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Simplifying (x + 3)(x + 3) = x(x + 7) Reorder the terms: (3 + x)(x + 3) = x(x + 7) Reorder the terms: (3 + x)(3 + x) = x(x + 7) Multiply (3 + x) * (3 + x) (3(3 + x) + x(3 + x)) = x(x + 7) ((3 * 3 + x * 3) + x(3 + x)) = x(x + 7) ((9 + 3x) + x(3 + x)) = x(x + 7) (9 + 3x + (3 * x + x * x)) = x(x + 7) (9 + 3x + (3x + x2)) = x(x + 7) Combine like terms: 3x + 3x = 6x (9 + 6x + x2) = x(x + 7) Reorder the terms: 9 + 6x + x2 = x(7 + x) 9 + 6x + x2 = (7 * x + x * x) 9 + 6x + x2 = (7x + x2) Add '-1x2' to each side of the equation. 9 + 6x + x2 + -1x2 = 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9 + 6x + 0 = 7x + x2 + -1x2 9 + 6x = 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9 + 6x = 7x + 0 9 + 6x = 7x Solving 9 + 6x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 9 + 6x + -7x = 7x + -7x Combine like terms: 6x + -7x = -1x 9 + -1x = 7x + -7x Combine like terms: 7x + -7x = 0 9 + -1x = 0 Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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