms: -15x + 16x = 1x -9 + -30x + 24x2 + -1(-10 + 1x + 24x2) = 64 -9 + -30x + 24x2 + (-10 * -1 + 1x * -1 + 24x2 * -1) = 64 -9 + -30x + 24x2 + (10 + -1x + -24x2) = 64 Reorder the terms: -9 + 10 + -30x + -1x + 24x2 + -24x2 = 64 Combine like terms: -9 + 10 = 1 1 + -30x + -1x + 24x2 + -24x2 = 64 Combine like terms: -30x + -1x = -31x 1 + -31x + 24x2 + -24x2 = 64 Combine like terms: 24x2 + -24x2 = 0 1 + -31x + 0 = 64 1 + -31x = 64 Solving 1 + -31x = 64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -31x = 64 + -1 Combine like terms: 1 + -1 = 0 0 + -31x = 64 + -1 -31x = 64 + -1 Combine like terms: 64 + -1 = 63 -31x = 63 Divide each side by '-31'. x = -2.032258065 Simplifying x = -2.032258065
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