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Simplifying 6x2 + -27x + 72 = 3x(2x + 3) Reorder the terms: 72 + -27x + 6x2 = 3x(2x + 3) Reorder the terms: 72 + -27x + 6x2 = 3x(3 + 2x) 72 + -27x + 6x2 = (3 * 3x + 2x * 3x) 72 + -27x + 6x2 = (9x + 6x2) Add '-6x2' to each side of the equation. 72 + -27x + 6x2 + -6x2 = 9x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 72 + -27x + 0 = 9x + 6x2 + -6x2 72 + -27x = 9x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 72 + -27x = 9x + 0 72 + -27x = 9x Solving 72 + -27x = 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. 72 + -27x + -9x = 9x + -9x Combine like terms: -27x + -9x = -36x 72 + -36x = 9x + -9x Combine like terms: 9x + -9x = 0 72 + -36x = 0 Add '-72' to each side of the equation. 72 + -72 + -36x = 0 + -72 Combine like terms: 72 + -72 = 0 0 + -36x = 0 + -72 -36x = 0 + -72 Combine like terms: 0 + -72 = -72 -36x = -72 Divide each side by '-36'. x = 2 Simplifying x = 2
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