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Simplifying (x + 0.9)(2x + 1.8) + -1.62 = 2x2 + 2.7x Reorder the terms: (0.9 + x)(2x + 1.8) + -1.62 = 2x2 + 2.7x Reorder the terms: (0.9 + x)(1.8 + 2x) + -1.62 = 2x2 + 2.7x Multiply (0.9 + x) * (1.8 + 2x) (0.9(1.8 + 2x) + x(1.8 + 2x)) + -1.62 = 2x2 + 2.7x ((1.8 * 0.9 + 2x * 0.9) + x(1.8 + 2x)) + -1.62 = 2x2 + 2.7x ((1.62 + 1.8x) + x(1.8 + 2x)) + -1.62 = 2x2 + 2.7x (1.62 + 1.8x + (1.8 * x + 2x * x)) + -1.62 = 2x2 + 2.7x (1.62 + 1.8x + (1.8x + 2x2)) + -1.62 = 2x2 + 2.7x Combine like terms: 1.8x + 1.8x = 3.6x (1.62 + 3.6x + 2x2) + -1.62 = 2x2 + 2.7x Reorder the terms: 1.62 + -1.62 + 3.6x + 2x2 = 2x2 + 2.7x Combine like terms: 1.62 + -1.62 = 0.00 0.00 + 3.6x + 2x2 = 2x2 + 2.7x 3.6x + 2x2 = 2x2 + 2.7x Reorder the terms: 3.6x + 2x2 = 2.7x + 2x2 Add '-2x2' to each side of the equation. 3.6x + 2x2 + -2x2 = 2.7x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 3.6x + 0 = 2.7x + 2x2 + -2x2 3.6x = 2.7x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 3.6x = 2.7x + 0 3.6x = 2.7x Solving 3.6x = 2.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.7x' to each side of the equation. 3.6x + -2.7x = 2.7x + -2.7x Combine like terms: 3.6x + -2.7x = 0.9x 0.9x = 2.7x + -2.7x Combine like terms: 2.7x + -2.7x = 0.0 0.9x = 0.0 Divide each side by '0.9'. x = 0 Simplifying x = 0
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