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Simplifying (2 + -3x)(2x + 4) = 5 + -6x * x Reorder the terms: (2 + -3x)(4 + 2x) = 5 + -6x * x Multiply (2 + -3x) * (4 + 2x) (2(4 + 2x) + -3x * (4 + 2x)) = 5 + -6x * x ((4 * 2 + 2x * 2) + -3x * (4 + 2x)) = 5 + -6x * x ((8 + 4x) + -3x * (4 + 2x)) = 5 + -6x * x (8 + 4x + (4 * -3x + 2x * -3x)) = 5 + -6x * x (8 + 4x + (-12x + -6x2)) = 5 + -6x * x Combine like terms: 4x + -12x = -8x (8 + -8x + -6x2) = 5 + -6x * x Multiply x * x 8 + -8x + -6x2 = 5 + -6x2 Add '6x2' to each side of the equation. 8 + -8x + -6x2 + 6x2 = 5 + -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 8 + -8x + 0 = 5 + -6x2 + 6x2 8 + -8x = 5 + -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 8 + -8x = 5 + 0 8 + -8x = 5 Solving 8 + -8x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -8x = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = 5 + -8 -8x = 5 + -8 Combine like terms: 5 + -8 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375
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