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Simplifying (4x + -3)(2x + 3) + -8x(x + -4) = 0 Reorder the terms: (-3 + 4x)(2x + 3) + -8x(x + -4) = 0 Reorder the terms: (-3 + 4x)(3 + 2x) + -8x(x + -4) = 0 Multiply (-3 + 4x) * (3 + 2x) (-3(3 + 2x) + 4x * (3 + 2x)) + -8x(x + -4) = 0 ((3 * -3 + 2x * -3) + 4x * (3 + 2x)) + -8x(x + -4) = 0 ((-9 + -6x) + 4x * (3 + 2x)) + -8x(x + -4) = 0 (-9 + -6x + (3 * 4x + 2x * 4x)) + -8x(x + -4) = 0 (-9 + -6x + (12x + 8x2)) + -8x(x + -4) = 0 Combine like terms: -6x + 12x = 6x (-9 + 6x + 8x2) + -8x(x + -4) = 0 Reorder the terms: -9 + 6x + 8x2 + -8x(-4 + x) = 0 -9 + 6x + 8x2 + (-4 * -8x + x * -8x) = 0 -9 + 6x + 8x2 + (32x + -8x2) = 0 Reorder the terms: -9 + 6x + 32x + 8x2 + -8x2 = 0 Combine like terms: 6x + 32x = 38x -9 + 38x + 8x2 + -8x2 = 0 Combine like terms: 8x2 + -8x2 = 0 -9 + 38x + 0 = 0 -9 + 38x = 0 Solving -9 + 38x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 38x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 38x = 0 + 9 38x = 0 + 9 Combine like terms: 0 + 9 = 9 38x = 9 Divide each side by '38'. x = 0.2368421053 Simplifying x = 0.2368421053
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