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Simplifying 900 = ((3x)(3x)) + ((4x)(4x)) Remove parenthesis around (3x) 900 = (3x(3x)) + ((4x)(4x)) Remove parenthesis around (3x) 900 = (3x * 3x) + ((4x)(4x)) Reorder the terms for easier multiplication: 900 = (3 * 3x * x) + ((4x)(4x)) Multiply 3 * 3 900 = (9x * x) + ((4x)(4x)) Multiply x * x 900 = (9x2) + ((4x)(4x)) Remove parenthesis around (4x) 900 = (9x2) + (4x(4x)) Remove parenthesis around (4x) 900 = (9x2) + (4x * 4x) Reorder the terms for easier multiplication: 900 = (9x2) + (4 * 4x * x) Multiply 4 * 4 900 = (9x2) + (16x * x) Multiply x * x 900 = (9x2) + (16x2) Combine like terms: (9x2) + (16x2) = 25x2 900 = 25x2 Solving 900 = 25x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x2' to each side of the equation. 900 + -25x2 = 25x2 + -25x2 Combine like terms: 25x2 + -25x2 = 0 900 + -25x2 = 0 Add '-900' to each side of the equation. 900 + -900 + -25x2 = 0 + -900 Combine like terms: 900 + -900 = 0 0 + -25x2 = 0 + -900 -25x2 = 0 + -900 Combine like terms: 0 + -900 = -900 -25x2 = -900 Divide each side by '-25'. x2 = 36 Simplifying x2 = 36 Take the square root of each side: x = {-6, 6}
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