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Simplifying [(x + 3)(x + 3)] + -1(x * x) = 39 Reorder the terms: [(3 + x)(x + 3)] + -1(x * x) = 39 Reorder the terms: [(3 + x)(3 + x)] + -1(x * x) = 39 Multiply (3 + x) * (3 + x) [(3(3 + x) + x(3 + x))] + -1(x * x) = 39 [((3 * 3 + x * 3) + x(3 + x))] + -1(x * x) = 39 [((9 + 3x) + x(3 + x))] + -1(x * x) = 39 [(9 + 3x + (3 * x + x * x))] + -1(x * x) = 39 [(9 + 3x + (3x + x2))] + -1(x * x) = 39 Combine like terms: 3x + 3x = 6x [(9 + 6x + x2)] + -1(x * x) = 39 [9 + 6x + x2] + -1(x * x) = 39 Remove brackets around [9 + 6x + x2] 9 + 6x + x2 + -1(x * x) = 39 Multiply x * x 9 + 6x + x2 + -1(x2) = 39 Combine like terms: x2 + -1x2 = 0 9 + 6x + 0 = 39 9 + 6x = 39 Solving 9 + 6x = 39 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 6x = 39 + -9 Combine like terms: 9 + -9 = 0 0 + 6x = 39 + -9 6x = 39 + -9 Combine like terms: 39 + -9 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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