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Simplifying 3x(5 + -2x) = -6x(x + 2) + 81 (5 * 3x + -2x * 3x) = -6x(x + 2) + 81 (15x + -6x2) = -6x(x + 2) + 81 Reorder the terms: 15x + -6x2 = -6x(2 + x) + 81 15x + -6x2 = (2 * -6x + x * -6x) + 81 15x + -6x2 = (-12x + -6x2) + 81 Reorder the terms: 15x + -6x2 = 81 + -12x + -6x2 Add '6x2' to each side of the equation. 15x + -6x2 + 6x2 = 81 + -12x + -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 15x + 0 = 81 + -12x + -6x2 + 6x2 15x = 81 + -12x + -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 15x = 81 + -12x + 0 15x = 81 + -12x Solving 15x = 81 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 15x + 12x = 81 + -12x + 12x Combine like terms: 15x + 12x = 27x 27x = 81 + -12x + 12x Combine like terms: -12x + 12x = 0 27x = 81 + 0 27x = 81 Divide each side by '27'. x = 3 Simplifying x = 3
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