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Simplifying (2x)(2x) = (2x + 4)(2x + 4) + -9x Remove parenthesis around (2x) 2x(2x) = (2x + 4)(2x + 4) + -9x Remove parenthesis around (2x) 2x * 2x = (2x + 4)(2x + 4) + -9x Reorder the terms for easier multiplication: 2 * 2x * x = (2x + 4)(2x + 4) + -9x Multiply 2 * 2 4x * x = (2x + 4)(2x + 4) + -9x Multiply x * x 4x2 = (2x + 4)(2x + 4) + -9x Reorder the terms: 4x2 = (4 + 2x)(2x + 4) + -9x Reorder the terms: 4x2 = (4 + 2x)(4 + 2x) + -9x Multiply (4 + 2x) * (4 + 2x) 4x2 = (4(4 + 2x) + 2x * (4 + 2x)) + -9x 4x2 = ((4 * 4 + 2x * 4) + 2x * (4 + 2x)) + -9x 4x2 = ((16 + 8x) + 2x * (4 + 2x)) + -9x 4x2 = (16 + 8x + (4 * 2x + 2x * 2x)) + -9x 4x2 = (16 + 8x + (8x + 4x2)) + -9x Combine like terms: 8x + 8x = 16x 4x2 = (16 + 16x + 4x2) + -9x Reorder the terms: 4x2 = 16 + 16x + -9x + 4x2 Combine like terms: 16x + -9x = 7x 4x2 = 16 + 7x + 4x2 Add '-4x2' to each side of the equation. 4x2 + -4x2 = 16 + 7x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 0 = 16 + 7x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 0 = 16 + 7x + 0 0 = 16 + 7x Solving 0 = 16 + 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. 0 + -7x = 16 + 7x + -7x Remove the zero: -7x = 16 + 7x + -7x Combine like terms: 7x + -7x = 0 -7x = 16 + 0 -7x = 16 Divide each side by '-7'. x = -2.285714286 Simplifying x = -2.285714286
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