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Simplifying 54 = (2x + 3)(x + 3) + -1(2x)(x) Reorder the terms: 54 = (3 + 2x)(x + 3) + -1(2x)(x) Reorder the terms: 54 = (3 + 2x)(3 + x) + -1(2x)(x) Multiply (3 + 2x) * (3 + x) 54 = (3(3 + x) + 2x * (3 + x)) + -1(2x)(x) 54 = ((3 * 3 + x * 3) + 2x * (3 + x)) + -1(2x)(x) 54 = ((9 + 3x) + 2x * (3 + x)) + -1(2x)(x) 54 = (9 + 3x + (3 * 2x + x * 2x)) + -1(2x)(x) 54 = (9 + 3x + (6x + 2x2)) + -1(2x)(x) Combine like terms: 3x + 6x = 9x 54 = (9 + 9x + 2x2) + -1(2x)(x) Remove parenthesis around (2x) 54 = 9 + 9x + 2x2 + -1 * 2x(x) Multiply -1 * 2 54 = 9 + 9x + 2x2 + -2x * x Multiply x * x 54 = 9 + 9x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 54 = 9 + 9x + 0 54 = 9 + 9x Solving 54 = 9 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 54 + -9x = 9 + 9x + -9x Combine like terms: 9x + -9x = 0 54 + -9x = 9 + 0 54 + -9x = 9 Add '-54' to each side of the equation. 54 + -54 + -9x = 9 + -54 Combine like terms: 54 + -54 = 0 0 + -9x = 9 + -54 -9x = 9 + -54 Combine like terms: 9 + -54 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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