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Simplifying (x + -4)(2x + 3) = 2x * x Reorder the terms: (-4 + x)(2x + 3) = 2x * x Reorder the terms: (-4 + x)(3 + 2x) = 2x * x Multiply (-4 + x) * (3 + 2x) (-4(3 + 2x) + x(3 + 2x)) = 2x * x ((3 * -4 + 2x * -4) + x(3 + 2x)) = 2x * x ((-12 + -8x) + x(3 + 2x)) = 2x * x (-12 + -8x + (3 * x + 2x * x)) = 2x * x (-12 + -8x + (3x + 2x2)) = 2x * x Combine like terms: -8x + 3x = -5x (-12 + -5x + 2x2) = 2x * x Multiply x * x -12 + -5x + 2x2 = 2x2 Add '-2x2' to each side of the equation. -12 + -5x + 2x2 + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -12 + -5x + 0 = 2x2 + -2x2 -12 + -5x = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -12 + -5x = 0 Solving -12 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -5x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = 0 + 12 -5x = 0 + 12 Combine like terms: 0 + 12 = 12 -5x = 12 Divide each side by '-5'. x = -2.4 Simplifying x = -2.4
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