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Simplifying 10 * 10 = x * x + 6 * 6 Multiply 10 * 10 100 = x * x + 6 * 6 Multiply x * x 100 = x2 + 6 * 6 Multiply 6 * 6 100 = x2 + 36 Reorder the terms: 100 = 36 + x2 Solving 100 = 36 + x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x2' to each side of the equation. 100 + -1x2 = 36 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 100 + -1x2 = 36 + 0 100 + -1x2 = 36 Add '-100' to each side of the equation. 100 + -100 + -1x2 = 36 + -100 Combine like terms: 100 + -100 = 0 0 + -1x2 = 36 + -100 -1x2 = 36 + -100 Combine like terms: 36 + -100 = -64 -1x2 = -64 Divide each side by '-1'. x2 = 64 Simplifying x2 = 64 Take the square root of each side: x = {-8, 8}
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