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Simplifying 13(13) + -12(12) = x(x) Multiply 13 * 13 169 + -12(12) = x(x) Multiply -12 * 12 169 + -144 = x(x) Combine like terms: 169 + -144 = 25 25 = x(x) Multiply x * x 25 = x2 Solving 25 = 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. 25 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 25 + -1x2 = 0 Add '-25' to each side of the equation. 25 + -25 + -1x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1x2 = 0 + -25 -1x2 = 0 + -25 Combine like terms: 0 + -25 = -25 -1x2 = -25 Divide each side by '-1'. x2 = 25 Simplifying x2 = 25 Take the square root of each side: x = {-5, 5}
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